File:Normal Distribution CDF.svg

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Original file ‎(SVG file, nominally 720 × 460 pixels, file size: 76 KB)

Captions

Captions

A selection of Normal Distribution Cumulative Density Functions (CDFs). Both the mean, μ, and variance, σ², are varied.

Summary[edit]

Description A selection of Normal Distribution Cumulative Density Functions (CDFs). Both the mean, μ, and variance, σ², are varied. The key is given on the graph.
Date
Source Own work (Original text: self-made, Mathematica, Inkscape)
Author Inductiveload
Permission
(Reusing this file)
Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.
Other versions Derivative works of this file:  CumulativeSD.svg
SVG development
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The SVG code is valid.
 
This trigonometry was created with Inkscape.
 
This trigonometry uses embedded text.

Mathematica Code[edit]

Plot[
 {
  CDF[NormalDistribution[0, Sqrt[0.2]], x],
  CDF[NormalDistribution[0, 1], x],
  CDF[NormalDistribution[0, Sqrt[5]], x],
  CDF[NormalDistribution[-2, Sqrt[0.5]], x]
  },
 {x, -5, 5},
 PlotRange -> All,
 Axes -> False]

R language Code[edit]

#Normal Distribution - Cumulative Density Function (CDF)
#range
x=seq(-5,5,length=200)
#plot each curve
plot(x,pnorm(x,mean=0,sd=sqrt(.2)),type="l",lwd=2,col="blue",main='Cumulative Density Function CDF',xlim=c(-5,5),ylim=c(0,1),xlab='X',
ylab='φμ, σ²(X)')
curve(pnorm(x,mean=0,sd=1), add=TRUE,type="l",lwd=2,col="red")
curve(pnorm(x,mean=0,sd=sqrt(5)), add=TRUE,type="l",lwd=2,col="yellow")
curve(pnorm(x,mean=-2,sd=sqrt(.5)), add=TRUE,type="l",lwd=2,col="green")

File history

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Date/TimeThumbnailDimensionsUserComment
current16:17, 29 April 2016Thumbnail for version as of 16:17, 29 April 2016720 × 460 (76 KB)Rayhem (talk | contribs)Lighten background grid
16:17, 12 September 2014Thumbnail for version as of 16:17, 12 September 2014720 × 460 (73 KB)Wereldburger758 (talk | contribs)Valid SVG now.
21:12, 23 September 2009Thumbnail for version as of 21:12, 23 September 2009720 × 460 (84 KB)Stpasha (talk | contribs)re-uploading same file, since upload is buggy
19:28, 23 September 2009Thumbnail for version as of 19:28, 23 September 2009720 × 460 (84 KB)Stpasha (talk | contribs)Lines are made thicker and more visible, all numbers rendered in roman instead of italic, white background added
14:14, 27 June 2009Thumbnail for version as of 14:14, 27 June 2009720 × 460 (55 KB)Autiwa (talk | contribs)nouvelle version où j'ai enlevé la courbe qui était en double. (en gros, j'ai enlevé la grosse version de 600 points, pour garder la petite)
19:17, 2 April 2008Thumbnail for version as of 19:17, 2 April 2008720 × 460 (80 KB)Inductiveload (talk | contribs)Cliiping path caused rendering fault. hopefully fixed now.
19:12, 2 April 2008Thumbnail for version as of 19:12, 2 April 2008720 × 460 (78 KB)Inductiveload (talk | contribs){{Information |Description= |Source= |Date= |Author= |Permission= |other_versions= }}
19:10, 2 April 2008Thumbnail for version as of 19:10, 2 April 2008720 × 460 (78 KB)Inductiveload (talk | contribs){{Information |Description=A selection of Normal Distribution Cumulative Density Functions (CDFs). Both the mean, ''μ'', and variance, ''σ²'', are varied. The key is given on the graph. |Source=self-made, Mathematica, Inkscape |Date=02/04/2008 |Author=

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