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Generation of Random Variates

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Generation of Random Variates

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generates random variates from over 870 univariate distributions

ptad_pdf(x, theta, gam, N)
% ptad_pdf.m - evaluates a Power tail Probability Density.
%   See "Performance of Class-Based Queues with Self-Similar Traffic"
%   J. Orellana et al., University College London.
%
%  Created by Jim Huntley,  07/24/06
%

function [pdf] = ptad_pdf(x, theta, gam, N)

M = (1-theta) / (1 - gam*theta);
G = (1-theta) / (1 - theta^N);
ratio = theta/gam;
sum1 = 0;

for jn = 1:N
    sum1 = sum1 + ratio^(jn-1) * exp(-M*x/gam^(jn-1));
end
pdf = M * G * sum1;

return

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