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-rw-r--r--3.4.2.lyx3
1 files changed, 2 insertions, 1 deletions
diff --git a/3.4.2.lyx b/3.4.2.lyx
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--- a/3.4.2.lyx
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@@ -448,7 +448,8 @@ so
\begin_inset Formula
\begin{align*}
\text{mean}(G) & =\dot{G}(1)=n(1+H_{N}-H_{n});\\
-\text{var}(G) & =\ddot{G}(1)+\dot{G}(1)-\dot{G}(1)^{2}=\cancel{n(n-1)}\cancel{+2n\dot{F}(1)}+\ddot{F}(1)\cancel{+n}+\dot{F}(1)\cancel{-n^{2}}-\dot{F}(1)^{2}\cancel{-2n\dot{F}(1)}\\
+\text{var}(G) & =\ddot{G}(1)+\dot{G}(1)-\dot{G}(1)^{2}\\
+ & =\cancel{n(n-1)}\cancel{+2n\dot{F}(1)}+\ddot{F}(1)\cancel{+n}+\dot{F}(1)\cancel{-n^{2}}-\dot{F}(1)^{2}\cancel{-2n\dot{F}(1)}\\
& =n(H_{N}-H_{n})-n^{2}(H_{N}^{(2)}-H_{n}^{(2)}),\\
\sigma(G) & =\sqrt{\text{var}(G)}=\sqrt{n(H_{N}-H_{n})-n^{2}(H_{N}^{(2)}-H_{n}^{(2)})}.
\end{align*}