Hình:Normal distribution cdf.png – Wikipedia tiếng Việt

# Hình:Normal distribution cdf.png

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Cumulative distribution function for the normal distribution

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gnuplot source under GPL:

    _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 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 (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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