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LaTeX-examples/tikz/normal-distribution-cumulative-density-function-many/normal-distribution-cumulative-density-function-many.tex
Martin Thoma 7740f0147f Remove trailing spaces
The commands

find . -type f -name '*.md' -exec sed --in-place 's/[[:space:]]\+$//' {} \+

and

find . -type f -name '*.tex' -exec sed --in-place 's/[[:space:]]\+$//' {} \+

were used to do so.
2015-10-14 14:25:34 +02:00

70 lines
2.5 KiB
TeX

\documentclass[varwidth=true, border=4pt]{article}
\usepackage[active,tightpage]{preview}
\usepackage[latin1]{inputenc}
\usepackage{amsmath}
\usepackage{pgfplots}
\usepackage{helvet}
\usepackage[eulergreek]{sansmath}
\def\cdf(#1)(#2)(#3){0.5*(1+(erf((#1-#2)/(sqrt(#3*2)))))}%
% to be used: \cdf(x)(mean)(variance)
\DeclareMathOperator{\CDF}{cdf}
\pgfplotsset{
tick label style = {font=\sansmath\sffamily},
every axis label/.append style={font=\sffamily\footnotesize},
}
\begin{document}
\begin{preview}
\begin{tikzpicture}
\begin{axis}[
width=13.5cm,
height=8.625cm,
% Grid
grid = major,
grid style={black, thin},
% size
xmin=-5.25, % start the diagram at this x-coordinate
xmax= 5.25, % end the diagram at this x-coordinate
ymin=-0.05, % start the diagram at this y-coordinate
ymax= 1.05, % end the diagram at this y-coordinate
% Legende
legend style={
font=\large\sansmath\sffamily,
at={(0.7716,0.41)},
anchor=north,
legend cell align=left
},
% Ticks
tick align=inside,
minor tick num=3,
minor tick style={thick},
yticklabel style={
/pgf/number format/precision=1,
/pgf/number format/fixed,
/pgf/number format/fixed zerofill},
% Axis
axis line style = very thick,
xlabel=$x$,
x label style={at={(axis description cs:0.5,0)},
anchor=north,
font=\boldmath\Large},
ylabel=$\Phi_{\mu, \sigma^2}(x)$,
y label style={at={(axis description cs:0.05,0.5)},
anchor=south,
font=\boldmath\Large},
]
\addplot[domain=-5.25:5.25,smooth,blue!70!black,ultra thick,samples=200,] gnuplot{\cdf(x)(0)(0.2)};
\addplot[domain=-5.25:5.25,smooth,red!70!black,ultra thick,samples=200,] gnuplot{\cdf(x)(0)(1.0)};
\addplot[domain=-5.25:5.25,smooth,yellow!80!black,ultra thick,samples=200,] gnuplot{\cdf(x)(0)(5)};
\addplot[domain=-5.25:5.25,smooth,green!70!black,ultra thick,samples=200,] gnuplot{\cdf(x)(-2)(0.5)};
\addlegendentry{$\mu=\hphantom{-}0,\enskip \sigma^2 = 0.2$}
\addlegendentry{$\mu=\hphantom{-}0,\enskip \sigma^2 = 1.0$}
\addlegendentry{$\mu=\hphantom{-}0,\enskip \sigma^2 = 5.0$}
\addlegendentry{$\mu=-2,\enskip \sigma^2 = 0.5$}
\end{axis}
\end{tikzpicture}
\end{preview}
\end{document}