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(/usr/local/texlive/2011/texmf-dist/tex/latex/base/ulasy.fd File: ulasy.fd 1998/08/17 v2.2e LaTeX symbol font definitions ) LaTeX Font Info: Try loading font information for OMS+ptm on input line 80. (/usr/local/texlive/2011/texmf-dist/tex/latex/psnfss/omsptm.fd File: omsptm.fd ) LaTeX Font Info: Font shape `OMS/ptm/m/n' in size <10.95> not available (Font) Font shape `OMS/cmsy/m/n' tried instead on input line 80. [1 {/usr/local/texlive/2011/texmf-var/fonts/map/pdftex/updmap/pdftex.map}] (./NotationConventions.tex [2 ] LaTeX Font Info: Font shape `OT1/ptm/bx/n' in size <24.88> not available (Font) Font shape `OT1/ptm/b/n' tried instead on input line 3. LaTeX Font Info: Font shape `U/lasy/b/n' in size <8> not available (Font) Font shape `U/lasy/m/n' tried instead on input line 17. LaTeX Font Info: Font shape `U/lasy/b/n' in size <6> not available (Font) Font shape `U/lasy/m/n' tried instead on input line 17. ) [3] [4] [5 ] [6] (./DETECTION_1.tex Chapter 1. LaTeX Font Info: Font shape `OT1/ptm/bx/n' in size <17.28> not available (Font) Font shape `OT1/ptm/b/n' tried instead on input line 12. LaTeX Font Info: Font shape `OT1/ptm/bx/n' in size <12> not available (Font) Font shape `OT1/ptm/b/n' tried instead on input line 17. [7 ] [8] [9] [10] [11] [12] [13] Underfull \hbox (badness 10000) in paragraph at lines 523--528 [] [14] [15] Overfull \hbox (5.819pt too wide) in alignment at lines 654--669 [][][] [] [] [16] [17] Overfull \hbox (12.81337pt too wide) in paragraph at lines 783--790 \OT1/ptm/m/n/12 by Bayes' The-o-rem. For each $\OML/cmm/m/it/12 h \OT1/cmr/m/n/ 12 = 0\OML/cmm/m/it/12 ; \OT1/cmr/m/n/12 1$\OT1/ptm/m/n/12 , the con-di-tional prob-a-bil-ity $\U/msb/m/n/12 P []$ [] [18] [19] [20] [21] [22] [23] [24] [25] Overfull \hbox (2.52362pt too wide) in alignment at lines 1355--1371 [][][] [] [] [26] [27] [28] [29] [30] Underfull \hbox (badness 10000) in paragraph at lines 1832--1835 [] [31] Overfull \hbox (20.15521pt too wide) in alignment at lines 1872--1903 [][][] [] [] [32] [33] [34] Underfull \hbox (badness 10000) in paragraph at lines 2120--2121 [] [35] [36] Underfull \hbox (badness 10000) in paragraph at lines 2267--2273 [] [37] [38] [39] [40] [41] [42] [43] [44] [45] [46] Underfull \hbox (badness 10000) in paragraph at lines 2956--2959 [] Overfull \hbox (1.52515pt too wide) in alignment at lines 3010--3026 [][][] [] [] [47] [48] Underfull \hbox (badness 10000) in paragraph at lines 3086--3088 [] Overfull \hbox (0.39212pt too wide) in paragraph at lines 3094--3097 \OT1/ptm/b/n/12 The Gaus-sian case[] \OT1/ptm/m/n/12 Con-sider again the sit-u -a-tion dis-cussed in Sec-tion 1.10[] where [] [49] [50] [51] [52] [53] [54] Underfull \hbox (badness 10000) in paragraph at lines 3428--3436 [] [55] [56] [57] [58] [59] Underfull \hbox (badness 10000) in paragraph at lines 3778--3780 [] ) (./DETECTION_2.tex [60] Chapter 2. [61 ] Overfull \hbox (1.16333pt too wide) in paragraph at lines 58--61 \OT1/ptm/m/n/12 The prob-a-bil-ity dis-tri-bu-tion of the rv $\OML/cmm/m/it/12 H$ \OT1/ptm/m/n/12 is spec-i-fied by the pmf $[] \OT1/cmr/m/n/12 = (\OML/cmm/m/ it/12 p[]; [] ; p[]\OT1/cmr/m/n/12 )$ [] [62] [63] [64] [65] [66] Overfull \hbox (64.43245pt too wide) in paragraph at lines 470--478 \OT1/ptm/m/n/12 We made use of the fact that the two col-lec-tions $\OML/cmm/m/ it/12 C[]\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 d\OT1/cmr/m/n/12 )\OML/cmm/m/it/12 ; [] ; C[]\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 d\OT1/cmr/m/n/12 )$ \OT1/ptm/m/n/12 and $\OML/cmm/m/it/12 C[]\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 d[]\OT1/cmr/m/n/12 ) \OML/cmm/m/it/12 ; [] ; C[]\OT1/cmr/m/n/12 (\OML/cmm/m/it/12 d[]\OT1/cmr/m/n/12 )$ [] [67] Underfull \hbox (badness 10000) in paragraph at lines 499--502 [] [68] Overfull \hbox (31.43776pt too wide) in paragraph at lines 616--621 \OT1/ptm/m/n/12 where $[][]\OML/cmm/m/it/12 ; [] ; [][]$ \OT1/ptm/m/n/12 are el -e-ments in $\U/msb/m/n/12 R[]$\OT1/ptm/m/n/12 , and the $\OML/cmm/m/it/12 k \O MS/cmsy/m/n/12 ^^B \OML/cmm/m/it/12 k$ \OT1/ptm/m/it/12 sym-met-ric \OT1/ptm/m/ n/12 ma-tri-ces $[][]\OML/cmm/m/it/12 ; [] ; [][]$ [] Overfull \hbox (10.41187pt too wide) in paragraph at lines 616--621 \OT1/ptm/m/n/12 are \OT1/ptm/m/it/12 pos-i-tive def-i-nite \OT1/ptm/m/n/12 (thu s \OT1/ptm/m/it/12 in-vert-ible\OT1/ptm/m/n/12 ). Con-di-tion \OT1/ptm/b/n/12 ( A.3) \OT1/ptm/m/n/12 holds with re-spect to Lebesgue [] [69] [70]) (./DETECTION_3.tex [71] [72 ] Chapter 3. Overfull \hbox (1.04889pt too wide) in paragraph at lines 36--40 \OT1/ptm/m/n/12 Thus, the al-ter-na-tive hy-poth-e-sis can be viewed as a \OT1/ ptm/m/it/12 com-pos-ite \OT1/ptm/m/n/12 hy-poth-e-sis $\OMS/cmsy/m/n/12 f\OML/c mm/m/it/12 H[]; ^^R \OMS/cmsy/m/n/12 2 [] [73] LaTeX Warning: Reference `chap:' on page 74 undefined on input line 103. [74] [75] [76] [77] [78] Underfull \hbox (badness 10000) in paragraph at lines 452--453 [] [79] [80] [81] [82] Underfull \hbox (badness 10000) in paragraph at lines 705--708 [] ./DETECTION_3.tex:711: Missing { inserted. ^ l.711 There exists $\theta_^ \star$ in $\Theta_0$ with ? ./DETECTION_3.tex:711: Missing } inserted. } l.711 There exists $\theta_^\star$ in $\Theta_0$ with ? ) [83] [84 ] [85] [86] [87 ] [88] (./Appendix_Analysis.tex Chapter 4. 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