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-rw-r--r--buch/papers/dreieck/images/order.tex52
1 files changed, 39 insertions, 13 deletions
diff --git a/buch/papers/dreieck/images/order.tex b/buch/papers/dreieck/images/order.tex
index 083f014..9a2511c 100644
--- a/buch/papers/dreieck/images/order.tex
+++ b/buch/papers/dreieck/images/order.tex
@@ -13,10 +13,25 @@
\begin{document}
\def\skala{8}
\definecolor{darkgreen}{rgb}{0,0.6,0}
+
+\def\n{10}
+\def\E#1#2{
+ \draw[color=#2]
+ ({\dx*#1/(\n+1)},{-0.1/\skala}) -- ({\dx*#1/(\n+1)},{4.4*\dy});
+ \node[color=#2] at ({\dx*#1/(\n+1)},{3.2*\dy})
+ [rotate=90,above right] {$k=#1$};
+}
+\def\var#1#2{
+ \pgfmathparse{\dx*sqrt(#1*(\n-#1+1)/((\n+1)*(\n+1)*(\n+2)))}
+ \xdef\var{\pgfmathresult}
+ \fill[color=#2,opacity=0.5]
+ ({\dx*#1/(\n+1)-\var},0) rectangle ({\dx*#1/(\n+1)+\var},{4.4*\dy});
+}
+
\input{orderpath.tex}
\begin{tikzpicture}[>=latex,thick,scale=\skala]
-\def\dx{1}
+\def\dx{1.6}
\def\dy{0.5}
\def\pfad#1#2{
@@ -24,7 +39,7 @@
--
#1
--
- ({1+0.1/\skala},0.5);
+ ({1*\dx+0.1/\skala},0.5);
}
\pfad{\orderzero}{darkgreen!20}
@@ -39,11 +54,11 @@
\pfad{\orderten}{darkgreen!20}
\pfad{\orderseven}{darkgreen}
-\draw[->] ({-0.1/\skala},0) -- (1.1,0) coordinate[label={$x$}];
-\draw[->] (0,{-0.1/\skala}) -- (0,0.6) coordinate[label={left:$F(X)$}];
+\draw[->] ({-0.1/\skala},0) -- ({1.03*\dx},0) coordinate[label={$x$}];
+\draw[->] (0,{-0.1/\skala}) -- (0,0.6) coordinate[label={right:$F(X)$}];
\foreach \x in {0,0.2,0.4,0.6,0.8,1}{
- \draw (\x,{-0.1/\skala}) -- (\x,{0.1/\skala});
- \node at (\x,{-0.1/\skala}) [below] {$\x$};
+ \draw ({\x*\dx},{-0.1/\skala}) -- ({\x*\dx},{0.1/\skala});
+ \node at ({\x*\dx},{-0.1/\skala}) [below] {$\x$};
}
\foreach \y in {0.5,1}{
\draw ({-0.1/\skala},{\y*\dy}) -- ({0.1/\skala},{\y*\dy});
@@ -55,17 +70,25 @@
\begin{scope}[yshift=-0.7cm]
\def\dy{0.125}
+\foreach \k in {1,2,3,4,5,6,8,9,10}{
+ \E{\k}{blue!30}
+}
+\def\k{7}
+\var{\k}{orange!40}
+\node[color=blue] at ({\dx*\k/(\n+1)},{4.3*\dy}) [above] {$E(X_{7:n})$};
+
\def\pfad#1#2{
\draw[color=#2,line width=1.4pt] ({-0.1/\skala},0)
--
#1
--
- ({1+0.1/\skala},0.0);
+ ({1*\dx+0.1/\skala},0.0);
}
\begin{scope}
\clip ({-0.1/\skala},{-0.1/\skala})
- rectangle ({1+0.1/\skala},{0.56+0.1/\skala});
+ rectangle ({1*\dx+0.1/\skala},{0.56+0.1/\skala});
+
\pfad{\orderdzero}{red!20}
\pfad{\orderdone}{red!20}
\pfad{\orderdtwo}{red!20}
@@ -76,21 +99,24 @@
\pfad{\orderdeight}{red!20}
\pfad{\orderdnine}{red!20}
\pfad{\orderdten}{red!20}
+\E{\k}{blue}
\pfad{\orderdseven}{red}
+
\end{scope}
-\draw[->] ({-0.1/\skala},0) -- (1.1,0) coordinate[label={$x$}];
-\draw[->] (0,{-0.1/\skala}) -- (0,0.6) coordinate[label={left:$\varphi(X)$}];
+\draw[->] ({-0.1/\skala},0) -- ({1.03*\dx},0) coordinate[label={$x$}];
+\draw[->] (0,{-0.1/\skala}) -- (0,0.6) coordinate[label={right:$\varphi(X)$}];
\foreach \x in {0,0.2,0.4,0.6,0.8,1}{
- \draw (\x,{-0.1/\skala}) -- (\x,{0.1/\skala});
- \node at (\x,{-0.1/\skala}) [below] {$\x$};
+ \draw ({\x*\dx},{-0.1/\skala}) -- ({\x*\dx},{0.1/\skala});
+ \node at ({\x*\dx},{-0.1/\skala}) [below] {$\x$};
}
\foreach \y in {1,2,3,4}{
\draw ({-0.1/\skala},{\y*\dy}) -- ({0.1/\skala},{\y*\dy});
\node at ({-0.1/\skala},{\y*\dy}) [left] {$\y$};
}
-\node[color=red] at (0.67,{2.7*\dy}) [above] {$k=7$};
+\node[color=red] at ({0.67*\dx},{2.7*\dy}) [above] {$k=7$};
+
\end{scope}