File:Normal distribution cdf.svg
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Normal_distribution_cdf.svg (SVG file, nominally 600 × 480 pixels, file size: 39 KB)
[edit] Summary
Cumulative distribution function for the normal distribution
gnuplot source under GPL:
_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 samples 1001
set terminal postscript enhanced color solid lw 2 "Times-Roman" 20
set output
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, 0.2) title "{/Symbol m} = 0, {/Symbol s}^2 = 0.2", \
f(x, 0, 1) title "{/Symbol m} = 0, {/Symbol s}^2 = 1.0", \
f(x, 0, 5) title "{/Symbol m} = 0, {/Symbol s}^2 = 5.0", \
f(x, -2, 0.5) title "{/Symbol m} = -2, {/Symbol s}^2 = 0.5"
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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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SVG version: Arpad Horvath
[edit] Licensing
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 15:42, 14 March 2006 | | 600×480 (39 KB) | Harp (talk | contribs) | (Cumulative distribution function for the normal distribution {{GFDL}} gnuplot source under GPL: _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) *) |
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