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Probability density function for the normal distribution

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gnuplot source under GPL; originally by MarkSweep: 

_ln_dnorm(x, m, s) = -0.5 * log(2*pi) - log(s) - 0.5*((x-m)*1.0/s)**2
dnorm(x, mean, sd) = exp(_ln_dnorm(x, mean, sd))
pnorm(x, mean, sd) = norm((x-mean) * 1.0/sd)

set terminal svg
set output 'Normal distribution pdf.svg' 

set xrange [-5:5]
set xtics 1
set yrange [0:1]
set ytics 0.1

f(x,y,z) = dnorm(x, y, sqrt(z)) #use variance, not sd!
set key 3.8,0.94

#f(x,y,z) = pnorm(x, y, sqrt(z))
#set key 3.8,0.2

plot \
   
    f(x,  0, 1)   title "μ =  0, σ² = 1.0", \
    f(x,  0, 5)   title "μ =  0, σ² = 5.0", \
    f(x, -2, 0.5) title "μ = -2, σ² = 0.5"
GNU head

This work is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or any later version. This work is distributed in the hope that it will be useful, but without any warranty; without even the implied warranty of merchantability or fitness for a particular purpose. See version 2 and version 3 of the GNU General Public License for more details.

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Date/TimeThumbnailDimensionsUserComment
current06:49, 24 December 2006Thumbnail for version as of 06:49, 24 December 2006600 × 480 (11 KB)GrendelkhanReplace use of μ with μ
06:46, 24 December 2006Thumbnail for version as of 06:46, 24 December 2006600 × 480 (31 KB)GrendelkhanProbability density function for the normal distribution {{GFDL}} gnuplot source under GPL; originally by User:MarkSweep: _ln_dnorm(x, m, s) = -0.5 * log(2*pi) - log(s) - 0.5*((x-m)*1.0/s)**2 dnorm(x, mean, sd) = exp(_ln_dnorm(x, mean, sd)) pnorm

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