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File:Folded normal pdf.svg

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Summary

Probability density function (pdf) of a folded-normal random variable with , . The graph is generated using gnuplot:

set terminal svg enhanced size 640 360
set samples 1001  # high quality
set border 31 linewidth .3 # thin border
set output "folded_normal.svg"

set notitle
set xrange [-3:5]
set ytics 0.1

sigma=1.0
mu=1.0
n(x)=1.0/(sqrt(2.0*pi)*sigma) * exp( -(mu-x)**2/(2.0*sigma**2) )
nreflect(x)= (x<0) ? 1/0 : n(-x)
fn(x)= (x<-0.01) ? 0 : (x<0) ? 1/0 : (n(x) + n(-x)) 

set arrow 1 from  0,0 to  0,0.5 nohead lt 0

plot	n(x) title "normal density",\
	fn(x) title "folded-normal density" lw 3,\
	nreflect(x) notitle with l lt 0

Licensing

Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
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Date/TimeThumbnailDimensionsUserComment
current15:46, 5 August 2011Thumbnail for version as of 15:46, 5 August 2011640 × 360 (42 KB)NagelumProbability density function (pdf) of a folded-normal random variable with $mu=1$, $sigma=1$.

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