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English: Probability density function for the Laplace 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 FrontCover Texts, and no BackCover 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:
dlaplace(x,mu,b) = 0.5/b * exp(abs(xmu)*1.0/b)
plaplace(x,mu,b) = 0.5*(1 + sgn(xmu)*(1exp(abs(xmu)*1.0/b)))
qlaplace(p,mu,b) = mu  b * sgn(p0.5) * log(1  2*abs(p0.5))
set samples 1001
set terminal postscript enhanced colour solid lw 2 "TimesRoman" 20
set output
set xtics 10,2
set ytics 0,0.1
f(x,y,z) = dlaplace(x,y,z)
set yrange [0:0.55]
#f(x,y,z) = plaplace(x,y,z)
#set key bottom
plot [10:10] \
f(x, 0,1) title "{/Symbol m} = 0, {/TimesItalic b} = 1", \
f(x, 0,2) title "{/Symbol m} = 0, {/TimesItalic b} = 2", \
f(x, 0,4) title "{/Symbol m} = 0, {/TimesItalic b} = 4", \
f(x,5,4) title "{/Symbol m} = 5, {/TimesItalic b} = 4"

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 
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