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[PS] Small remark

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janishutz
2026-07-13 16:00:38 +02:00
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semester4/ps/ps-jh/parts/05_limit-theorems/03_central-limit-theorem.tex
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@@ -8,7 +8,7 @@ $(\cX_n)_{n \in \N}$ \bi{konvergiert in V.} gegen $\cX$
\] \]
\shorttheorem[Zentraler Grenzwertsatz (\textbf{ZGS})]\\ \shorttheorem[Zentraler Grenzwertsatz (\textbf{ZGS})]\\
{\scriptsize i.i.d = independent and identically distributed (u.i.v in DE, see \ref{sec:rv-indep})} {\scriptsize i.i.d = u.i.v in DE, siehe \ref{sec:rv-indep}, $\cX_k$ unten kann jegliche Verteilung sein}
$\cX_k$ i.i.d mit $\E[\cX_k] = \mu$, $\V[\cX_k] = \sigma^2$. Für Partialsummen $S_n = \sum_{k = 1}^{n} \cX_k$ gilt $\forall x \in \R$ (mit $\Phi$ V.F. von Std.-Norm.-V): $\cX_k$ i.i.d mit $\E[\cX_k] = \mu$, $\V[\cX_k] = \sigma^2$. Für Partialsummen $S_n = \sum_{k = 1}^{n} \cX_k$ gilt $\forall x \in \R$ (mit $\Phi$ V.F. von Std.-Norm.-V):
\[ \[
semester4/ps/ps-jh/probability-and-statistics-cheatsheet.pdf
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