Running /usr/bin/pdflatex Stochastik1.tex in an env with 4 entries: This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013/Debian) restricted \write18 enabled. entering extended mode (data/Stochastik1.tex LaTeX2e <2011/06/27> Babel <3.9h> and hyphenation patterns for 78 languages loaded. (/usr/share/texlive/texmf-dist/tex/latex/base/book.cls Document Class: book 2007/10/19 v1.4h Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/bk11.clo)) (data/latexki.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/generic/german/ngerman.sty v2.5e 1998-07-08) (/usr/share/texlive/texmf-dist/tex/latex/fancyhdr/fancyhdr.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/euscript.sty) (/usr/share/texlive/texmf-dist/tex/latex/base/makeidx.sty) (/usr/share/texlive/texmf-dist/tex/latex/hyperref/hyperref.sty (/usr/share/texlive/texmf-dist/tex/generic/oberdiek/hobsub-hyperref.sty (/usr/share/texlive/texmf-dist/tex/generic/oberdiek/hobsub-generic.sty)) (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/generic/ifxetex/ifxetex.sty) (/usr/share/texlive/texmf-dist/tex/latex/oberdiek/auxhook.sty) (/usr/share/texlive/texmf-dist/tex/latex/oberdiek/kvoptions.sty) (/usr/share/texlive/texmf-dist/tex/latex/hyperref/pd1enc.def) (/usr/share/texlive/texmf-dist/tex/latex/latexconfig/hyperref.cfg) (/usr/share/texlive/texmf-dist/tex/latex/url/url.sty)) Package hyperref Message: Driver (autodetected): hpdftex. (/usr/share/texlive/texmf-dist/tex/latex/hyperref/hpdftex.def (/usr/share/texlive/texmf-dist/tex/latex/oberdiek/rerunfilecheck.sty)) (/usr/share/texlive/texmf-dist/tex/latex/ntheorem/ntheorem.sty Style `ntheorem', Version 1.33 <2011/08/15> (/usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/tools/enumerate.sty) (/usr/share/texlive/texmf-dist/tex/latex/mh/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mh/mhsetup.sty)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty (/usr/share/texlive/texmf-dist/tex/latex/base/utf8.def (/usr/share/texlive/texmf-dist/tex/latex/base/t1enc.dfu) (/usr/share/texlive/texmf-dist/tex/latex/base/ot1enc.dfu) (/usr/share/texlive/texmf-dist/tex/latex/base/omsenc.dfu))) Writing index file Stochastik1.idx No file Stochastik1.aux. (/usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty (/usr/share/texlive/texmf-dist/tex/generic/oberdiek/gettitlestring.sty)) (/usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty) (/usr/share/texlive/texmf-dist/tex/latex/latexconfig/graphics.cfg) (/usr/share/texlive/texmf-dist/tex/latex/pdftex-def/pdftex.def (/usr/share/texlive/texmf-dist/tex/context/base/supp-pdf.mkii [Loading MPS to PDF converter (version 2006.09.02).] ))) (/usr/share/texlive/texmf-dist/tex/latex/oberdiek/epstopdf-base.sty (/usr/share/texlive/texmf-dist/tex/latex/oberdiek/grfext.sty) (/usr/share/texlive/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg))) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsa.fd) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd) Overfull \hbox (12.672pt too wide) in paragraph at lines 102--102 [][] [1{/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}] [2] [3] [4] Kapitel 1. (/usr/share/texlive/texmf-dist/tex/latex/base/omscmr.fd) Underfull \hbox (badness 10000) in paragraph at lines 116--117 Underfull \hbox (badness 10000) in paragraph at lines 127--128 Underfull \hbox (badness 10000) in paragraph at lines 129--136 pdfTeX warning (ext4): destination with the same identifier (name{page.1}) has been already used, duplicate ignored \relax l.138 \end{itemize} [1] (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/ueus.fd) Underfull \hbox (badness 10000) in paragraph at lines 153--154 Underfull \hbox (badness 10000) in paragraph at lines 168--169 Underfull \hbox (badness 10000) in paragraph at lines 177--178 Underfull \hbox (badness 10000) in paragraph at lines 178--179 pdfTeX warning (ext4): destination with the same identifier (name{page.2}) has been already used, duplicate ignored \relax l.180 \end{Def} [2] Underfull \hbox (badness 10000) in paragraph at lines 183--184 Underfull \hbox (badness 10000) in paragraph at lines 194--195 Underfull \hbox (badness 10000) in paragraph at lines 196--197 Underfull \hbox (badness 10000) in paragraph at lines 201--202 pdfTeX warning (ext4): destination with the same identifier (name{page.3}) has been already used, duplicate ignored \relax l.218 [3] Overfull \hbox (2.65424pt too wide) detected at line 247 []\OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 ([] \OML/cmm/m/it/10.95 A[]\OT1/cmr/m /n/10.95 ) = [](\OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 A[ ]\OT1/cmr/m/n/10.95 )) [] \OML/cmm/m/it/10.95 A[] [] A[] pdfTeX warning (ext4): destination with the same identifier (name{page.4}) has been already used, duplicate ignored \relax l.249 ...k=1}^{n}P(A_k)\qquad \forall\, n \in \N\] [4] Underfull \hbox (badness 10000) in paragraph at lines 269--271 Underfull \hbox (badness 10000) in paragraph at lines 274--275 Underfull \hbox (badness 10000) in paragraph at lines 287--288 Underfull \hbox (badness 10000) in paragraph at lines 289--290 [5] Underfull \hbox (badness 10000) in paragraph at lines 291--292 Underfull \hbox (badness 10000) in paragraph at lines 301--302 Overfull \hbox (18.8697pt too wide) detected at line 302 [] \OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 A[]\OT1/cmr/m/n /10.95 ) = [] 1 \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 A[]\OT1/cmr/m/n/10.95 ) = 1 \OMS/cmsy/m/n/10.95 ^^@ [] \O ML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 A[]\OT1/cmr/m/n/10.9 5 ) [] 1 \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 ([] \O ML/cmm/m/it/10.95 A[]\OT1/cmr/m/n/10.95 ) [] \OML/cmm/m/it/10.95 P\OT1/cmr/m/n/ 10.95 ([] \OML/cmm/m/it/10.95 A[]\OT1/cmr/m/n/10.95 ) Underfull \hbox (badness 10000) in paragraph at lines 305--306 [6] Kapitel 2. Overfull \hbox (4.45535pt too wide) in paragraph at lines 343--344 []\OT1/cmr/m/it/10.95 Die An-zahl der Per-mu-ta-tio-nen von $\OML/cmm/m/it/10.9 5 n$ \OT1/cmr/m/it/10.95 Ob-jek-ten mit je-weils $\OML/cmm/m/it/10.95 n[]; n[]; [] ; n[]$ [7] [8] Package amsmath Warning: Foreign command \atopwithdelims; (amsmath) \frac or \genfrac should be used instead (amsmath) on input line 393. Underfull \vbox (badness 2351) has occurred while \output is active [9] Underfull \hbox (badness 10000) in paragraph at lines 441--443 [10] [11] [12] Kapitel 3. [13] Underfull \hbox (badness 10000) in paragraph at lines 544--546 Package Fancyhdr Warning: \headheight is too small (14.0pt): Make it at least 25.16252pt. We now make it that large for the rest of the document. This may cause the page layout to be inconsistent, however. [14] Underfull \hbox (badness 10000) in paragraph at lines 577--578 Underfull \hbox (badness 10000) in paragraph at lines 585--586 [15] Package Fancyhdr Warning: \headheight is too small (14.0pt): Make it at least 25.16252pt. We now make it that large for the rest of the document. This may cause the page layout to be inconsistent, however. [16] Kapitel 4. Underfull \hbox (badness 10000) in paragraph at lines 606--614 Underfull \hbox (badness 10000) in paragraph at lines 631--635 [17] Underfull \hbox (badness 10000) in paragraph at lines 636--637 Overfull \hbox (12.6686pt too wide) detected at line 637 \OT1/cmr/m/n/10.95 1 [] \OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 ([0\OML/cmm/m/i t/10.95 ; \OT1/cmr/m/n/10.95 1)) [] \OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 ([] (\OML/cmm/m/it/10.95 x \OT1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 A\OT1/cmr/m/n/1 0.95 )) [] [] \OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x \O T1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 A\OT1/cmr/m/n/10.95 ) [] [] \OML/cmm/m/i t/10.95 P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 A\OT1/cmr/m/n/10.95 ) Underfull \hbox (badness 10000) in paragraph at lines 647--648 (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/ueuf.fd) Underfull \hbox (badness 10000) in paragraph at lines 660--661 [18] Underfull \hbox (badness 10000) in paragraph at lines 698--699 [19] [20] Kapitel 5. Underfull \hbox (badness 10000) in paragraph at lines 733--736 Underfull \hbox (badness 10000) in paragraph at lines 742--745 [21] Underfull \hbox (badness 10000) in paragraph at lines 767--768 Underfull \hbox (badness 10000) in paragraph at lines 775--776 Package Fancyhdr Warning: \headheight is too small (14.0pt): Make it at least 25.16252pt. We now make it that large for the rest of the document. This may cause the page layout to be inconsistent, however. [22] Underfull \hbox (badness 10000) in paragraph at lines 