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| author | Patrik Müller <36931350+p1mueller@users.noreply.github.com> | 2022-05-31 16:31:34 +0200 |
|---|---|---|
| committer | GitHub <noreply@github.com> | 2022-05-31 16:31:34 +0200 |
| commit | 37d938d0d5803ef65de1cb3e780781e140002698 (patch) | |
| tree | 14ed570000f0870be8a13261a81dcc0228e1c62e /vorlesungen/slides/dreieck/stichprobe.tex | |
| parent | Add rule of thumb, analyse integrand, correct mistake in integration SLP<->LP (diff) | |
| parent | fix participant lists (diff) | |
| download | SeminarSpezielleFunktionen-37d938d0d5803ef65de1cb3e780781e140002698.tar.gz SeminarSpezielleFunktionen-37d938d0d5803ef65de1cb3e780781e140002698.zip | |
Merge branch 'AndreasFMueller:master' into master
Diffstat (limited to 'vorlesungen/slides/dreieck/stichprobe.tex')
| -rw-r--r-- | vorlesungen/slides/dreieck/stichprobe.tex | 20 |
1 files changed, 12 insertions, 8 deletions
diff --git a/vorlesungen/slides/dreieck/stichprobe.tex b/vorlesungen/slides/dreieck/stichprobe.tex index da3a20e..4b2eff0 100644 --- a/vorlesungen/slides/dreieck/stichprobe.tex +++ b/vorlesungen/slides/dreieck/stichprobe.tex @@ -12,21 +12,22 @@ \begin{columns}[t,onlytextwidth] \begin{column}{0.48\textwidth} \begin{block}{Zufallsvariable} -Gegeben eine Zufallsvariable $X$ mit +Gegeben eine Zufallsvariable $X$ \uncover<5->{mit Verteilungsfunktion \[ F_X(x) = P(X\le x) -\] -und +\]} +\uncover<6->{und Wahrscheinlichkeitsdichte \[ \varphi_X(x) = \frac{d}{dx} F_X(x) -\] +\]} \end{block} +\uncover<7->{% \begin{block}{Gleichverteilung} \[ F(x) = \begin{cases} @@ -34,6 +35,7 @@ F(x) = \begin{cases} x&\qquad 0\le x \le 1\\ 1&\qquad 1<x \end{cases} +\uncover<8->{ \qquad\Rightarrow\qquad \varphi(x) = @@ -41,19 +43,21 @@ x&\qquad 0\le x \le 1\\ 1&\qquad 0\le x \le 1\\ 0&\qquad\text{sonst}. \end{cases} +} \] -\end{block} +\end{block}} \end{column} \begin{column}{0.48\textwidth} +\uncover<2->{% \begin{block}{Stichprobe} $n$ Zufallsvariablen $X_1,\dots,X_n$ \begin{itemize} -\item +\item<3-> alle $X_i$ haben die gleiche Verteilung wie $X$ -\item +\item<4-> die $X_i$ sind unabhängig \end{itemize} -\end{block} +\end{block}} \end{column} \end{columns} \end{frame} |