[PS] Fix Log LH func of poisson dist

2026-09-11 01:25:24 +02:00 · 2026-08-19 11:18:59 +02:00
parent 7ca8453e80
commit c2caa431d8
2 changed files with 1 additions and 1 deletions
@@ -67,7 +67,7 @@ $p_\cX(x; \vartheta) = \P_\vartheta[\cX = x] = \vartheta^x (1 - \vartheta)^{1 -

 \highlight{Poisson} dabei $\vartheta = \lambda$ und \bi{Log LH-Func}
 \[
-    l(\vartheta) = -n \vartheta \lambda + \log(\lambda) \sum_{i = 1}^{n} x_i - \sum_{i = 1}^{n} \log(x_i!)
+    l(\vartheta) = -n \vartheta + \log(\vartheta) \sum_{i = 1}^{n} x_i - \sum_{i = 1}^{n} \log(x_i!)
 \]
 \bi{ML-Schätzer} ist $T = \frac{1}{n} \sum_{i = 1}^{n} X_i$