Image:Cauchy distribution pdf.png - Wikipedia

# Image:Cauchy distribution pdf.png

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Probability density function for the Cauchy 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".

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gnuplot source under GPL:

    dcauchy(x,l,s) = 1.0 / (pi * s * (1 + ((x-l)*1.0/s)**2))
    pcauchy(x,l,s) = 0.5 + atan((x-l)*1.0/s) / pi
    qcauchy(p,l,s) = l - s * 1.0/tan(pi * p)

    set samples 1001
    set terminal postscript enhanced color solid lw 2 "Times-Roman" 20
    set output

    set xtics 1
    set ytics 0.1

    f(x,y,z) = dcauchy(x,y,z)
    set key 3.6,0.65

    #f(x,y,z) = pcauchy(x,y,z)
    #set key 3.6,0.2

    plot [-5:5] \
        f(x,  0, 0.5) title "{/Times-Italic x}_0 =  0, {/Symbol g} = 0.5", \
        f(x,  0, 1)   title "{/Times-Italic x}_0 =  0, {/Symbol g} = 1.0", \
        f(x,  0, 2)   title "{/Times-Italic x}_0 =  0, {/Symbol g} = 2.0", \
        f(x, -2, 1)   title "{/Times-Italic x}_0 = -2, {/Symbol g} = 1.0"

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 (at your option) 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 the GNU General Public License for more details.

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## Ligazóns de imaxe

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- Distribución de probabilidade

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