File:Normal-distribution-cumulative-distribution-function-many.svg
Original file (SVG file, nominally 900 × 545 pixels, file size: 120 KB)
Captions
Summary[edit]
DescriptionNormal-distribution-cumulative-distribution-function-many.svg |
English: A selection of normal distribution cumulative distribution functions (CDFs). Both the mean, μ, and variance, σ², are varied.
Deutsch: Eine Auswahl an Verteilungsfunktionen der Normalverteilung mit
|
Date | |
Source | Own work |
Author | MartinThoma |
Source is available at github
LaTeX Code[edit]
\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}
Licensing[edit]
This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. | |
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse |
This image has been assessed using the Quality image guidelines and is considered a Quality image.
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File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 12:52, 11 August 2014 | 900 × 545 (120 KB) | MartinThoma (talk | contribs) | Increased legend entries to "\large" | |
12:48, 11 August 2014 | 900 × 545 (120 KB) | MartinThoma (talk | contribs) | Increased size of legend entries; moved legend to south east | ||
12:43, 11 August 2014 | 900 × 545 (119 KB) | MartinThoma (talk | contribs) | Legendeneinträge in sffamily (serifenfrei) zur besseren Lesbarkeit | ||
05:17, 10 August 2014 | 900 × 545 (131 KB) | MartinThoma (talk | contribs) | thickened border and ticks | ||
05:08, 10 August 2014 | 900 × 545 (131 KB) | MartinThoma (talk | contribs) | Thickened lines and added 3 minor tiks | ||
04:57, 10 August 2014 | 899 × 543 (126 KB) | MartinThoma (talk | contribs) | made numbers sans serif | ||
04:45, 10 August 2014 | 899 × 543 (136 KB) | MartinThoma (talk | contribs) | Increased line strength | ||
04:24, 10 August 2014 | 899 × 543 (144 KB) | MartinThoma (talk | contribs) | Ticks inside | ||
04:20, 10 August 2014 | 899 × 546 (144 KB) | MartinThoma (talk | contribs) | Increased standard size | ||
04:16, 10 August 2014 | 479 × 291 (92 KB) | MartinThoma (talk | contribs) | {{Information |Description ={{en|1=A selection of Normal Distribution Cumulative Density Functions (CDFs). Both the mean, μ, and variance, σ², are varied. {{legend|#0000b0|<math>\mu=0, \sigma^2=0.2</math>}} {{legend|#b00000|<math>\mu=0, \sigma^2... |
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Width | 720pt |
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Height | 436pt |