From c49717a11a534d1621f819c7a114924047046a04 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Andreas=20M=C3=BCller?= Date: Mon, 30 May 2022 11:38:12 +0200 Subject: new slides --- buch/chapters/040-rekursion/betaverteilung.tex | 2 +- buch/chapters/040-rekursion/images/order.pdf | Bin 32692 -> 32688 bytes buch/chapters/040-rekursion/images/order.tex | 2 +- 3 files changed, 2 insertions(+), 2 deletions(-) (limited to 'buch/chapters/040-rekursion') diff --git a/buch/chapters/040-rekursion/betaverteilung.tex b/buch/chapters/040-rekursion/betaverteilung.tex index 979d04c..77715ca 100644 --- a/buch/chapters/040-rekursion/betaverteilung.tex +++ b/buch/chapters/040-rekursion/betaverteilung.tex @@ -280,7 +280,7 @@ folgt jetzt \begin{align*} \varphi_{X_{k:n}}(x) &= -\varphi_X(x)k\binom{n}{k} F_X(x)^{k-1}(1-F_X(x))^{n-k}(x). +\varphi_X(x)k\binom{n}{k} F_X(x)^{k-1}(1-F_X(x))^{n-k}. \intertext{Im Speziellen für gleichverteilte Zufallsvariablen $X_i$ ist } \varphi_{X_{k:n}}(x) diff --git a/buch/chapters/040-rekursion/images/order.pdf b/buch/chapters/040-rekursion/images/order.pdf index cc175a9..88b2b08 100644 Binary files a/buch/chapters/040-rekursion/images/order.pdf and b/buch/chapters/040-rekursion/images/order.pdf differ diff --git a/buch/chapters/040-rekursion/images/order.tex b/buch/chapters/040-rekursion/images/order.tex index 9a2511c..0284735 100644 --- a/buch/chapters/040-rekursion/images/order.tex +++ b/buch/chapters/040-rekursion/images/order.tex @@ -65,7 +65,7 @@ \node at ({-0.1/\skala},{\y*\dy}) [left] {$\y$}; } -\node[color=darkgreen] at (0.65,{0.5*\dy}) [above,rotate=55] {$k=7$}; +\node[color=darkgreen] at ({0.64*\dx},{0.56*\dy}) [rotate=42] {$k=7$}; \begin{scope}[yshift=-0.7cm] \def\dy{0.125} -- cgit v1.2.1