834--835 Underfull \hbox (badness 10000) in paragraph at lines 839--840 Overfull \hbox (46.1865pt too wide) detected at line 840 \OML/cmm/m/it/10.95 P[]\OT1/cmr/m/n/10.95 ([] \OML/cmm/m/it/10.95 B[]\OT1/cmr/m /n/10.95 ) = \OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X[]\O T1/cmr/m/n/10.95 ([] \OML/cmm/m/it/10.95 B[]\OT1/cmr/m/n/10.95 )) = \OML/cmm/m/ it/10.95 P\OT1/cmr/m/n/10.95 ([] \OML/cmm/m/it/10.95 X[]\OT1/cmr/m/n/10.95 (\OM L/cmm/m/it/10.95 B[]\OT1/cmr/m/n/10.95 )) = [] \OML/cmm/m/it/10.95 P\OT1/cmr/m/ n/10.95 (\OML/cmm/m/it/10.95 X[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 B[]\OT1 /cmr/m/n/10.95 )) = [] \OML/cmm/m/it/10.95 P[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it /10.95 B[]\OT1/cmr/m/n/10.95 ) LaTeX Warning: Reference `satz:4.4' on page 23 undefined on input line 855. [23] Underfull \hbox (badness 10000) in paragraph at lines 891--892 Underfull \hbox (badness 10000) in paragraph at lines 898--899 Underfull \hbox (badness 10000) in paragraph at lines 913--915 Package Fancyhdr Warning: \headheight is too small (14.0pt): Make it at least 25.16252pt. We now make it that large for the rest of the document. This may cause the page layout to be inconsistent, however. [24] [25] Package Fancyhdr Warning: \headheight is too small (14.0pt): Make it at least 25.16252pt. We now make it that large for the rest of the document. This may cause the page layout to be inconsistent, however. [26] Kapitel 6. Underfull \hbox (badness 10000) in paragraph at lines 930--931 Underfull \hbox (badness 10000) in paragraph at lines 933--934 Underfull \vbox (badness 1072) has occurred while \output is active [27] Underfull \hbox (badness 10000) in paragraph at lines 952--954 Underfull \hbox (badness 10000) in paragraph at lines 954--959 Underfull \hbox (badness 10000) in paragraph at lines 954--959 [28] Underfull \hbox (badness 10000) in paragraph at lines 1007--1008 [29] Underfull \hbox (badness 10000) in paragraph at lines 1052--1053 [30] Overfull \hbox (18.63293pt too wide) detected at line 1078 \OT1/cmr/m/n/10.95 ([][] [](\OMS/cmsy/m/n/10.95 ^^@[]\OML/cmm/m/it/10.95 y[]\OT 1/cmr/m/n/10.95 ) \OML/cmm/m/it/10.95 dy\OT1/cmr/m/n/10.95 )[] = [][] [][] []( \OMS/cmsy/m/n/10.95 ^^@[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x[] \OT1/cmr/m /n/10.95 + \OML/cmm/m/it/10.95 y[]\OT1/cmr/m/n/10.95 )) \OML/cmm/m/it/10.95 dxd y \OT1/cmr/m/n/10.95 = [][] [][] \OML/cmm/m/it/10.95 re[] drd' \OT1/cmr/m/n/10 .95 = [31] [32] Kapitel 7. Overfull \hbox (10.91734pt too wide) in paragraph at lines 1098--1099 []\OT1/cmr/m/it/10.95 F[]ur $\OML/cmm/m/it/10.95 X \OMS/cmsy/m/n/10.95 2 \OML/c mm/m/it/10.95 M[]$ \OT1/cmr/m/it/10.95 sei das In-te-gral von $\OML/cmm/m/it/10 .95 X$ \OT1/cmr/m/it/10.95 bez[]uglich $\OML/cmm/m/it/10.95 P$ \OT1/cmr/m/it/10 .95 de-fi-niert durch $[] \OML/cmm/m/it/10.95 XdP \OT1/cmr/m/n/10.95 := [][] \O ML/cmm/m/it/10.95 []P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 A[]\OT1/cmr/m/n/1 0.95 )$ Overfull \hbox (20.661pt too wide) in paragraph at lines 1108--1109 []\OT1/cmr/m/n/10.95 Jetzt wird der In-te-gral-be-griff er-wei-tert. Sei $\OML/ cmm/m/it/10.95 M[] \OT1/cmr/m/n/10.95 := \OMS/cmsy/m/n/10.95 f\OML/cmm/m/it/10. 95 X \OT1/cmr/m/n/10.95 : \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 > \U/msb/m/n/10.95 R[]\OMS/cmsy/m/n /10.95 j\OML/cmm/m/it/10.95 X[]\OMS/cmsy/m/n/10.95 g$\OT1/cmr/m/n/10.95 . [33] Overfull \hbox (9.17323pt too wide) in paragraph at lines 1122--1123 \OT1/cmr/m/n/10.95 den \OT1/cmr/bx/n/10.95 Er-war-tungs-wert[] \OT1/cmr/m/n/10. 95 von $\OML/cmm/m/it/10.95 X$\OT1/cmr/m/n/10.95 . $\OML/cmm/m/it/10.95 X$ \OT1 /cmr/m/n/10.95 hei^^Yt in-te-grier-bar, falls $[] \OML/cmm/m/it/10.95 X[]dP < \ OMS/cmsy/m/n/10.95 1$ \OT1/cmr/m/n/10.95 und $[] \OML/cmm/m/it/10.95 X[]dP < Underfull \hbox (badness 10000) in paragraph at lines 1135--1136 Overfull \hbox (34.34283pt too wide) in paragraph at lines 1158--1158 \OT1/cmr/m/it/10.95 dich-te $\OMS/cmsy/m/n/10.95 f\OML/cmm/m/it/10.95 P[]\OMS/c msy/m/n/10.95 g[]$\OT1/cmr/m/it/10.95 . $\OML/cmm/m/it/10.95 g \OT1/cmr/m/n/10. 95 : \U/msb/m/n/10.95 R \OMS/cmsy/m/n/10.95 ! \U/msb/m/n/10.95 R$ \OT1/cmr/m/it /10.95 sei mess-bar. Dann exis-tiert $\OML/cmm/m/it/10.95 Eg\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X\OT1/cmr/m/n/10.95 )$\OT1/cmr/m/it/10.95 , falls $[][] \O MS/cmsy/m/n/10.95 j\OML/cmm/m/it/10.95 g\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x[]\OT1/cmr/m/n/10.95 )\OMS/cmsy/m/n/10.95 j\OML/cmm/m/it/10.95 P[]\OT1/cmr/m/ n/10.95 (\OML/cmm/m/it/10.95 k\OT1/cmr/m/n/10.95 ) \OML/cmm/m/it/10.95 < [34] [35] Underfull \hbox (badness 10000) in paragraph at lines 1228--1230 [36] [37] [38] Kapitel 8. Underfull \hbox (badness 10000) in paragraph at lines 1260--1261 [39] Overfull \hbox (7.98679pt too wide) in paragraph at lines 1305--1306 []$\OML/cmm/m/it/10.95 X$ \OT1/cmr/m/it/10.95 hei^^Yt \OT1/cmr/bx/it/10.95 dis- kret\OT1/cmr/m/it/10.95 , falls es ei-ne end-li-che oder abz[]ahl-ba-re Men-ge $\OML/cmm/m/it/10.95 C \OT1/cmr/m/n/10.95 = \OMS/cmsy/m/n/10.95 f\OML/cmm/m/it/ 10.95 x[]; x[]; []\OMS/cmsy/m/n/10.95 g ^^Z Underfull \hbox (badness 10000) in paragraph at lines 1311--1312 Overfull \hbox (5.94658pt too wide) detected at line 1315 \OML/cmm/m/it/10.95 f[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x[]\OT1/cmr/m/n/ 10.95 ) = [] \OML/cmm/m/it/10.95 f[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 y[] ; [] ; y[]; x[]; y[]; [] ; y[]\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 dy[] [] d y[]dy[] [] dy[] Overfull \hbox (15.50621pt too wide) detected at line 1316 [] \OML/cmm/m/it/10.95 F[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x[]\OT1/cmr/m /n/10.95 ) = \OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X[] \ OMS/cmsy/m/n/10.95 ^^T \OML/cmm/m/it/10.95 x[]\OT1/cmr/m/n/10.95 ) = [] [] = [] [] \OML/cmm/m/it/10.95 f[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 u\OT1/cmr/m/n /10.95 )\OML/cmm/m/it/10.95 du [40] Overfull \hbox (11.40233pt too wide) in paragraph at lines 1323--1324 []\OT1/cmr/m/n/10.95 Ein Ex-pe-ri-ment (z.B. W[]urfeln) hat $\OML/cmm/m/it/10.9 5 r$ \OT1/cmr/m/n/10.95 m[]ogli- Overfull \hbox (10.77557pt too wide) in alignment at lines 1328--1332 [][][] [] Overfull \hbox (20.07787pt too wide) in paragraph at lines 1338--1339 []\OT1/cmr/m/n/10.95 F[]ur $\OML/cmm/m/it/10.95 r \OT1/cmr/m/n/10.95 = 2$ er-ha l-ten wir die Bi-no-mi-al-ver-tei-lung, al-so $\OML/cmm/m/it/10.95 M\OT1/cmr/m/ n/10.95 (\OML/cmm/m/it/10.95 n; \OT1/cmr/m/n/10.95 2\OML/cmm/m/it/10.95 ; p; \O T1/cmr/m/n/10.95 1 \OMS/cmsy/m/n/10.95 ^^@ Underfull \hbox (badness 10000) in paragraph at lines 1358--1360 Underfull \hbox (badness 10000) in paragraph at lines 1360--1362 [41] [42] Kapitel 9. Underfull \hbox (badness 10000) in paragraph at lines 1375--1376 LaTeX Warning: Reference `satz:4.4' on page 43 undefined on input line 1393. LaTeX Warning: Reference `sec:8.1' on page 43 undefined on input line 1398. LaTeX Warning: Reference `sec:8.1' on page 43 undefined on input line 1398. LaTeX Warning: Reference `satz:4.4' on page 43 undefined on input line 1404. [43] LaTeX Warning: Reference `bsp:8.3' on page 44 undefined on input line 1438. [44] Overfull \hbox (7.66298pt too wide) in paragraph at lines 1455--1457 \OML/cmm/m/it/10.95 '[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X[]; [] ; X[]\OT 1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; '[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10. 