From 8d5e8e5744d45fb672ca58b06b7c032edf55e928 Mon Sep 17 00:00:00 2001 From: Jan Benda Date: Thu, 8 Mar 2018 10:51:17 +0100 Subject: [PATCH] [likelihood] fix math error in 9.2 --- likelihood/lecture/likelihood.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/likelihood/lecture/likelihood.tex b/likelihood/lecture/likelihood.tex index 91ba87f..02c4f5e 100644 --- a/likelihood/lecture/likelihood.tex +++ b/likelihood/lecture/likelihood.tex @@ -133,7 +133,7 @@ Log-Likelihood \begin{eqnarray*} \log {\cal L}(\theta|(x_1,y_1,\sigma_1), \ldots, (x_n,y_n,\sigma_n)) & = & \sum_{i=1}^n \log \frac{1}{\sqrt{2\pi \sigma_i^2}}e^{-\frac{(y_i-f(x_i;\theta))^2}{2\sigma_i^2}} \\ - & = & \sum_{i=1}^n - \log \sqrt{2\pi \sigma_i^2} -\frac{(x_i-f(y_i;\theta))^2}{2\sigma_i^2} \\ + & = & \sum_{i=1}^n - \log \sqrt{2\pi \sigma_i^2} -\frac{(y_i-f(x_i;\theta))^2}{2\sigma_i^2} \\ \end{eqnarray*} Der einzige Unterschied zum vorherigen Beispiel ist, dass die Mittelwerte der Normalverteilungen nun durch die Funktionswerte