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// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
// Copyright (C) ENPC
// Copyright (C) ????-2008 - INRIA
// Copyright (C) 2010 - DIGITEO - Allan CORNET
//
// This file is released under the 3-clause BSD license. See COPYING-BSD.
function []=GeomT(n)
function [y]=Geom(m,n,p)
// P(0)= 0 P(i) = p*(1-p)^{n-1} P(inf)=0
// E = 1/p ; sig2= (1-p)/p^2
//--------------------------------------
if p >= 1 then disp(_("p must be < 1"));end
y = 0*ones(m, n);
for i=1:m*n,
samples = 1;
z = rand(1,1,"uniform");
while( z < 1-p) ,z=rand(1,1,"uniform"); samples=samples+1;end
y(i) = samples;
end
y = matrix(y, m, n);
endfunction
[lhs, rhs] = argn(0);
if rhs <= 0 ; n = 10000;end
pr = 0.2;
y = Geom(1, n, pr);
N = 20;
i = 0:N;
z = [];
for i1 = i, z = [z, prod(size(find(y==i1)))], end
drawlater();
my_handle = scf(100001);
clf(my_handle,"reset");
demo_viewCode("geometric.dem.sce");
plot2d3("onn", i', z'/n, [1,3]);
zt = [0];
for i1=1:N; zt=[zt,pr*(1-pr)^(i1-1)];end
plot2d1("onn", i', zt', [-2,6]);
xtitle(_("Simulation of a geometric random variable"));
current_axe = gca();
current_axe.title.font_size = 3;
current_axe.background = color(232,230,200);
legend([_("Simulation");_("Theory")]);
drawnow();
endfunction
GeomT();
clear GeomT;
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