From 8a66c57a1e013f120c3184ab5db63ca62ebc1d95 Mon Sep 17 00:00:00 2001 From: Janis Hutz Date: Wed, 15 Apr 2026 10:58:05 +0200 Subject: [PATCH] [PS] Start joint distributions --- .../04_joint-distribution/00_discrete.tex | 2 ++ .../04_joint-distribution/01_continuous.tex | 5 +++++ .../probability-and-statistics-cheatsheet.pdf | Bin 365597 -> 366867 bytes .../probability-and-statistics-cheatsheet.tex | 6 ++++++ 4 files changed, 13 insertions(+) create mode 100644 semester4/ps/ps-jh/parts/04_joint-distribution/00_discrete.tex create mode 100644 semester4/ps/ps-jh/parts/04_joint-distribution/01_continuous.tex 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 f0989c0a65ac16a49d66d4251a7b8c466133cf3a..2aa7950023125793849428bb824909a0db702fb4 100644 GIT binary patch delta 47099 zcmV)1K+V6Ms1}p57O+kb0yQv~VJ8I?lVlJqe_eAMH0>|eib42A>D0K*xQa-2w2aYzj@Km%y>cQ@$dd_pH* zKX~%u!RODI;FE$Bn(N7nHxpwtk%~_=<3x(di?hkADLa`lO6l~;7 zfAqzJe>`B&37xPBGlWt*(bN(x<>d78!K^rX-n#DapwUretkBC7eZj_+6i$Ka<6TOJb~H*z-(S zMwBilN&vW$Reira5o|iYSYMxBl#A68e->}LIK6m>Ps_yy2c8H{w3*C!0RVZ3ZdPX} zGoj7&`DVUZTyGZdu;u5^6s!g#g@Qf7xoBcwycxH|7Jj^M=c~mvyvxn>uQ!`ttJiE1 zz6O92!xSumAcgcJUTik+uOEH>`CEMd0^TI2SC^?l1tnDBpn^!L`~oV1L+a_{fA=Ra z@OrVVAmEhiXl>n^F-e5f6(|KIT2E#YHbbU1WAbXo7-HM}dU1N4=&J#Y!h|eA1g`oa z>7M#G8DD#ElvRQ$&ThWL8o#(ChdQ2{#QWB3nVBNqPY z$r^tB{Qdcxe?Ofw0&TD1MNo?6rAmC@8OdQhEw-q^{^gl89b}uX?ph% zH!%1I(9;%H|Hw_y&!?W~_A`E7zY4uvOdhGJ^#ew*y_#`jd!dojr_1uPTy5rfde`N;T%05I z%bZ!DToRFR$C<^`ivQTyGs}qJGCs0^!bZ{H$Z}}I0GRDDs2||bfY+>&K`ZErb3%nO z!JF`^Wx(UMorg~x1gGw`>RE7Ln|22`qbG2PB)=P_-tGa-mcpw~Qx^Czn4^Tqk)eD-*GUcNrzcDkO!LzX#ZN==^u zS9V8=^Ak8+X8L{d*jes6$CKCe*E;BU_&_enp7o!o5a}27Gz9qJiEI95zFb~E>azFd z%^4soXUxfMh4RAAe^W+U@3f|(fZ+!eq_rkUU;Iiu>l+&-3nypzQF&)n(;4;gfFb>E z)Jxpz1>5*ufC+0-7+|d^l%vR`;GAgY0s2d7tb$05c-1s>pj06rm z4QOrx=^Q3xQAkWzAbRDHNM?r>AexltkT11K_K09b9r6(!KEe-Oec)fCkxhq96?0mXA<}pu;CbC63m~>c z0K1t1UDqOBgAhOAv=~wpUawdrX8vmWWoq$2i=Y}gRss5odpU{z4#;rb7OB~5Lam%c ztDD7szz{E|x>^cqY%>aHY0XqAL(`EkR;Y z0|Y`l`N-NENMed|Ya{Iq#Wf{BOmAL=cZ-7QruXp4e^z_jK5PktRl`6Sta@*xK@Y

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