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eth-summaries/semester4/ps/ps-jh/parts/04_joint-distribution/01_continuous.tex
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\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:
\[
\P[\cX_1 \! \leq \! a_1, \ldots, \cX_n \! \leq \! a_n]\! = \! \int_{-\8}^{a_1}\! \ldots \! \int_{-\8}^{a_n} \! f(x_1, \ldots) \dx x_n \ldots \mbox{d} x_1
\]