File:Normal Distribution PDF.svg
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[edit]DescriptionNormal Distribution PDF.svg |
English: A selection of Normal Distribution Probability Density Functions (PDFs). Both the mean, μ, and variance, σ², are varied. The key is given on the graph. |
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Date | ||||
Source | self-made, Mathematica, Inkscape | |||
Author | Inductiveload | |||
Permission (Reusing this file) |
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SVG development InfoField | ||||
Source code InfoField | R codePlot[
{
PDF[NormalDistribution[1, Sqrt[2]], x],
PDF[NormalDistribution[2, 1], x],
PDF[NormalDistribution[3, Sqrt[3]], x],
},
{x, -5, 5},
PlotRange -> All,
Axes -> False]
Data# Normal Distribution PDF
#range
x=seq(-5,5,length=200)
#plot each curve
plot(x,dnorm(x,mean=0,sd=sqrt(.2)),type="l",lwd=2,col="blue",main='Normal Distribution PDF',xlim=c(-5,5),ylim=c(0,1),xlab='X',
ylab='φμ, σ²(X)')
curve(dnorm(x,mean=0,sd=1), add=TRUE,type="l",lwd=2,col="red")
curve(dnorm(x,mean=0,sd=sqrt(5)), add=TRUE,type="l",lwd=2,col="brown")
curve(dnorm(x,mean=-2,sd=sqrt(.5)), add=TRUE,type="l",lwd=2,col="green")
Text# Normal Distribution
import numpy as np
import matplotlib.pyplot as plt
def make_gauss(N, sig, mu):
return lambda x: N/(sig * (2*np.pi)**.5) * np.e ** (-(x-mu)**2/(2 * sig**2))
def main():
ax = plt.figure().add_subplot(1,1,1)
x = np.arange(-5, 5, 0.01)
s = np.sqrt([0.2, 1, 5, 0.5])
m = [0, 0, 0, -2]
c = ['b','r','y','g']
for sig, mu, color in zip(s, m, c):
gauss = make_gauss(1, sig, mu)(x)
ax.plot(x, gauss, color, linewidth=2)
plt.xlim(-5, 5)
plt.ylim(0, 1)
plt.legend(['0.2', '1.0', '5.0', '0.5'], loc='best')
plt.show()
if __name__ == '__main__':
main()
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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 | 16:06, 29 April 2016 | 720 × 460 (63 KB) | Rayhem (talk | contribs) | Lighten background grid | |
17:19, 22 September 2009 | 720 × 460 (65 KB) | Stpasha (talk | contribs) | Trying again, there seems to be a bug with previous upload… | ||
17:15, 22 September 2009 | 720 × 460 (65 KB) | Stpasha (talk | contribs) | Curves are more distinguishable; numbers correctly rendered in roman style instead of italic | ||
14:07, 27 June 2009 | 720 × 460 (55 KB) | Autiwa (talk | contribs) | fichier environ 2 fois moins gros. Purgé des définitions inutiles, et avec des plots optimisés au niveau du nombre de points. | ||
18:22, 5 September 2008 | 720 × 460 (109 KB) | PatríciaR (talk | contribs) | from http://tools.wikimedia.pl/~beau/imgs/ (recovering lost file) | ||
19:09, 2 April 2008 | No thumbnail | (109 KB) | Inductiveload (talk | contribs) | {{Information |Description=A selection of Normal Distribution Probability Density Functions (PDFs). 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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Width | 720 |
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Height | 460 |