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File:Normal approximation to binomial.svg

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Summary

svg version of the same png Normal_approximation_to_binomial.png file. Original author: User:MarkSweep

This W3C-unspecified plot was created with Gnu plot .

gnuplot source under GPL: 

# normal (Gaussian) distribution
_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)
# binomial distribution
_ln_binom(x, n, p) =\
 lgamma(n+1) - lgamma(x+1) - lgamma(n-x+1) + x*log(p) + (n-x)*log(1-p)
dbinom(x, size, prob) = (x==int(x))? exp(_ln_binom(floor(x), size, prob)) : 0
pbinom(x, size, prob) =\
 (x<0)? 0 : (x<size)? ibeta(size-floor(x), floor(x)+1, 1-prob) : 1
set terminal svg
set output "Normal approximation to binomial.svg"
set key 22,0.13
n = 48
p = 0.25
xmax = 25
set samples 50*xmax+1
plot [0:xmax] \
 dbinom(x, n, p) with impulses title "Binom(48, 0.25)", \
 dnorm(x, n*p, sqrt(n*p*(1-p))) linetype 3 title "Norm(12, 3)"

Licensing

[画像: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 .http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue
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.http://creativecommons.org/licenses/by-sa/3.0/CC BY-SA 3.0Creative Commons Attribution-Share Alike 3.0truetrue

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Date/TimeThumbnailDimensionsUserComment
current14:56, 21 November 2006 Thumbnail for version as of 14:56, 21 November 2006 600 ×ばつ 480 (18 KB)Vasiliev Mihail~commonswiki svg version of the same png file. Created with gnuplot.

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