95 X[]; [] ; X[]\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; [] ; '[]\OT1/cmr/m/n/ 10.95 (\OML/cmm/m/it/10.95 X[]; [] ; X[]\OT1/cmr/m/n/10.95 )$ un-abh[]angig. [45] [46] Overfull \hbox (4.7216pt too wide) detected at line 1571 []\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X\OT1/cmr/m/n/10.95 ) [](\OML/cmm/m/i t/10.95 Y\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 %[]\OT1/cmr/m/n/10.95 (\OML/cm m/m/it/10.95 X; Y\OT1/cmr/m/n/10.95 ) = (\OML/cmm/m/it/10.95 E\OT1/cmr/m/n/10.9 5 [(\OML/cmm/m/it/10.95 X \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 EX\OT1/cm r/m/n/10.95 )(\OML/cmm/m/it/10.95 Y \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 EY\OT1/cmr/m/n/10.95 )])[] \OMS/cmsy/m/n/10.95 ^^T \OML/cmm/m/it/10.95 E\OT1/c mr/m/n/10.95 (\OML/cmm/m/it/10.95 X \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 EX\OT1/cmr/m/n/10.95 )[]\OML/cmm/m/it/10.95 E\OT1/cmr/m/n/10.95 (\OML/cmm/m/it /10.95 Y \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 EY\OT1/cmr/m/n/10.95 )[] [47] Underfull \hbox (badness 10000) in paragraph at lines 1575--1576 [48] Kapitel 10. Underfull \hbox (badness 10000) in paragraph at lines 1627--1628 [49] Underfull \hbox (badness 10000) in paragraph at lines 1656--1665 Underfull \hbox (badness 10000) in paragraph at lines 1688--1693 [50] [51] [52] Kapitel 11. Underfull \hbox (badness 10000) in paragraph at lines 1728--1729 [53] Underfull \hbox (badness 10000) in paragraph at lines 1764--1767 Underfull \hbox (badness 10000) in paragraph at lines 1779--1787 [54] [55] [56] Kapitel 12. Underfull \hbox (badness 10000) in paragraph at lines 1840--1841 Underfull \hbox (badness 10000) in paragraph at lines 1855--1857 Overfull \hbox (29.3357pt too wide) in paragraph at lines 1862--1862 [] [57] Underfull \hbox (badness 10000) in paragraph at lines 1899--1900 [58] [59] [60] Kapitel 13. Underfull \hbox (badness 10000) in paragraph at lines 1954--1958 [61] [62] Underfull \hbox (badness 10000) in paragraph at lines 2038--2059 Underfull \hbox (badness 10000) in paragraph at lines 2038--2059 Underfull \hbox (badness 10000) in paragraph at lines 2038--2059 [63] [64] [65] Overfull \hbox (13.2811pt too wide) detected at line 2137 \OMS/cmsy/m/n/10.95 ) \OML/cmm/m/it/10.95 P [] \OMS/cmsy/m/n/10.95 ^^Y \OT1/cmr /m/n/10.95 ^^H(0\OML/cmm/m/it/10.95 :\OT1/cmr/m/n/10.95 04[]) \OMS/cmsy/m/n/10. 95 ^^@ \OT1/cmr/m/n/10.95 ^^H(\OMS/cmsy/m/n/10.95 ^^@\OT1/cmr/m/n/10.95 0\OML/c mm/m/it/10.95 :\OT1/cmr/m/n/10.95 04[]) = 2^^H(0\OML/cmm/m/it/10.95 :\OT1/cmr/m /n/10.95 04[]) \OMS/cmsy/m/n/10.95 ^^@ \OT1/cmr/m/n/10.95 1 = 0\OML/cmm/m/it/10 .95 :\OT1/cmr/m/n/10.95 95 [66] Kapitel 14. Underfull \hbox (badness 10000) in paragraph at lines 2142--2147 Underfull \hbox (badness 10000) in paragraph at lines 2170--2181 [67] Underfull \hbox (badness 10000) in paragraph at lines 2197--2198 Overfull \hbox (23.92642pt too wide) detected at line 2200 \OML/cmm/m/it/10.95 L[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 ^^R\OT1/cmr/m/n/ 10.95 ) = \OML/cmm/m/it/10.95 p\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x[]\OT1/ cmr/m/n/10.95 ; \OML/cmm/m/it/10.95 ^^R\OT1/cmr/m/n/10.95 ) [] \OML/cmm/m/it/10 .95 p\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x[]\OT1/cmr/m/n/10.95 ; \OML/cmm/m /it/10.95 ^^R\OT1/cmr/m/n/10.95 ) = \OML/cmm/m/it/10.95 P[]\OT1/cmr/m/n/10.95 ( \OML/cmm/m/it/10.95 X[] \OT1/cmr/m/n/10.95 = \OML/cmm/m/it/10.95 x[]\OT1/cmr/m/ n/10.95 ) [] \OML/cmm/m/it/10.95 P[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X[] \OT1/cmr/m/n/10.95 = \OML/cmm/m/it/10.95 x[]\OT1/cmr/m/n/10.95 ) [] \OML/cmm/m /it/10.95 P[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X \OT1/cmr/m/n/10.95 = \OM L/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 ) Underfull \hbox (badness 10000) in paragraph at lines 2211--2214 [68] Overfull \hbox (8.98767pt too wide) in paragraph at lines 2252--2252 []\OT1/cmr/bx/n/14.4 W[]unschens-wer-te Ei-gen-schaf-ten von Punktsch[]atzern Underfull \hbox (badness 10000) in paragraph at lines 2255--2256 [69] Underfull \hbox (badness 10000) in paragraph at lines 2262--2266 Underfull \hbox (badness 10000) in paragraph at lines 2282--2284 [70] Underfull \hbox (badness 10000) in paragraph at lines 2300--2304 Underfull \hbox (badness 10000) in paragraph at lines 2310--2313 Underfull \hbox (badness 10000) in paragraph at lines 2322--2323 [71] [72] Kapitel 15. Underfull \hbox (badness 10000) in paragraph at lines 2356--2357 [73] [74] Kapitel 16. Underfull \hbox (badness 10000) in paragraph at lines 2401--2405 Underfull \hbox (badness 10000) in paragraph at lines 2406--2409 Underfull \hbox (badness 10000) in paragraph at lines 2410--2411 Underfull \hbox (badness 10000) in paragraph at lines 2411--2413 Underfull \hbox (badness 10000) in paragraph at lines 2413--2415 Underfull \hbox (badness 10000) in paragraph at lines 2416--2417 Underfull \hbox (badness 10000) in paragraph at lines 2425--2430 [75] Underfull \hbox (badness 10000) in paragraph at lines 2467--2468 Underfull \hbox (badness 10000) in paragraph at lines 2469--2470 Underfull \hbox (badness 10000) in paragraph at lines 2472--2474 Underfull \hbox (badness 10000) in paragraph at lines 2479--2481 [76] Underfull \hbox (badness 10000) in paragraph at lines 2482--2483 Underfull \hbox (badness 10000) in paragraph at lines 2493--2496 Underfull \hbox (badness 10000) in paragraph at lines 2507--2509 [77] Underfull \hbox (badness 10000) in paragraph at lines 2524--2526 Underfull \hbox (badness 10000) in paragraph at lines 2543--2546 Underfull \hbox (badness 10000) in paragraph at lines 2551--2554 [78] Underfull \hbox (badness 10000) in paragraph at lines 2558--2559 [79] [80] Overfull \hbox (59.13731pt too wide) detected at line 2645 \OML/cmm/m/it/10.95 P[] [] \OMS/cmsy/m/n/10.95 ^^T \OML/cmm/m/it/10.95 P[] [] \ OT1/cmr/m/n/10.95 = 1 \OMS/cmsy/m/n/10.95 ^^@ \OT1/cmr/m/n/10.95 (1 \OMS/cmsy/m /n/10.95 ^^@ \OML/cmm/m/it/10.95 \OT1/cmr/m/n/10.95 ) = \OML/cmm/m/it/10.95 [81] [82] Kapitel 17. [83] Underfull \hbox (badness 10000) in paragraph at lines 2724--2725 [84] [85] Underfull \hbox (badness 10000) in paragraph at lines 2799--2800 [86] Kapitel 18. [87] No file Stochastik1.ind. [88] (./Stochastik1.aux) Package rerunfilecheck Warning: File `Stochastik1.out' has changed. (rerunfilecheck) Rerun to get outlines right (rerunfilecheck) or use package `bookmark'. LaTeX Warning: There were undefined references. LaTeX Warning: Label(s) may have changed. Rerun to get cross-references right. ) (see the transcript file for additional information) Output written on Stochastik1.pdf (92 pages, 580204 bytes). Transcript written on Stochastik1.log. Result: ExitSuccess Running /usr/bin/makeindex Stochastik1.idx in an env with 4 entries: This is makeindex, version 2.15 [TeX Live 2013] (kpathsea + Thai support). Scanning input file Stochastik1.idx....done (109 entries accepted, 0 rejected). Sorting entries....done (763 comparisons). Generating output file Stochastik1.ind....done (175 lines written, 0 warnings). Output written in Stochastik1.ind. Transcript written in Stochastik1.ilg. Result: ExitSuccess Running /usr/bin/pdflatex Stochastik1.tex in an env with 4 entries: This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013/Debian) restricted \write18 enabled. entering extended mode (data/Stochastik1.tex LaTeX2e <2011/06/27> Babel <3.9h> and hyphenation patterns for 78 languages loaded. (/usr/share/texlive/texmf-dist/tex/latex/base/book.cls Document Class: book 2007/10/19 v1.4h Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/bk11.clo)) (data/latexki.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty)) (/usr/share/texlive/texmf-dist/tex/generic/german/ngerman.sty v2.5e 1998-07-08) (/usr/share/texlive/texmf-dist/tex/latex/fancyhdr/fancyhdr.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/euscript.sty) (/usr/share/texlive/texmf-dist/tex/latex/base/makeidx.sty) (/usr/share/texlive/texmf-dist/tex/latex/hyperref/hyperref.sty (/usr/share/texlive/texmf-dist/tex/generic/oberdiek/hobsub-hyperref.sty (/usr/share/texlive/texmf-dist/tex/generic/oberdiek/hobsub-generic.sty)) (/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty) (/usr/share/texlive/texmf-dist/tex/generic/ifxetex/ifxetex.sty) (/usr/share/texlive/texmf-dist/tex/latex/oberdiek/auxhook.sty) (/usr/share/texlive/texmf-dist/tex/latex/oberdiek/kvoptions.sty) (/usr/share/texlive/texmf-dist/tex/latex/hyperref/pd1enc.def) (/usr/share/texlive/texmf-dist/tex/latex/latexconfig/hyperref.cfg) (/usr/share/texlive/texmf-dist/tex/latex/url/url.sty)) Package hyperref Message: Driver (autodetected): hpdftex. (/usr/share/texlive/texmf-dist/tex/latex/hyperref/hpdftex.def (/usr/share/texlive/texmf-dist/tex/latex/oberdiek/rerunfilecheck.sty)) (/usr/share/texlive/texmf-dist/tex/latex/ntheorem/ntheorem.sty Style `ntheorem', Version 1.33 <2011/08/15> (/usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/tools/enumerate.sty) (/usr/share/texlive/texmf-dist/tex/latex/mh/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mh/mhsetup.sty)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty (/usr/share/texlive/texmf-dist/tex/latex/base/utf8.def (/usr/share/texlive/texmf-dist/tex/latex/base/t1enc.dfu) (/usr/share/texlive/texmf-dist/tex/latex/base/ot1enc.dfu) (/usr/share/texlive/texmf-dist/tex/latex/base/omsenc.dfu))) Writing index file Stochastik1.idx (./Stochastik1.aux) (/usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty (/usr/share/texlive/texmf-dist/tex/generic/oberdiek/gettitlestring.sty)) (./Stochastik1.out) (./Stochastik1.out) (/usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty) (/usr/share/texlive/texmf-dist/tex/latex/latexconfig/graphics.cfg) (/usr/share/texlive/texmf-dist/tex/latex/pdftex-def/pdftex.def (/usr/share/texlive/texmf-dist/tex/context/base/supp-pdf.mkii [Loading MPS to PDF converter (version 2006.09.02).] ))) (/usr/share/texlive/texmf-dist/tex/latex/oberdiek/epstopdf-base.sty (/usr/share/texlive/texmf-dist/tex/latex/oberdiek/grfext.sty) (/usr/share/texlive/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg))) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsa.fd) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd) Overfull \hbox (12.672pt too wide) in paragraph at lines 102--102 [][] [1{/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}] [2] (./Stochastik1.toc [3]) [4] Kapitel 1. (/usr/share/texlive/texmf-dist/tex/latex/base/omscmr.fd) Underfull \hbox (badness 10000) in paragraph at lines 116--117 Underfull \hbox (badness 10000) in paragraph at lines 127--128 Underfull \hbox (badness 10000) in paragraph at lines 129--136 pdfTeX warning (ext4): destination with the same identifier (name{page.1}) has been already used, duplicate ignored \relax l.138 \end{itemize} [1] (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/ueus.fd) Underfull \hbox (badness 10000) in paragraph at lines 153--154 Underfull \hbox (badness 10000) in paragraph at lines 168--169 Underfull \hbox (badness 10000) in paragraph at lines 177--178 Underfull \hbox (badness 10000) in paragraph at lines 178--179 pdfTeX warning (ext4): destination with the same identifier (name{page.2}) has been already used, duplicate ignored \relax l.180 \end{Def} [2] Underfull \hbox (badness 10000) in paragraph at lines 183--184 Underfull \hbox (badness 10000) in paragraph at lines 194--195 Underfull \hbox (badness 10000) in paragraph at lines 196--197 Underfull \hbox (badness 10000) in paragraph at lines 201--202 pdfTeX warning (ext4): destination with the same identifier (name{page.3}) has been already used, duplicate ignored \relax l.218 [3] Overfull \hbox (2.65424pt too wide) detected at line 247 []\OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 ([] \OML/cmm/m/it/10.95 A[]\OT1/cmr/m /n/10.95 ) = [](\OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 A[ ]\OT1/cmr/m/n/10.95 )) [] \OML/cmm/m/it/10.95 A[] [] A[] pdfTeX warning (ext4): destination with the same identifier (name{page.4}) has been already used, duplicate ignored \relax l.249 ...k=1}^{n}P(A_k)\qquad \forall\, n \in \N\] [4] Overfull \hbox (16.91014pt too wide) detected at line 265 [] Underfull \hbox (badness 10000) in paragraph at lines 269--271 Underfull \hbox (badness 10000) in paragraph at lines 274--275 Underfull \hbox (badness 10000) in paragraph at lines 287--288 [5] Underfull \hbox (badness 10000) in paragraph at lines 289--290 Underfull \hbox (badness 10000) in paragraph at lines 291--292 Underfull \hbox (badness 10000) in paragraph at lines 301--302 Overfull \hbox (18.8697pt too wide) detected at line 302 [] \OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 A[]\OT1/cmr/m/n /10.95 ) = [] 1 \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 A[]\OT1/cmr/m/n/10.95 ) = 1 \OMS/cmsy/m/n/10.95 ^^@ [] \O ML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 A[]\OT1/cmr/m/n/10.9 5 ) [] 1 \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 ([] \O ML/cmm/m/it/10.95 A[]\OT1/cmr/m/n/10.95 ) [] \OML/cmm/m/it/10.95 P\OT1/cmr/m/n/ 10.95 ([] \OML/cmm/m/it/10.95 A[]\OT1/cmr/m/n/10.95 ) Underfull \hbox (badness 10000) in paragraph at lines 305--306 [6] Kapitel 2. Overfull \hbox (4.45535pt too wide) in paragraph at lines 343--344 []\OT1/cmr/m/it/10.95 Die An-zahl der Per-mu-ta-tio-nen von $\OML/cmm/m/it/10.9 5 n$ \OT1/cmr/m/it/10.95 Ob-jek-ten mit je-weils $\OML/cmm/m/it/10.95 n[]; n[]; [] ; n[]$ [7] [8] Package amsmath Warning: Foreign command \atopwithdelims; (amsmath) \frac or \genfrac should be used instead (amsmath) on input line 393. Underfull \vbox (badness 2351) has occurred while \output is active [9] Underfull \hbox (badness 10000) in paragraph at lines 441--443 [10] [11] [12] Kapitel 3. [13] Underfull \hbox (badness 10000) in paragraph at lines 544--546 Package Fancyhdr Warning: \headheight is too small (14.0pt): Make it at least 25.16252pt. We now make it that large for the rest of the document. This may cause the page layout to be inconsistent, however. [14] Underfull \hbox (badness 10000) in paragraph at lines 577--578 Underfull \hbox (badness 10000) in paragraph at lines 585--586 [15] Package Fancyhdr Warning: \headheight is too small (14.0pt): Make it at least 25.16252pt. We now make it that large for the rest of the document. This may cause the page layout to be inconsistent, however. [16] Kapitel 4. Underfull \hbox (badness 10000) in paragraph at lines 606--614 Underfull \hbox (badness 10000) in paragraph at lines 631--635 [17] Underfull \hbox (badness 10000) in paragraph at lines 636--637 Overfull \hbox (12.6686pt too wide) detected at line 637 \OT1/cmr/m/n/10.95 1 [] \OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 ([0\OML/cmm/m/i t/10.95 ; \OT1/cmr/m/n/10.95 1)) [] \OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 ([] (\OML/cmm/m/it/10.95 x \OT1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 A\OT1/cmr/m/n/1 0.95 )) [] [] \OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x \O T1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 A\OT1/cmr/m/n/10.95 ) [] [] \OML/cmm/m/i t/10.95 P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 A\OT1/cmr/m/n/10.95 ) Underfull \hbox (badness 10000) in paragraph at lines 647--648 (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/ueuf.fd) Underfull \hbox (badness 10000) in paragraph at lines 660--661 [18] Underfull \hbox (badness 10000) in paragraph at lines 698--699 [19] [20] Kapitel 5. Underfull \hbox (badness 10000) in paragraph at lines 733--736 Underfull \hbox (badness 10000) in paragraph at lines 742--745 [21] Underfull \hbox (badness 10000) in paragraph at lines 767--768 Underfull \hbox (badness 10000) in paragraph at lines 775--776 Package Fancyhdr Warning: \headheight is too small (14.0pt): Make it at least 25.16252pt. We now make it that large for the rest of the document. This may cause the page layout to be inconsistent, however. [22] Underfull \hbox (badness 10000) in paragraph at lines 834--835 Underfull \hbox (badness 10000) in paragraph at lines 839--840 Overfull \hbox (46.1865pt too wide) detected at line 840 \OML/cmm/m/it/10.95 P[]\OT1/cmr/m/n/10.95 ([] \OML/cmm/m/it/10.95 B[]\OT1/cmr/m /n/10.95 ) = \OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X[]\O T1/cmr/m/n/10.95 ([] \OML/cmm/m/it/10.95 B[]\OT1/cmr/m/n/10.95 )) = \OML/cmm/m/ it/10.95 P\OT1/cmr/m/n/10.95 ([] \OML/cmm/m/it/10.95 X[]\OT1/cmr/m/n/10.95 (\OM L/cmm/m/it/10.95 B[]\OT1/cmr/m/n/10.95 )) = [] \OML/cmm/m/it/10.95 P\OT1/cmr/m/ n/10.95 (\OML/cmm/m/it/10.95 X[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 B[]\OT1 /cmr/m/n/10.95 )) = [] \OML/cmm/m/it/10.95 P[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it /10.95 B[]\OT1/cmr/m/n/10.95 ) [23] Underfull \hbox (badness 10000) in paragraph at lines 891--892 Underfull \hbox (badness 10000) in paragraph at lines 898--899 Underfull \hbox (badness 10000) in paragraph at lines 913--915 Package Fancyhdr Warning: \headheight is too small (14.0pt): Make it at least 25.16252pt. We now make it that large for the rest of the document. This may cause the page layout to be inconsistent, however. [24] [25] Package Fancyhdr Warning: \headheight is too small (14.0pt): Make it at least 25.16252pt. We now make it that large for the rest of the document. This may cause the page layout to be inconsistent, however. [26] Kapitel 6. Underfull \hbox (badness 10000) in paragraph at lines 930--931 Underfull \hbox (badness 10000) in paragraph at lines 933--934 Underfull \vbox (badness 1072) has occurred while \output is active [27] Underfull \hbox (badness 10000) in paragraph at lines 952--954 Underfull \hbox (badness 10000) in paragraph at lines 954--959 Underfull \hbox (badness 10000) in paragraph at lines 954--959 [28] Underfull \hbox (badness 10000) in paragraph at lines 1007--1008 [29] Underfull \hbox (badness 10000) in paragraph at lines 1052--1053 [30] Overfull \hbox (18.63293pt too wide) detected at line 1078 \OT1/cmr/m/n/10.95 ([][] [](\OMS/cmsy/m/n/10.95 ^^@[]\OML/cmm/m/it/10.95 y[]\OT 1/cmr/m/n/10.95 ) \OML/cmm/m/it/10.95 dy\OT1/cmr/m/n/10.95 )[] = [][] [][] []( \OMS/cmsy/m/n/10.95 ^^@[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x[] \OT1/cmr/m /n/10.95 + \OML/cmm/m/it/10.95 y[]\OT1/cmr/m/n/10.95 )) \OML/cmm/m/it/10.95 dxd y \OT1/cmr/m/n/10.95 = [][] [][] \OML/cmm/m/it/10.95 re[] drd' \OT1/cmr/m/n/10 .95 = [31] [32] Kapitel 7. Overfull \hbox (10.91734pt too wide) in paragraph at lines 1098--1099 []\OT1/cmr/m/it/10.95 F[]ur $\OML/cmm/m/it/10.95 X \OMS/cmsy/m/n/10.95 2 \OML/c mm/m/it/10.95 M[]$ \OT1/cmr/m/it/10.95 sei das In-te-gral von $\OML/cmm/m/it/10 .95 X$ \OT1/cmr/m/it/10.95 bez[]uglich $\OML/cmm/m/it/10.95 P$ \OT1/cmr/m/it/10 .95 de-fi-niert durch $[] \OML/cmm/m/it/10.95 XdP \OT1/cmr/m/n/10.95 := [][] \O ML/cmm/m/it/10.95 []P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 A[]\OT1/cmr/m/n/1 0.95 )$ Overfull \hbox (20.661pt too wide) in paragraph at lines 1108--1109 []\OT1/cmr/m/n/10.95 Jetzt wird der In-te-gral-be-griff er-wei-tert. Sei $\OML/ cmm/m/it/10.95 M[] \OT1/cmr/m/n/10.95 := \OMS/cmsy/m/n/10.95 f\OML/cmm/m/it/10. 