File:Normal distribution pdf.svg

Original file (SVG file, nominally 600 × 480 pixels, file size: 11 KB)

Probability density function for the normal distribution

GNU head 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.
w:en:Creative Commons
attribution share alike
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.

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.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

File history

Click on a date/time to view the file as it appeared at that time.

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

Global file usage

The following other wikis use this file:

Metadata