Summary

Cumulative distribution function for the normal distribution

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue

gnuplot source under GPL:

_ln_dnorm(x, m, s) = -1.5 * 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"

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.http://www.gnu.org/licenses/gpl.htmlGPLGNU General Public Licensetruetrue

SVG version: Arpad Horvath

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue

Category:License migration redundant#Normal%20distribution%20cdf.svgCategory:GFDL#Normal%20distribution%20cdf.svg

	This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
	You are free: to share – to copy, distribute and transmit the work to remix – to adapt the work Under the following conditions: attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
	This licensing tag was added to this file as part of the GFDL licensing update.http://creativecommons.org/licenses/by-sa/3.0/CC BY-SA 3.0Creative Commons Attribution-Share Alike 3.0truetrue

Category:CC-BY-SA-3.0-migrated#Normal%20distribution%20cdf.svg

This file is licensed under the Creative Commons Attribution 2.5 Generic license.

You are free:

• to share – to copy, distribute and transmit the work
• to remix – to adapt the work

Under the following conditions:

• attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.

https://creativecommons.org/licenses/by/2.5CC BY 2.5 Creative Commons Attribution 2.5 truetrue

Category:CC-BY-2.5#Normal%20distribution%20cdf.svg

You may select the license of your choice.