📄 distrstat.m
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function [statdist, statpar] = distrstat(distr, dpar)
%
% [statdist, statpar] = distrstat(distr, dpar)
%
% DISTRSTAT a table-lookup function. For a given handle to an
% external random number generator returns a handle to a generator
% from the stationary distribution:
%
% G(t) = 1/mu * int_0^t (1-F(s)) ds
%
% Parameters to both distributions are given in cell-arrays.
%
% Inputs:
% distr - pointer to the external function generating random
% numbers from the desired distribution:
% @rand: uniform in (0,1)
% @simexp: Exp(lambda)
% @simparetonrm: Pareto(alpha, gamma) (see function
% SIMPARETONRM)
% @randn: standard normal
% dpar - a cell array of the distribution parameters
%
% Outputs:
% statdist - the stationary distribution
% statpar - a cell array with the parameters of the stationary
% distribution
%
% See also DISTRMU.
% Author: R.Gaigalas
% v1.0 06-Oct-05
switch func2str(distr)
% switch distr
case 'ones' % degenerate=1 wp1 - counting process
statdist = @ones;
statpar = {};
mu = 1;
case 'rand' % uniform (0,1)
% G(x)=2*x-x^2, 0<=x<=1
statdist = @simlinear;
statpar = {};
case 'simexp' % Exp(lambda)
statdist = @simexp;
statpar = dpar;
case 'simpareto' % Pareto(alpha)
statdist = @simpareto;
statpar = {dpar{1}-1, dpar{2}};
case 'simparetonrm' % Normalized Pareto(alpha, gamma)
statdist = @simparetonrm;
statpar = {dpar{1}-1, dpar{2}};
otherwise
error('Bad parameter <distr>');
return;
end
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