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added normal distribution image

This commit is contained in:
Martin Thoma 2014-08-10 01:28:39 -04:00
parent 47dec60918
commit 8d93d70e1b
4 changed files with 106 additions and 0 deletions

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SOURCE = normal-distribution-cumulative-density-function-many
DELAY = 80
DENSITY = 300
WIDTH = 512
make:
pdflatex -shell-escape $(SOURCE).tex -output-format=pdf
make clean
clean:
rm -rf $(TARGET) *.class *.html *.log *.aux *.data *.gnuplot
gif:
pdfcrop $(SOURCE).pdf
convert -verbose -delay $(DELAY) -loop 0 -density $(DENSITY) $(SOURCE)-crop.pdf $(SOURCE).gif
make clean
png:
make
make svg
inkscape $(SOURCE).svg -w $(WIDTH) --export-png=$(SOURCE).png
transparentGif:
convert $(SOURCE).pdf -transparent white result.gif
make clean
svg:
#inkscape $(SOURCE).pdf --export-plain-svg=$(SOURCE).svg
pdf2svg $(SOURCE).pdf $(SOURCE)1.svg
# Necessary, as pdf2svg does not always create valid svgs:
inkscape $(SOURCE)1.svg --export-width=$(WIDTH) --export-plain-svg=$(SOURCE)1.svg
rsvg-convert -a -w 720 -f svg $(SOURCE)1.svg -o $(SOURCE).svg

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Compiled example
----------------
![Example](normal-distribution-cumulative-density-function-many.png)
Credits
-------
This image is based on the one of [Claudio Fiandrino](http://tex.stackexchange.com/a/60956/5645).

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\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 pos=north west,
legend style={font=\footnotesize},
% 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{$\mu=\hphantom{-}0,\quad \sigma^2 = 0.2$}
\addlegendentry{$\mu=\hphantom{-}0,\quad \sigma^2 = 1.0$}
\addlegendentry{$\mu=\hphantom{-}0,\quad \sigma^2 = 5.0$}
\addlegendentry{$\mu=-2,\quad \sigma^2 = 0.5$}
\end{axis}
\end{tikzpicture}
\end{preview}
\end{document}