183 lines
11 KiB
TeX
183 lines
11 KiB
TeX
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\relax
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\providecommand\hyper@newdestlabel[2]{}
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\citation{lugannani1980saddle}
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\citation{butler2007saddlepoint}
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\@writefile{toc}{\contentsline {chapter}{\chapternumberline {3}Approximation de la densit\IeC {\'e} et de la fonction de r\IeC {\'e}partition}{39}{chapter.3}}
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\@writefile{toc}{\contentsline {section}{\numberline {3.1}L'approximation de Laplace}{39}{section.3.1}}
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\newlabel{sec:appr-de-lapl}{{3.1}{39}{L'approximation de Laplace}{section.3.1}{}}
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\newlabel{eq:approxlaplace1}{{3.1.1}{40}{L'approximation de Laplace}{equation.3.1.0.1}{}}
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\citation{daniels1954saddlepoint}
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\@writefile{toc}{\contentsline {section}{\numberline {3.2}L'approximation de Temme}{41}{section.3.2}}
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\newlabel{sec:lappr-de-temme}{{3.2}{41}{L'approximation de Temme}{section.3.2}{}}
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\@writefile{lof}{\contentsline {figure}{\numberline {3.2}{\ignorespaces Distribution normale tronqu\IeC {\'e}e \IeC {\`a} $w_0$\relax }}{41}{figure.caption.24}}
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\newlabel{eq:temmeintegrale}{{3.2.2}{41}{L'approximation de Temme}{equation.3.2.0.2}{}}
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\@writefile{toc}{\contentsline {section}{\numberline {3.3}La m\IeC {\'e}thode du point de selle}{42}{section.3.3}}
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\newlabel{sec:pointcolGAL}{{3.3}{42}{La méthode du point de selle}{section.3.3}{}}
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\@writefile{toc}{\contentsline {subsection}{\numberline {3.3.1}Approximation de la densit\IeC {\'e}}{42}{subsection.3.3.1}}
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\newlabel{sec:appr-de-prem}{{3.3.1}{42}{Approximation de la densité}{subsection.3.3.1}{}}
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\newlabel{sec:appr-de-prem@cref}{{[subsection][1][3,3]3.3.1}{42}}
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\newlabel{eq:FGMdefinitionsaddle}{{3.3.1}{42}{Approximation de la densité}{equation.3.3.0.1}{}}
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\newlabel{eq:FGMdefinitionsaddle@cref}{{[equation][1][3,3]3.3.1}{42}}
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\newlabel{eq:FGMdaniels}{{3.3.2}{42}{Approximation de la densité}{equation.3.3.0.2}{}}
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\newlabel{eq:FGMdaniels@cref}{{[equation][2][3,3]3.3.2}{42}}
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\newlabel{eq:laplacesaddle1}{{3.3.4}{42}{Approximation de la densité}{equation.3.3.0.4}{}}
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\newlabel{eq:laplacesaddle1@cref}{{[equation][4][3,3]3.3.4}{42}}
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\newlabel{eq:premierordresaddle}{{3.3.5}{42}{Approximation de la densité}{equation.3.3.0.5}{}}
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\newlabel{eq:premierordresaddle@cref}{{[equation][5][3,3]3.3.5}{42}}
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\newlabel{eq:secondordresaddle}{{3.3.6}{43}{Approximation de la densité}{equation.3.3.0.6}{}}
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\newlabel{eq:secondordresaddle@cref}{{[equation][6][3,3]3.3.6}{43}}
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\newlabel{eq:lnfysaddlelaplace}{{3.3.7}{43}{Approximation de la densité}{equation.3.3.0.7}{}}
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\newlabel{eq:lnfysaddlelaplace@cref}{{[equation][7][3,3]3.3.7}{43}}
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\newlabel{eq:premierodreapprox}{{3.3.9}{43}{Approximation de la densité}{equation.3.3.0.9}{}}
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\newlabel{eq:premierodreapprox@cref}{{[equation][9][3,3]3.3.9}{43}}
