File:Half normal cdf.svg

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Summary

Description
English: Cumulative distribution function (cdf) of a half-normal random variable with $sigma=1$
Date
Source Own work
Author Nagelum
# requires gnuplot 5 or higher

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

set notitle
set xrange [-5:5]
set yzeroaxis
set xtics 1

cdf_normal(x,m,s)=0.5+0.5*erf((x-m)/s/sqrt(2.0))

sigma=1.0
mu=0.0

cdf_fn(x)= (x<0) ? 0 : cdf_normal(x,mu,sigma)-cdf_normal(-x,mu,sigma)

plot    cdf_fn(x) title "half-normal cdf"  with l lt 2 lw 3 , \
	cdf_normal(x,mu,sigma) title "normal cdf" with l lt 4 lw 2 dt "-"

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30 April 2017

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current17:19, 30 April 2017Thumbnail for version as of 17:19, 30 April 2017640 × 360 (39 KB)wikimediacommons>NagelumUser created page with UploadWizard

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