From 1e874e14b023c68fb13e632e7f0b583f2c932593 Mon Sep 17 00:00:00 2001 From: Janis Hutz Date: Wed, 29 Apr 2026 11:22:11 +0200 Subject: [PATCH] [PS] Add statistics basics --- .../ps-jh/parts/06_estimators/00_basics.tex | 8 ++++++++ .../parts/06_estimators/01_estimators.tex | 3 +++ .../probability-and-statistics-cheatsheet.pdf | Bin 392775 -> 397005 bytes .../probability-and-statistics-cheatsheet.tex | 7 +++++++ 4 files changed, 18 insertions(+) create mode 100644 semester4/ps/ps-jh/parts/06_estimators/00_basics.tex create mode 100644 semester4/ps/ps-jh/parts/06_estimators/01_estimators.tex diff --git a/semester4/ps/ps-jh/parts/06_estimators/00_basics.tex b/semester4/ps/ps-jh/parts/06_estimators/00_basics.tex new file mode 100644 index 0000000..8eab541 --- /dev/null +++ b/semester4/ps/ps-jh/parts/06_estimators/00_basics.tex @@ -0,0 +1,8 @@ +\subsection{Statistische Grundlagen} +\shortterm \bi{Stichprobe} Die Gesamtheit der Beobachtungen $x_1, \ldots, x_n$ oder Z.V. $\cX_1, \ldots, \cX_n$. $n$ ist \bi{Stichprobenumfang} +% TODO: Think of more concise def + +\shortdefinition[Parameterraum] Ein Datensatz $x_1, \ldots, x_n$ aus einer Stichprobe $\cX_1, \ldots, \cX_n$ kann durch (evtl. hochdimimensionalem) +\bi{Param.} $\vartheta$ aus \bi{Param.-Raum} $\Theta$ dargestellt werden. +Wir betrachten jeweils \textit{Familie von W-Räumen}, $(\Omega, \cF, \P_\vartheta)_{\vartheta \in \Theta}$.\\ +{\scriptsize Wir haben normalen Grundraum plus W-Mass $\P_\vartheta$} diff --git a/semester4/ps/ps-jh/parts/06_estimators/01_estimators.tex b/semester4/ps/ps-jh/parts/06_estimators/01_estimators.tex new file mode 100644 index 0000000..8e07171 --- /dev/null +++ b/semester4/ps/ps-jh/parts/06_estimators/01_estimators.tex @@ -0,0 +1,3 @@ +\subsection{Schätzer} +\shortdefinition[Schätzer] ist eine Z.V. der Form $T_l = t_l(\cX_1, \ldots, \cX_n)$, mit zu findender Schätzfunktion $t_l : \R^n \rightarrow \R$. +Einsetzen von Daten liefer dann \bi{Schätzwerte}. 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zmje-BFGYOwV#NLTBEI`J;=%iRm?{WkpyWo~41baG{3Z3<;>WN%_>3UhQ} Xa&&ldWo8O9IWaUbH3}sqMNdWw??})J diff --git a/semester4/ps/ps-jh/probability-and-statistics-cheatsheet.tex b/semester4/ps/ps-jh/probability-and-statistics-cheatsheet.tex index 28951a8..38021e2 100644 --- a/semester4/ps/ps-jh/probability-and-statistics-cheatsheet.tex +++ b/semester4/ps/ps-jh/probability-and-statistics-cheatsheet.tex @@ -91,4 +91,11 @@ % \input{parts/05_limit-theorems/} +\newsection +\section{Schätzer} +\input{parts/06_estimators/00_basics.tex} +\input{parts/06_estimators/01_estimators.tex} +% \input{parts/06_estimators/} + + \end{document}