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\newlabel{eq:saddlepoint}{{3.3.10}{43}{Approximation de la densité}{equation.3.3.0.10}{}}
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\newlabel{eq:saddlepoint@cref}{{[equation][10][3,3]3.3.10}{43}}
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\newlabel{eq:deriveesecondesaddlepoint}{{3.3.11}{43}{Approximation de la densité}{equation.3.3.0.11}{}}
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\newlabel{eq:deriveesecondesaddlepoint@cref}{{[equation][11][3,3]3.3.11}{43}}
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\newlabel{eq:approximationsaddlepointordre1}{{3.3.12}{43}{Approximation de la densité}{equation.3.3.0.12}{}}
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\newlabel{eq:approximationsaddlepointordre1@cref}{{[equation][12][3,3]3.3.12}{43}}
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\citation{daniels1954saddlepoint}
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\newlabel{eq:normalisationsaddle}{{3.3.13}{44}{Approximation de la densité}{equation.3.3.0.13.13}{}}
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\newlabel{eq:normalisationsaddle@cref}{{[equation][13][3,3]3.3.13}{44}}
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\newlabel{eq:normalisationsaddle1}{{3.3.13a}{44}{Approximation de la densité}{equation.3.3.0.13a}{}}
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\newlabel{eq:normalisationsaddle1@cref}{{[equation][1][3,3,13]3.3.13a}{44}}
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\newlabel{eq:normalisationsaddle2}{{3.3.13b}{44}{Approximation de la densité}{equation.3.3.0.13b}{}}
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\newlabel{eq:normalisationsaddle2@cref}{{[equation][2][3,3,13]3.3.13b}{44}}
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\@writefile{toc}{\contentsline {subsection}{\numberline {3.3.2}Unicit\IeC {\'e} du point de selle}{44}{subsection.3.3.2}}
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\newlabel{sec:unicite-du-point}{{3.3.2}{44}{Unicité du point de selle}{subsection.3.3.2}{}}
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\newlabel{eq:limitesderiveeK}{{3.3.14}{44}{Unicité du point de selle}{equation.3.3.0.14}{}}
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\@writefile{toc}{\contentsline {subsection}{\numberline {3.3.3}Approximation de la fonction de r\IeC {\'e}partition}{44}{subsection.3.3.3}}
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\newlabel{sec:appr-de-prem-1}{{3.3.3}{44}{Approximation de la fonction de répartition}{subsection.3.3.3}{}}
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\newlabel{sec:appr-de-prem-1@cref}{{[subsection][3][3,3]3.3.3}{44}}
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\newlabel{eq:chengementytow}{{3.3.17}{45}{Approximation de la fonction de répartition}{equation.3.3.0.17}{}}
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\newlabel{eq:chengementytow@cref}{{[equation][17][3,3]3.3.17}{45}}
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\newlabel{eq:derivchengementytow@cref}{{[equation][18][3,3]3.3.18}{45}}
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\newlabel{eq:approxintegraleREPordre1}{{3.3.19}{45}{Approximation de la fonction de répartition}{equation.3.3.0.19}{}}
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\newlabel{eq:approxintegraleREPordre1@cref}{{[equation][19][3,3]3.3.19}{45}}
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\newlabel{eq:approximationsaddlepointREPordre1}{{3.3.20}{45}{Approximation de la fonction de répartition}{equation.3.3.0.20}{}}
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\newlabel{eq:wuysaddlerepart2}{{3.3.21}{45}{Approximation de la fonction de répartition}{equation.3.3.0.21.21}{}}
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\newlabel{eq:wuysaddlerepart2@cref}{{[equation][21][3,3]3.3.21}{45}}
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\newlabel{eq:wysaddlerepart2}{{3.3.21a}{45}{Approximation de la fonction de répartition}{equation.3.3.0.21a}{}}
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\newlabel{eq:uysaddlerepart2}{{3.3.21b}{45}{Approximation de la fonction de répartition}{equation.3.3.0.21b}{}}
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