95 X \OT1/cmr/m/n/10.95 : \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 > \U/msb/m/n/10.95 R[]\OMS/cmsy/m/n /10.95 j\OML/cmm/m/it/10.95 X[]\OMS/cmsy/m/n/10.95 g$\OT1/cmr/m/n/10.95 . [33] Overfull \hbox (9.17323pt too wide) in paragraph at lines 1122--1123 \OT1/cmr/m/n/10.95 den \OT1/cmr/bx/n/10.95 Er-war-tungs-wert[] \OT1/cmr/m/n/10. 95 von $\OML/cmm/m/it/10.95 X$\OT1/cmr/m/n/10.95 . $\OML/cmm/m/it/10.95 X$ \OT1 /cmr/m/n/10.95 hei^^Yt in-te-grier-bar, falls $[] \OML/cmm/m/it/10.95 X[]dP < \ OMS/cmsy/m/n/10.95 1$ \OT1/cmr/m/n/10.95 und $[] \OML/cmm/m/it/10.95 X[]dP < Underfull \hbox (badness 10000) in paragraph at lines 1135--1136 Overfull \hbox (34.34283pt too wide) in paragraph at lines 1158--1158 \OT1/cmr/m/it/10.95 dich-te $\OMS/cmsy/m/n/10.95 f\OML/cmm/m/it/10.95 P[]\OMS/c msy/m/n/10.95 g[]$\OT1/cmr/m/it/10.95 . $\OML/cmm/m/it/10.95 g \OT1/cmr/m/n/10. 95 : \U/msb/m/n/10.95 R \OMS/cmsy/m/n/10.95 ! \U/msb/m/n/10.95 R$ \OT1/cmr/m/it /10.95 sei mess-bar. Dann exis-tiert $\OML/cmm/m/it/10.95 Eg\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X\OT1/cmr/m/n/10.95 )$\OT1/cmr/m/it/10.95 , falls $[][] \O MS/cmsy/m/n/10.95 j\OML/cmm/m/it/10.95 g\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x[]\OT1/cmr/m/n/10.95 )\OMS/cmsy/m/n/10.95 j\OML/cmm/m/it/10.95 P[]\OT1/cmr/m/ n/10.95 (\OML/cmm/m/it/10.95 k\OT1/cmr/m/n/10.95 ) \OML/cmm/m/it/10.95 < [34] [35] Underfull \hbox (badness 10000) in paragraph at lines 1228--1230 [36] [37] [38] Kapitel 8. Underfull \hbox (badness 10000) in paragraph at lines 1260--1261 [39] Overfull \hbox (7.98679pt too wide) in paragraph at lines 1305--1306 []$\OML/cmm/m/it/10.95 X$ \OT1/cmr/m/it/10.95 hei^^Yt \OT1/cmr/bx/it/10.95 dis- kret\OT1/cmr/m/it/10.95 , falls es ei-ne end-li-che oder abz[]ahl-ba-re Men-ge $\OML/cmm/m/it/10.95 C \OT1/cmr/m/n/10.95 = \OMS/cmsy/m/n/10.95 f\OML/cmm/m/it/ 10.95 x[]; x[]; []\OMS/cmsy/m/n/10.95 g ^^Z Underfull \hbox (badness 10000) in paragraph at lines 1311--1312 Overfull \hbox (5.94658pt too wide) detected at line 1315 \OML/cmm/m/it/10.95 f[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x[]\OT1/cmr/m/n/ 10.95 ) = [] \OML/cmm/m/it/10.95 f[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 y[] ; [] ; y[]; x[]; y[]; [] ; y[]\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 dy[] [] d y[]dy[] [] dy[] Overfull \hbox (15.50621pt too wide) detected at line 1316 [] \OML/cmm/m/it/10.95 F[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x[]\OT1/cmr/m /n/10.95 ) = \OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X[] \ OMS/cmsy/m/n/10.95 ^^T \OML/cmm/m/it/10.95 x[]\OT1/cmr/m/n/10.95 ) = [] [] = [] [] \OML/cmm/m/it/10.95 f[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 u\OT1/cmr/m/n /10.95 )\OML/cmm/m/it/10.95 du [40] Overfull \hbox (11.40233pt too wide) in paragraph at lines 1323--1324 []\OT1/cmr/m/n/10.95 Ein Ex-pe-ri-ment (z.B. W[]urfeln) hat $\OML/cmm/m/it/10.9 5 r$ \OT1/cmr/m/n/10.95 m[]ogli- Overfull \hbox (10.77557pt too wide) in alignment at lines 1328--1332 [][][] [] Overfull \hbox (20.07787pt too wide) in paragraph at lines 1338--1339 []\OT1/cmr/m/n/10.95 F[]ur $\OML/cmm/m/it/10.95 r \OT1/cmr/m/n/10.95 = 2$ er-ha l-ten wir die Bi-no-mi-al-ver-tei-lung, al-so $\OML/cmm/m/it/10.95 M\OT1/cmr/m/ n/10.95 (\OML/cmm/m/it/10.95 n; \OT1/cmr/m/n/10.95 2\OML/cmm/m/it/10.95 ; p; \O T1/cmr/m/n/10.95 1 \OMS/cmsy/m/n/10.95 ^^@ Underfull \hbox (badness 10000) in paragraph at lines 1358--1360 Underfull \hbox (badness 10000) in paragraph at lines 1360--1362 [41] [42] Kapitel 9. Underfull \hbox (badness 10000) in paragraph at lines 1375--1376 [43] [44] Overfull \hbox (7.66298pt too wide) in paragraph at lines 1455--1457 \OML/cmm/m/it/10.95 '[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X[]; [] ; X[]\OT 1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; '[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10. 95 X[]; [] ; X[]\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; [] ; '[]\OT1/cmr/m/n/ 10.95 (\OML/cmm/m/it/10.95 X[]; [] ; X[]\OT1/cmr/m/n/10.95 )$ un-abh[]angig. [45] [46] Overfull \hbox (4.7216pt too wide) detected at line 1571 []\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X\OT1/cmr/m/n/10.95 ) [](\OML/cmm/m/i t/10.95 Y\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 %[]\OT1/cmr/m/n/10.95 (\OML/cm m/m/it/10.95 X; Y\OT1/cmr/m/n/10.95 ) = (\OML/cmm/m/it/10.95 E\OT1/cmr/m/n/10.9 5 [(\OML/cmm/m/it/10.95 X \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 EX\OT1/cm r/m/n/10.95 )(\OML/cmm/m/it/10.95 Y \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 EY\OT1/cmr/m/n/10.95 )])[] \OMS/cmsy/m/n/10.95 ^^T \OML/cmm/m/it/10.95 E\OT1/c mr/m/n/10.95 (\OML/cmm/m/it/10.95 X \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 EX\OT1/cmr/m/n/10.95 )[]\OML/cmm/m/it/10.95 E\OT1/cmr/m/n/10.95 (\OML/cmm/m/it /10.95 Y \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 EY\OT1/cmr/m/n/10.95 )[] [47] Underfull \hbox (badness 10000) in paragraph at lines 1575--1576 [48] Kapitel 10. Underfull \hbox (badness 10000) in paragraph at lines 1627--1628 [49] Underfull \hbox (badness 10000) in paragraph at lines 1656--1665 Underfull \hbox (badness 10000) in paragraph at lines 1688--1693 [50] [51] [52] Kapitel 11. Underfull \hbox (badness 10000) in paragraph at lines 1728--1729 [53] Underfull \hbox (badness 10000) in paragraph at lines 1764--1767 Underfull \hbox (badness 10000) in paragraph at lines 1779--1787 [54] [55] [56] Kapitel 12. Underfull \hbox (badness 10000) in paragraph at lines 1840--1841 Underfull \hbox (badness 10000) in paragraph at lines 1855--1857 Overfull \hbox (29.3357pt too wide) in paragraph at lines 1862--1862 [] [57] Underfull \hbox (badness 10000) in paragraph at lines 1899--1900 [58] [59] [60] Kapitel 13. Underfull \hbox (badness 10000) in paragraph at lines 1954--1958 [61] [62] Underfull \hbox (badness 10000) in paragraph at lines 2038--2059 Underfull \hbox (badness 10000) in paragraph at lines 2038--2059 Underfull \hbox (badness 10000) in paragraph at lines 2038--2059 [63] [64] [65] Overfull \hbox (13.2811pt too wide) detected at line 2137 \OMS/cmsy/m/n/10.95 ) \OML/cmm/m/it/10.95 P [] \OMS/cmsy/m/n/10.95 ^^Y \OT1/cmr /m/n/10.95 ^^H(0\OML/cmm/m/it/10.95 :\OT1/cmr/m/n/10.95 04[]) \OMS/cmsy/m/n/10. 95 ^^@ \OT1/cmr/m/n/10.95 ^^H(\OMS/cmsy/m/n/10.95 ^^@\OT1/cmr/m/n/10.95 0\OML/c mm/m/it/10.95 :\OT1/cmr/m/n/10.95 04[]) = 2^^H(0\OML/cmm/m/it/10.95 :\OT1/cmr/m /n/10.95 04[]) \OMS/cmsy/m/n/10.95 ^^@ \OT1/cmr/m/n/10.95 1 = 0\OML/cmm/m/it/10 .95 :\OT1/cmr/m/n/10.95 95 [66] Kapitel 14. Underfull \hbox (badness 10000) in paragraph at lines 2142--2147 Underfull \hbox (badness 10000) in paragraph at lines 2170--2181 [67] Underfull \hbox (badness 10000) in paragraph at lines 2197--2198 Overfull \hbox (23.92642pt too wide) detected at line 2200 \OML/cmm/m/it/10.95 L[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 ^^R\OT1/cmr/m/n/ 10.95 ) = \OML/cmm/m/it/10.95 p\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x[]\OT1/ cmr/m/n/10.95 ; \OML/cmm/m/it/10.95 ^^R\OT1/cmr/m/n/10.95 ) [] \OML/cmm/m/it/10 .95 p\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x[]\OT1/cmr/m/n/10.95 ; \OML/cmm/m /it/10.95 ^^R\OT1/cmr/m/n/10.95 ) = \OML/cmm/m/it/10.95 P[]\OT1/cmr/m/n/10.95 ( \OML/cmm/m/it/10.95 X[] \OT1/cmr/m/n/10.95 = \OML/cmm/m/it/10.95 x[]\OT1/cmr/m/ n/10.95 ) [] \OML/cmm/m/it/10.95 P[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X[] \OT1/cmr/m/n/10.95 = \OML/cmm/m/it/10.95 x[]\OT1/cmr/m/n/10.95 ) [] \OML/cmm/m /it/10.95 P[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X \OT1/cmr/m/n/10.95 = \OM L/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 ) Underfull \hbox (badness 10000) in paragraph at lines 2211--2214 [68] Overfull \hbox (8.98767pt too wide) in paragraph at lines 2252--2252 []\OT1/cmr/bx/n/14.4 W[]unschens-wer-te Ei-gen-schaf-ten von Punktsch[]atzern Underfull \hbox (badness 10000) in paragraph