\documentclass{article} \PassOptionsToPackage{skip=0pt}{parskip} \input{~/projects/latex/janishutz-helpers.tex} \usepackage{bm} \usepackage{lmodern} \setFontType{sans} \setupCheatSheet{Wahrscheinlichkeit und Statistik} \loadGerman \setnumberingpreset{off} \renewcommand{\definitionShortNamingDE}{Def} \renewcommand{\propositionShortNamingDE}{Prop} \renewcommand{\remarkShortNamingDE}{Bem} \setsubsectionnumbering{section} \renewcommand{\examplenumbering}{off} \newcommand{\cov}{\text{cov}} \renewcommand{\vec}[1]{\bm{#1}} \begin{document} \startDocument \noverticalspacing % TODO: Short combinatorics summary % TODO: Most important sequences transforms % TODO: Logarithms (maybe including table), trick with -\ln(...) using \ln(1) - \ln(...) % TODO: Basic analysis stuff (some common integrals, fundamental theorem) \section{Basics} \input{parts/00_basics/00_probability-space.tex} \input{parts/00_basics/01_examples-probability-spaces.tex} \input{parts/00_basics/02_properties-of-events.tex} \input{parts/00_basics/03_properties-of-measures.tex} \input{parts/00_basics/04_conditional-probability.tex} \input{parts/00_basics/05_independence.tex} \newsection \section{Zufallsvar., Verteilungsfunktionen} \input{parts/01_random-variables/00_definition.tex} \input{parts/01_random-variables/01_distribution-function.tex} \input{parts/01_random-variables/02_independence.tex} \input{parts/01_random-variables/03_transformations.tex} \input{parts/01_random-variables/04_construction.tex} \newsectionNoPB \section{Diskrete und stetige ZV} \input{parts/02_discrete-continuous-rv/00_continuity-of-pdf.tex} \input{parts/02_discrete-continuous-rv/01_almost-certain-events.tex} \input{parts/02_discrete-continuous-rv/02_discrete-rv.tex} \input{parts/02_discrete-continuous-rv/03_distributions/00_bin.tex} \input{parts/02_discrete-continuous-rv/03_distributions/01_geom.tex} \input{parts/02_discrete-continuous-rv/03_distributions/02_negbin.tex} \input{parts/02_discrete-continuous-rv/03_distributions/03_hyp-geom.tex} \input{parts/02_discrete-continuous-rv/03_distributions/04_poisson.tex} \input{parts/02_discrete-continuous-rv/04_cont-dist.tex} \input{parts/02_discrete-continuous-rv/05_cont-distributions/00_eq.tex} \input{parts/02_discrete-continuous-rv/05_cont-distributions/01_exp.tex} \input{parts/02_discrete-continuous-rv/05_cont-distributions/02_cauchy.tex} \input{parts/02_discrete-continuous-rv/05_cont-distributions/03_normal.tex} % \input{parts/02_discrete-continuous-rv/} \newsectionNoPB \section{Erwartungswert} \input{parts/03_expected-value/00_intro.tex} \input{parts/03_expected-value/01_disc.tex} \input{parts/03_expected-value/02_cont.tex} \input{parts/03_expected-value/03_properties.tex} \input{parts/03_expected-value/04_inequalities.tex} \input{parts/03_expected-value/05_variance.tex} \input{parts/03_expected-value/06_covariance.tex} % \input{parts/03_expected-value/} \newsectionNoPB \section{Gemeinsame Verteilungen} \input{parts/04_joint-distribution/00_discrete.tex} \input{parts/04_joint-distribution/01_continuous.tex} % \input{parts/04_joint-distribution/} \end{document}