diff --git a/semester4/ps/ps-jh/parts/04_joint-distribution/00_discrete.tex b/semester4/ps/ps-jh/parts/04_joint-distribution/00_discrete.tex new file mode 100644 index 0000000..af1610a --- /dev/null +++ b/semester4/ps/ps-jh/parts/04_joint-distribution/00_discrete.tex @@ -0,0 +1,2 @@ +\subsection{Gemeinsame Diskrete Verteilung} +\shortdefinition $\cX_i$ haben gemeinsame diff --git a/semester4/ps/ps-jh/parts/04_joint-distribution/01_continuous.tex b/semester4/ps/ps-jh/parts/04_joint-distribution/01_continuous.tex new file mode 100644 index 0000000..c79b52b --- /dev/null +++ b/semester4/ps/ps-jh/parts/04_joint-distribution/01_continuous.tex @@ -0,0 +1,5 @@ +\subsection{Gemeinsame Stetige Verteilung} +\shortdefinition $\cX_i$ haben gemeinsame stetige Dichte wenn Abbildung $f : \R^n \rightarrow \R_+$ existert, so dass $\forall a_i \in \R$ gilt: +\[ + \P[\cX_1 \! \leq \! a_1, \ldots, \cX_n \! \leq \! a_n]\! = \! \int_{-\8}^{a_1}\! \ldots \! \int_{-\8}^{a_n} \! f(x_1, \ldots) \dx x_n \ldots \mbox{d} x_1 +\] diff --git a/semester4/ps/ps-jh/probability-and-statistics-cheatsheet.pdf b/semester4/ps/ps-jh/probability-and-statistics-cheatsheet.pdf index f0989c0..2aa7950 100644 Binary files a/semester4/ps/ps-jh/probability-and-statistics-cheatsheet.pdf and b/semester4/ps/ps-jh/probability-and-statistics-cheatsheet.pdf differ diff --git a/semester4/ps/ps-jh/probability-and-statistics-cheatsheet.tex b/semester4/ps/ps-jh/probability-and-statistics-cheatsheet.tex index 7e08a8e..da19b49 100644 --- a/semester4/ps/ps-jh/probability-and-statistics-cheatsheet.tex +++ b/semester4/ps/ps-jh/probability-and-statistics-cheatsheet.tex @@ -74,5 +74,11 @@ \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}