at lines 2255--2256 [69] Underfull \hbox (badness 10000) in paragraph at lines 2262--2266 Underfull \hbox (badness 10000) in paragraph at lines 2282--2284 [70] Underfull \hbox (badness 10000) in paragraph at lines 2300--2304 Underfull \hbox (badness 10000) in paragraph at lines 2310--2313 Underfull \hbox (badness 10000) in paragraph at lines 2322--2323 [71] [72] Kapitel 15. Underfull \hbox (badness 10000) in paragraph at lines 2356--2357 [73] [74] Kapitel 16. Underfull \hbox (badness 10000) in paragraph at lines 2401--2405 Underfull \hbox (badness 10000) in paragraph at lines 2406--2409 Underfull \hbox (badness 10000) in paragraph at lines 2410--2411 Underfull \hbox (badness 10000) in paragraph at lines 2411--2413 Underfull \hbox (badness 10000) in paragraph at lines 2413--2415 Underfull \hbox (badness 10000) in paragraph at lines 2416--2417 Underfull \hbox (badness 10000) in paragraph at lines 2425--2430 [75] Underfull \hbox (badness 10000) in paragraph at lines 2467--2468 Underfull \hbox (badness 10000) in paragraph at lines 2469--2470 Underfull \hbox (badness 10000) in paragraph at lines 2472--2474 Underfull \hbox (badness 10000) in paragraph at lines 2479--2481 [76] Underfull \hbox (badness 10000) in paragraph at lines 2482--2483 Underfull \hbox (badness 10000) in paragraph at lines 2493--2496 Underfull \hbox (badness 10000) in paragraph at lines 2507--2509 [77] Underfull \hbox (badness 10000) in paragraph at lines 2524--2526 Underfull \hbox (badness 10000) in paragraph at lines 2543--2546 Underfull \hbox (badness 10000) in paragraph at lines 2551--2554 [78] Underfull \hbox (badness 10000) in paragraph at lines 2558--2559 [79] [80] Overfull \hbox (59.13731pt too wide) detected at line 2645 \OML/cmm/m/it/10.95 P[] [] \OMS/cmsy/m/n/10.95 ^^T \OML/cmm/m/it/10.95 P[] [] \ OT1/cmr/m/n/10.95 = 1 \OMS/cmsy/m/n/10.95 ^^@ \OT1/cmr/m/n/10.95 (1 \OMS/cmsy/m /n/10.95 ^^@ \OML/cmm/m/it/10.95 \OT1/cmr/m/n/10.95 ) = \OML/cmm/m/it/10.95 [81] [82] Kapitel 17. [83] Underfull \hbox (badness 10000) in paragraph at lines 2724--2725 [84] [85] Underfull \hbox (badness 10000) in paragraph at lines 2799--2800 [86] Kapitel 18. [87] (./Stochastik1.ind [88] Overfull \hbox (1.13641pt too wide) in paragraph at lines 94--95 []\OT1/cmr/m/n/10.95 Maximum-Likelihood Schat-zer (MLS), []68[] [89] [90]) (./Stochastik1.aux) ) (see the transcript file for additional information) Output written on Stochastik1.pdf (94 pages, 593837 bytes). Transcript written on Stochastik1.log. Result: ExitSuccess Running /usr/bin/pdflatex Stochastik1.tex in an env with 4 entries: This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013/Debian) restricted \write18 enabled. entering extended mode (data/Stochastik1.tex LaTeX2e <2011/06/27> Babel <3.9h> and hyphenation patterns for 78 languages loaded. (/usr/share/texlive/texmf-dist/tex/latex/base/book.cls Document Class: book 2007/10/19 v1.4h Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/bk11.clo)) (data/latexki.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty)) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. 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(/usr/share/texlive/texmf-dist/tex/latex/hyperref/hpdftex.def (/usr/share/texlive/texmf-dist/tex/latex/oberdiek/rerunfilecheck.sty)) (/usr/share/texlive/texmf-dist/tex/latex/ntheorem/ntheorem.sty Style `ntheorem', Version 1.33 <2011/08/15> (/usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty)) (/usr/share/texlive/texmf-dist/tex/latex/tools/enumerate.sty) (/usr/share/texlive/texmf-dist/tex/latex/mh/mathtools.sty (/usr/share/texlive/texmf-dist/tex/latex/tools/calc.sty) (/usr/share/texlive/texmf-dist/tex/latex/mh/mhsetup.sty)) (/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty (/usr/share/texlive/texmf-dist/tex/latex/base/utf8.def (/usr/share/texlive/texmf-dist/tex/latex/base/t1enc.dfu) (/usr/share/texlive/texmf-dist/tex/latex/base/ot1enc.dfu) (/usr/share/texlive/texmf-dist/tex/latex/base/omsenc.dfu))) Writing index file Stochastik1.idx (./Stochastik1.aux) (/usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty (/usr/share/texlive/texmf-dist/tex/generic/oberdiek/gettitlestring.sty)) (./Stochastik1.out) (./Stochastik1.out) (/usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty (/usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty) (/usr/share/texlive/texmf-dist/tex/latex/latexconfig/graphics.cfg) (/usr/share/texlive/texmf-dist/tex/latex/pdftex-def/pdftex.def (/usr/share/texlive/texmf-dist/tex/context/base/supp-pdf.mkii [Loading MPS to PDF converter (version 2006.09.02).] ))) (/usr/share/texlive/texmf-dist/tex/latex/oberdiek/epstopdf-base.sty (/usr/share/texlive/texmf-dist/tex/latex/oberdiek/grfext.sty) (/usr/share/texlive/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg))) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsa.fd) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd) Overfull \hbox (12.672pt too wide) in paragraph at lines 102--102 [][] [1{/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}] [2] (./Stochastik1.toc [3]) [4] Kapitel 1. (/usr/share/texlive/texmf-dist/tex/latex/base/omscmr.fd) Underfull \hbox (badness 10000) in paragraph at lines 116--117 Underfull \hbox (badness 10000) in paragraph at lines 127--128 Underfull \hbox (badness 10000) in paragraph at lines 129--136 pdfTeX warning (ext4): destination with the same identifier (name{page.1}) has been already used, duplicate ignored \relax l.138 \end{itemize} [1] (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/ueus.fd) Underfull \hbox (badness 10000) in paragraph at lines 153--154 Underfull \hbox (badness 10000) in paragraph at lines 168--169 Underfull \hbox (badness 10000) in paragraph at lines 177--178 Underfull \hbox (badness 10000) in paragraph at lines 178--179 pdfTeX warning (ext4): destination with the same identifier (name{page.2}) has been already used, duplicate ignored \relax l.180 \end{Def} [2] Underfull \hbox (badness 10000) in paragraph at lines 183--184 Underfull \hbox (badness 10000) in paragraph at lines 194--195 Underfull \hbox (badness 10000) in paragraph at lines 196--197 Underfull \hbox (badness 10000) in paragraph at lines 201--202 pdfTeX warning (ext4): destination with the same identifier (name{page.3}) has been already used, duplicate ignored \relax l.218 [3] Overfull \hbox (2.65424pt too wide) detected at line 247 []\OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 ([] \OML/cmm/m/it/10.95 A[]\OT1/cmr/m /n/10.95 ) = [](\OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 A[ ]\OT1/cmr/m/n/10.95 )) [] \OML/cmm/m/it/10.95 A[] [] A[] pdfTeX warning (ext4): destination with the same identifier (name{page.4}) has been already used, duplicate ignored \relax l.249 ...k=1}^{n}P(A_k)\qquad \forall\, n \in \N\] [4] Overfull \hbox (16.91014pt too wide) detected at line 265 [] Underfull \hbox (badness 10000) in paragraph at lines 269--271 Underfull \hbox (badness 10000) in paragraph at lines 274--275 Underfull \hbox (badness 10000) in paragraph at lines 287--288 [5] Underfull \hbox (badness 10000) in paragraph at lines 289--290 Underfull \hbox (badness 10000) in paragraph at lines 291--292 Underfull \hbox (badness 10000) in paragraph at lines 301--302 Overfull \hbox (18.8697pt too wide) detected at line 302 [] \OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 A[]\OT1/cmr/m/n /10.95 ) = [] 1 \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 A[]\OT1/cmr/m/n/10.95 ) = 1 \OMS/cmsy/m/n/10.95 ^^@ [] \O ML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 A[]\OT1/cmr/m/n/10.9 5 ) [] 1 \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 ([] \O ML/cmm/m/it/10.95 A[]\OT1/cmr/m/n/10.95 ) [] \OML/cmm/m/it/10.95 P\OT1/cmr/m/n/ 10.95 ([] \OML/cmm/m/it/10.95 A[]\OT1/cmr/m/n/10.95 ) Underfull \hbox (badness 10000) in paragraph at lines 305--306 [6] Kapitel 2. Overfull \hbox (4.45535pt too wide) in paragraph at lines 343--344 []\OT1/cmr/m/it/10.95 Die An-zahl der Per-mu-ta-tio-nen von $\OML/cmm/m/it/10.9 5 n$ \OT1/cmr/m/it/10.95 Ob-jek-ten mit je-weils $\OML/cmm/m/it/10.95 n[]; n[]; [] ; n[]$ [7] [8] Package amsmath Warning: Foreign command \atopwithdelims; (amsmath) \frac or \genfrac should be used instead (amsmath) on input line 393. Underfull \vbox (badness 2351) has occurred while \output is active [9] Underfull \hbox (badness 10000) in paragraph at lines 441--443 [10] [11] [12] Kapitel 3. [13] Underfull \hbox (badness 10000) in paragraph at lines 544--546 Package Fancyhdr Warning: \headheight is too small (14.0pt): Make it at least 25.16252pt. We now make it that large for the rest of the document. This