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authorenezerdem <105669082+enezerdem@users.noreply.github.com>2022-06-01 14:34:01 +0200
committerGitHub <noreply@github.com>2022-06-01 14:34:01 +0200
commit50030d5cc2bb12208ad64dd4f4730d2d71edf3a3 (patch)
treeaeffdfd06e1eec43070a58cee09b7e436792ee28 /vorlesungen/slides/dreieck/stichprobe.tex
parentMerge pull request #7 from AndreasFMueller/master (diff)
parentfix participant lists (diff)
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Merge pull request #8 from AndreasFMueller/master
synch
Diffstat (limited to '')
-rw-r--r--vorlesungen/slides/dreieck/stichprobe.tex20
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}