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fix small typo in 2c

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christian
2021-01-27 19:21:27 +01:00
parent c2199ca054
commit cb029ae8d2
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@@ -136,7 +136,7 @@
&\stackrel{Y \indep V_p}{=} (1-p) \cdot \left(\int_\R y \mathbbm{f}^Y(y) \d{y}\right)^2 - p\cdot \left(\int_\R y^2 \mathbbm{f}^Y(y) \d{y}\right)^2\\ &\stackrel{Y \indep V_p}{=} (1-p) \cdot \left(\int_\R y \mathbbm{f}^Y(y) \d{y}\right)^2 - p\cdot \left(\int_\R y^2 \mathbbm{f}^Y(y) \d{y}\right)^2\\
&= (1 - 2p) \left(\int_\R y \mathbbm{f}^Y(y) \d{y}\right)^2 &= (1 - 2p) \left(\int_\R y \mathbbm{f}^Y(y) \d{y}\right)^2
\end{salign*} \end{salign*}
Für $p = 0$ erhalten wir daher Für $p = \frac{1}{2}$ erhalten wir daher
\begin{align*} \begin{align*}
\cov(Y, Z_p) = \E(YZ_p) - \E(Y)\E(Z_p) = 0 - 0 = 0. \cov(Y, Z_p) = \E(YZ_p) - \E(Y)\E(Z_p) = 0 - 0 = 0.
\end{align*} \end{align*}