may cause the page layout to be inconsistent, however. [14] Underfull \hbox (badness 10000) in paragraph at lines 577--578 Underfull \hbox (badness 10000) in paragraph at lines 585--586 [15] Package Fancyhdr Warning: \headheight is too small (14.0pt): Make it at least 25.16252pt. We now make it that large for the rest of the document. This may cause the page layout to be inconsistent, however. [16] Kapitel 4. Underfull \hbox (badness 10000) in paragraph at lines 606--614 Underfull \hbox (badness 10000) in paragraph at lines 631--635 [17] Underfull \hbox (badness 10000) in paragraph at lines 636--637 Overfull \hbox (12.6686pt too wide) detected at line 637 \OT1/cmr/m/n/10.95 1 [] \OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 ([0\OML/cmm/m/i t/10.95 ; \OT1/cmr/m/n/10.95 1)) [] \OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 ([] (\OML/cmm/m/it/10.95 x \OT1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 A\OT1/cmr/m/n/1 0.95 )) [] [] \OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x \O T1/cmr/m/n/10.95 + \OML/cmm/m/it/10.95 A\OT1/cmr/m/n/10.95 ) [] [] \OML/cmm/m/i t/10.95 P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 A\OT1/cmr/m/n/10.95 ) Underfull \hbox (badness 10000) in paragraph at lines 647--648 (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/ueuf.fd) Underfull \hbox (badness 10000) in paragraph at lines 660--661 [18] Underfull \hbox (badness 10000) in paragraph at lines 698--699 [19] [20] Kapitel 5. Underfull \hbox (badness 10000) in paragraph at lines 733--736 Underfull \hbox (badness 10000) in paragraph at lines 742--745 [21] Underfull \hbox (badness 10000) in paragraph at lines 767--768 Underfull \hbox (badness 10000) in paragraph at lines 775--776 Package Fancyhdr Warning: \headheight is too small (14.0pt): Make it at least 25.16252pt. We now make it that large for the rest of the document. This may cause the page layout to be inconsistent, however. [22] Underfull \hbox (badness 10000) in paragraph at lines 834--835 Underfull \hbox (badness 10000) in paragraph at lines 839--840 Overfull \hbox (46.1865pt too wide) detected at line 840 \OML/cmm/m/it/10.95 P[]\OT1/cmr/m/n/10.95 ([] \OML/cmm/m/it/10.95 B[]\OT1/cmr/m /n/10.95 ) = \OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X[]\O T1/cmr/m/n/10.95 ([] \OML/cmm/m/it/10.95 B[]\OT1/cmr/m/n/10.95 )) = \OML/cmm/m/ it/10.95 P\OT1/cmr/m/n/10.95 ([] \OML/cmm/m/it/10.95 X[]\OT1/cmr/m/n/10.95 (\OM L/cmm/m/it/10.95 B[]\OT1/cmr/m/n/10.95 )) = [] \OML/cmm/m/it/10.95 P\OT1/cmr/m/ n/10.95 (\OML/cmm/m/it/10.95 X[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 B[]\OT1 /cmr/m/n/10.95 )) = [] \OML/cmm/m/it/10.95 P[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it /10.95 B[]\OT1/cmr/m/n/10.95 ) [23] Underfull \hbox (badness 10000) in paragraph at lines 891--892 Underfull \hbox (badness 10000) in paragraph at lines 898--899 Underfull \hbox (badness 10000) in paragraph at lines 913--915 Package Fancyhdr Warning: \headheight is too small (14.0pt): Make it at least 25.16252pt. We now make it that large for the rest of the document. This may cause the page layout to be inconsistent, however. [24] [25] Package Fancyhdr Warning: \headheight is too small (14.0pt): Make it at least 25.16252pt. We now make it that large for the rest of the document. This may cause the page layout to be inconsistent, however. [26] Kapitel 6. Underfull \hbox (badness 10000) in paragraph at lines 930--931 Underfull \hbox (badness 10000) in paragraph at lines 933--934 Underfull \vbox (badness 1072) has occurred while \output is active [27] Underfull \hbox (badness 10000) in paragraph at lines 952--954 Underfull \hbox (badness 10000) in paragraph at lines 954--959 Underfull \hbox (badness 10000) in paragraph at lines 954--959 [28] Underfull \hbox (badness 10000) in paragraph at lines 1007--1008 [29] Underfull \hbox (badness 10000) in paragraph at lines 1052--1053 [30] Overfull \hbox (18.63293pt too wide) detected at line 1078 \OT1/cmr/m/n/10.95 ([][] [](\OMS/cmsy/m/n/10.95 ^^@[]\OML/cmm/m/it/10.95 y[]\OT 1/cmr/m/n/10.95 ) \OML/cmm/m/it/10.95 dy\OT1/cmr/m/n/10.95 )[] = [][] [][] []( \OMS/cmsy/m/n/10.95 ^^@[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x[] \OT1/cmr/m /n/10.95 + \OML/cmm/m/it/10.95 y[]\OT1/cmr/m/n/10.95 )) \OML/cmm/m/it/10.95 dxd y \OT1/cmr/m/n/10.95 = [][] [][] \OML/cmm/m/it/10.95 re[] drd' \OT1/cmr/m/n/10 .95 = [31] [32] Kapitel 7. Overfull \hbox (10.91734pt too wide) in paragraph at lines 1098--1099 []\OT1/cmr/m/it/10.95 F[]ur $\OML/cmm/m/it/10.95 X \OMS/cmsy/m/n/10.95 2 \OML/c mm/m/it/10.95 M[]$ \OT1/cmr/m/it/10.95 sei das In-te-gral von $\OML/cmm/m/it/10 .95 X$ \OT1/cmr/m/it/10.95 bez[]uglich $\OML/cmm/m/it/10.95 P$ \OT1/cmr/m/it/10 .95 de-fi-niert durch $[] \OML/cmm/m/it/10.95 XdP \OT1/cmr/m/n/10.95 := [][] \O ML/cmm/m/it/10.95 []P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 A[]\OT1/cmr/m/n/1 0.95 )$ Overfull \hbox (20.661pt too wide) in paragraph at lines 1108--1109 []\OT1/cmr/m/n/10.95 Jetzt wird der In-te-gral-be-griff er-wei-tert. Sei $\OML/ cmm/m/it/10.95 M[] \OT1/cmr/m/n/10.95 := \OMS/cmsy/m/n/10.95 f\OML/cmm/m/it/10. 95 X \OT1/cmr/m/n/10.95 : \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 > \U/msb/m/n/10.95 R[]\OMS/cmsy/m/n /10.95 j\OML/cmm/m/it/10.95 X[]\OMS/cmsy/m/n/10.95 g$\OT1/cmr/m/n/10.95 . [33] Overfull \hbox (9.17323pt too wide) in paragraph at lines 1122--1123 \OT1/cmr/m/n/10.95 den \OT1/cmr/bx/n/10.95 Er-war-tungs-wert[] \OT1/cmr/m/n/10. 95 von $\OML/cmm/m/it/10.95 X$\OT1/cmr/m/n/10.95 . $\OML/cmm/m/it/10.95 X$ \OT1 /cmr/m/n/10.95 hei^^Yt in-te-grier-bar, falls $[] \OML/cmm/m/it/10.95 X[]dP < \ OMS/cmsy/m/n/10.95 1$ \OT1/cmr/m/n/10.95 und $[] \OML/cmm/m/it/10.95 X[]dP < Underfull \hbox (badness 10000) in paragraph at lines 1135--1136 Overfull \hbox (34.34283pt too wide) in paragraph at lines 1158--1158 \OT1/cmr/m/it/10.95 dich-te $\OMS/cmsy/m/n/10.95 f\OML/cmm/m/it/10.95 P[]\OMS/c msy/m/n/10.95 g[]$\OT1/cmr/m/it/10.95 . $\OML/cmm/m/it/10.95 g \OT1/cmr/m/n/10. 95 : \U/msb/m/n/10.95 R \OMS/cmsy/m/n/10.95 ! \U/msb/m/n/10.95 R$ \OT1/cmr/m/it /10.95 sei mess-bar. Dann exis-tiert $\OML/cmm/m/it/10.95 Eg\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X\OT1/cmr/m/n/10.95 )$\OT1/cmr/m/it/10.95 , falls $[][] \O MS/cmsy/m/n/10.95 j\OML/cmm/m/it/10.95 g\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x[]\OT1/cmr/m/n/10.95 )\OMS/cmsy/m/n/10.95 j\OML/cmm/m/it/10.95 P[]\OT1/cmr/m/ n/10.95 (\OML/cmm/m/it/10.95 k\OT1/cmr/m/n/10.95 ) \OML/cmm/m/it/10.95 < [34] [35] Underfull \hbox (badness 10000) in paragraph at lines 1228--1230 [36] [37] [38] Kapitel 8. Underfull \hbox (badness 10000) in paragraph at lines 1260--1261 [39] Overfull \hbox (7.98679pt too wide) in paragraph at lines 1305--1306 []$\OML/cmm/m/it/10.95 X$ \OT1/cmr/m/it/10.95 hei^^Yt \OT1/cmr/bx/it/10.95 dis- kret\OT1/cmr/m/it/10.95 , falls es ei-ne end-li-che oder abz[]ahl-ba-re Men-ge $\OML/cmm/m/it/10.95 C \OT1/cmr/m/n/10.95 = \OMS/cmsy/m/n/10.95 f\OML/cmm/m/it/ 10.95 x[]; x[]; []\OMS/cmsy/m/n/10.95 g ^^Z Underfull \hbox (badness 10000) in paragraph at lines 1311--1312 Overfull \hbox (5.94658pt too wide) detected at line 1315 \OML/cmm/m/it/10.95 f[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x[]\OT1/cmr/m/n/ 10.95 ) = [] \OML/cmm/m/it/10.95 f[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 y[] ; [] ; y[]; x[]; y[]; [] ; y[]\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 dy[] [] d y[]dy[] [] dy[] Overfull \hbox (15.50621pt too wide) detected at line 1316 [] \OML/cmm/m/it/10.95 F[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x[]\OT1/cmr/m /n/10.95 ) = \OML/cmm/m/it/10.95 P\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X[] \ OMS/cmsy/m/n/10.95 ^^T \OML/cmm/m/it/10.95 x[]\OT1/cmr/m/n/10.95 ) = [] [] = [] [] \OML/cmm/m/it/10.95 f[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 u\OT1/cmr/m/n /10.95 )\OML/cmm/m/it/10.95 du [40] Overfull \hbox (11.40233pt too wide) in paragraph at lines 1323--1324 []\OT1/cmr/m/n/10.95 Ein Ex-pe-ri-ment (z.B. W[]urfeln) hat $\OML/cmm/m/it/10.9 5 r$ \OT1/cmr/m/n/10.95 m[]ogli- Overfull \hbox (10.77557pt too wide) in alignment at lines 1328--1332 [][][] [] Overfull \hbox (20.07787pt too wide) in paragraph at lines 1338--1339 []\OT1/cmr/m/n/10.95 F[]ur $\OML/cmm/m/it/10.95 r \OT1/cmr/m/n/10.95 = 2$ er-ha l-ten wir die Bi-no-mi-al-ver-tei-lung, al-so $\OML/cmm/m/it/10.95 M\OT1/cmr/m/ n/10.95 (\OML/cmm/m/it/10.95 n; \OT1/cmr/m/n/10.95 2\OML/cmm/m/it/10.95 ; p; \O T1/cmr/m/n/10.95 1 \OMS/cmsy/m/n/10.95 ^^@ Underfull \hbox (badness 10000) in paragraph at lines 1358--1360 Underfull \hbox (badness 10000) in paragraph at lines 1360--1362 [41] [42] Kapitel 9. Underfull \hbox (badness 10000) in paragraph at lines 1375--1376 [43] [44] Overfull \hbox (7.66298pt too wide) in paragraph at lines 1455--1457 \OML/cmm/m/it/10.95 '[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X[]; [] ; X[]\OT 1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; '[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10. 95 X[]; [] ; X[]\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 ; [] ; '[]\OT1/cmr/m/n/ 10.95 (\OML/cmm/m/it/10.95 X[]; [] ; X[]\OT1/cmr/m/n/10.95 )$ un-abh[]angig. [45] [46] Overfull \hbox (4.7216pt too wide) detected at line 1571 []\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X\OT1/cmr/m/n/10.95 ) [](\OML/cmm/m/i t/10.95 Y\OT1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 %[]\OT1/cmr/m/n/10.95 (\OML/cm m/m/it/10.95 X; Y\OT1/cmr/m/n/10.95 ) = (\OML/cmm/m/it/10.95 E\OT1/cmr/m/n/10.9 5 [(\OML/cmm/m/it/10.95 X \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 EX\OT1/cm r/m/n/10.95 )(\OML/cmm/m/it/10.95 Y \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 EY\OT1/cmr/m/n/10.95 )])[] \OMS/cmsy/m/n/10.95 ^^T \OML/cmm/m/it/10.95 E\OT1/c mr/m/n/10.95 (\OML/cmm/m/it/10.95 X \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 EX\OT1/cmr/m/n/10.95 )[]\OML/cmm/m/it/10.95 E\OT1/cmr/m/n/10.95 (\OML/cmm/m/it /10.95 Y \OMS/cmsy/m/n/10.95 ^^@ \OML/cmm/m/it/10.95 EY\OT1/cmr/m/n/10.95 )[] [47] Underfull \hbox (badness 10000) in paragraph at lines 1575--1576 [48] Kapitel 10. Underfull \hbox (badness 10000) in paragraph at lines 1627--1628 [49] Underfull \hbox (badness 10000) in paragraph at lines 1656--1665 Underfull \hbox (badness 10000) in paragraph at lines 1688--1693 [50] [51] [52] Kapitel 11. Underfull \hbox (badness 10000) in paragraph at lines 1728--1729 [53] Underfull \hbox (badness 10000) in paragraph at lines 1764--1767 Underfull \hbox (badness 10000) in paragraph at lines 1779--1787 [54] [55] [56] Kapitel 12. Underfull \hbox (badness 10000) in paragraph at lines 1840--1841 Underfull \hbox (badness 10000) in paragraph at lines 1855--1857 Overfull \hbox (29.3357pt too wide) in paragraph at lines 1862--1862 [] [57] Underfull \hbox (badness 10000) in paragraph at lines 1899--1900 [58] [59] [60] Kapitel 13. Underfull \hbox (badness 10000) in paragraph at lines 1954--1958 [61] [62] Underfull \hbox (badness 10000) in paragraph at lines 2038--2059 Underfull \hbox (badness 10000) in paragraph at lines 2038--2059 Underfull \hbox (badness 10000) in paragraph at lines 2038--2059 [63] [64] [65] Overfull \hbox (13.2811pt too wide) detected at line 2137 \OMS/cmsy/m/n/10.95 ) \OML/cmm/m/it/10.95 P [] \OMS/cmsy/m/n/10.95 ^^Y \OT1/cmr /m/n/10.95 ^^H(0\OML/cmm/m/it/10.95 :\OT1/cmr/m/n/10.95 04[]) \OMS/cmsy/m/n/10. 95 ^^@ \OT1/cmr/m/n/10.95 ^^H(\OMS/cmsy/m/n/10.95 ^^@\OT1/cmr/m/n/10.95 0\OML/c mm/m/it/10.95 :\OT1/cmr/m/n/10.95 04[]) = 2^^H(0\OML/cmm/m/it/10.95 :\OT1/cmr/m /n/10.95 04[]) \OMS/cmsy/m/n/10.95 ^^@ \OT1/cmr/m/n/10.95 1 = 0\OML/cmm/m/it/10 .95 :\OT1/cmr/m/n/10.95 95 [66] Kapitel 14. Underfull \hbox (badness 10000) in paragraph at lines 2142--2147 Underfull \hbox (badness 10000) in paragraph at lines 2170--2181 [67] Underfull \hbox (badness 10000) in paragraph at lines 2197--2198 Overfull \hbox (23.92642pt too wide) detected at line 2200 \OML/cmm/m/it/10.95 L[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 ^^R\OT1/cmr/m/n/ 10.95 ) = \OML/cmm/m/it/10.95 p\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x[]\OT1/ cmr/m/n/10.95 ; \OML/cmm/m/it/10.95 ^^R\OT1/cmr/m/n/10.95 ) [] \OML/cmm/m/it/10 .95 p\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x[]\OT1/cmr/m/n/10.95 ; \OML/cmm/m /it/10.95 ^^R\OT1/cmr/m/n/10.95 ) = \OML/cmm/m/it/10.95 P[]\OT1/cmr/m/n/10.95 ( \OML/cmm/m/it/10.95 X[] \OT1/cmr/m/n/10.95 = \OML/cmm/m/it/10.95 x[]\OT1/cmr/m/ n/10.95 ) [] \OML/cmm/m/it/10.95 P[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X[] \OT1/cmr/m/n/10.95 = \OML/cmm/m/it/10.95 x[]\OT1/cmr/m/n/10.95 ) [] \OML/cmm/m /it/10.95 P[]\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 X \OT1/cmr/m/n/10.95 = \OM L/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 ) Underfull \hbox (badness 10000) in paragraph at lines 2211--2214 [68] Overfull \hbox (8.98767pt too wide) in paragraph at lines 2252--2252 []\OT1/cmr/bx/n/14.4 W[]unschens-wer-te Ei-gen-schaf-ten von Punktsch[]atzern Underfull \hbox (badness 10000) in paragraph at lines 2255--2256 [69] Underfull \hbox (badness 10000) in paragraph at lines 2262--2266 Underfull \hbox (badness 10000) in paragraph at lines 2282--2284 [70] Underfull \hbox (badness 10000) in paragraph at lines 2300--2304 Underfull \hbox (badness 10000) in paragraph at lines 2310--2313 Underfull \hbox (badness 10000) in paragraph at lines 2322--2323 [71] [72] Kapitel 15. Underfull \hbox (badness 10000) in paragraph at lines 2356--2357 [73] [74] Kapitel 16. Underfull \hbox (badness 10000) in paragraph at lines 2401--2405 Underfull \hbox (badness 10000) in paragraph at lines 2406--2409 Underfull \hbox (badness 10000) in paragraph at lines 2410--2411 Underfull \hbox (badness 10000) in paragraph at lines 2411--2413 Underfull \hbox (badness 10000) in paragraph at lines 2413--2415 Underfull \hbox (badness 10000) in paragraph at lines 2416--2417 Underfull \hbox (badness 10000) in paragraph at lines 2425--2430 [75] Underfull \hbox (badness 10000) in paragraph at lines 2467--2468 Underfull \hbox (badness 10000) in paragraph at lines 2469--2470 Underfull \hbox (badness 10000) in paragraph at lines 2472--2474 Underfull \hbox (badness 10000) in paragraph at lines 2479--2481 [76] Underfull \hbox (badness 10000) in paragraph at lines 2482--2483 Underfull \hbox (badness 10000) in paragraph at lines 2493--2496 Underfull \hbox (badness 10000) in paragraph at lines 2507--2509 [77] Underfull \hbox (badness 10000) in paragraph at lines 2524--2526 Underfull \hbox (badness 10000) in paragraph at lines 2543--2546 Underfull \hbox (badness 10000) in paragraph at lines 2551--2554 [78] Underfull \hbox (badness 10000) in paragraph at lines 2558--2559 [79] [80] Overfull \hbox (59.13731pt too wide) detected at line 2645 \OML/cmm/m/it/10.95 P[] [] \OMS/cmsy/m/n/10.95 ^^T \OML/cmm/m/it/10.95 P[] [] \ OT1/cmr/m/n/10.95 = 1 \OMS/cmsy/m/n/10.95 ^^@ \OT1/cmr/m/n/10.95 (1 \OMS/cmsy/m /n/10.95 ^^@ \OML/cmm/m/it/10.95 \OT1/cmr/m/n/10.95 ) = \OML/cmm/m/it/10.95 [81] [82] Kapitel 17. [83] Underfull \hbox (badness 10000) in paragraph at lines 2724--2725 [84] [85] Underfull \hbox (badness 10000) in paragraph at lines 2799--2800 [86] Kapitel 18. [87] (./Stochastik1.ind [88] Overfull \hbox (1.13641pt too wide) in paragraph at lines 94--95 []\OT1/cmr/m/n/10.95 Maximum-Likelihood Schat-zer (MLS), []68[] [89] [90]) (./Stochastik1.aux) ) (see the transcript file for additional information) Output written on Stochastik1.pdf (94 pages, 593837 bytes). Transcript written on Stochastik1.log. Result: ExitSuccess Running /usr/bin/convert -verbose Stochastik1.pdf[0] -resize 70x Stochastik1.png in an env with 4 entries: "gs" -q -dQUIET -dSAFER -dBATCH -dNOPAUSE -dNOPROMPT -dMaxBitmap=500000000 -dAlignToPixels=0 -dGridFitTT=2 "-sDEVICE=pngalpha" -dTextAlphaBits=4 -dGraphicsAlphaBits=4 "-r72x72" -dFirstPage=1 -dLastPage=1 "-sOutputFile=/tmp/magick-BqayUUqk-%08d" "-f/tmp/magick-5MCnpcTQ" "-f/tmp/magick-YEKbcAln" /tmp/magick-BqayUUqk-00000001 PNG 595x842 595x842+0+0 8-bit DirectClass 23.3KB 0.010u 0:00.020 Stochastik1.pdf[0]=>Stochastik1.pdf PDF 595x842 595x842+0+0 16-bit DirectClass 23.3KB 0.000u 0:00.000 Stochastik1.pdf[0]=>Stochastik1.png PDF 595x842=>70x99 70x99+0+0 8-bit DirectClass 0.040u 0:00.009 Result: ExitSuccess Running /usr/bin/optipng -verbose Stochastik1.png in an env with 4 entries: OptiPNG 0.6.4: Advanced PNG optimizer. Copyright (C) 2001-2010 Cosmin Truta. ** Processing: Stochastik1.png 70x99 pixels, 2x8 bits/pixel, grayscale+alpha Reducing image to 8 bits/pixel, 51 colors (50 transparent) in palette Input IDAT size = 958 bytes Input file size = 1253 bytes Trying: zc = 9 zm = 8 zs = 0 f = 0 IDAT size = 704 zc = 9 zm = 8 zs = 1 f = 0 IDAT too big zc = 1 zm = 8 zs = 2 f = 0 IDAT too big zc = 9 zm = 8 zs = 3 f = 0 IDAT size = 698 zc = 9 zm = 8 zs = 0 f = 5 IDAT too big zc = 9 zm = 8 zs = 1 f = 5 IDAT too big zc = 1 zm = 8 zs = 2 f = 5 IDAT too big zc = 9 zm = 8 zs = 3 f = 5 IDAT too big Selecting parameters: zc = 9 zm = 8 zs = 3 f = 0 IDAT size = 698 Output IDAT size = 698 bytes (260 bytes decrease) Output file size = 1219 bytes (34 bytes = 2.71% decrease) ** Status report 1 file(s) have been processed. Result: ExitSuccess