www.pudn.com > HMM1.zip > beta_sample.m


function r = betarnd(a,b,m,n); 
%BETARND Random matrices from beta distribution. 
%   R = BETARND(A,B) returns a matrix of random numbers chosen    
%   from the beta distribution with parameters A and B. 
%   The size of R is the common size of A and B if both are matrices. 
%   If either parameter is a scalar, the size of R is the size of the other 
%   parameter. Alternatively, R = BETARND(A,B,M,N) returns an M by N matrix.  
 
%   Reference: 
%      [1]  L. Devroye, "Non-Uniform Random Variate Generation",  
%      Springer-Verlag, 1986 
 
%   Copyright (c) 1993-98 by The MathWorks, Inc. 
%   $Revision: 1.1 $  $Date: 2005/04/26 02:29:17 $ 
 
if nargin < 2,  
    error('Requires at least two input arguments');  
end  
 
if nargin == 2 
    [errorcode rows columns] = rndcheck(2,2,a,b); 
end 
 
if nargin == 3 
    [errorcode rows columns] = rndcheck(3,2,a,b,m); 
end 
 
if nargin == 4 
    [errorcode rows columns] = rndcheck(4,2,a,b,m,n); 
end 
 
if errorcode > 0 
    error('Size information is inconsistent.'); 
end 
 
r = zeros(rows,columns); 
 
% Use Theorem 4.1, case A (Devroye, page 430) to derive beta 
%   random numbers as a ratio of gamma random numbers. 
if prod(size(a)) == 1 
    a1 = a(ones(rows,1),ones(columns,1)); 
    g1 = gamrnd(a1,1); 
else 
    g1 = gamrnd(a,1); 
end 
if prod(size(b)) == 1 
    b1 = b(ones(rows,1),ones(columns,1)); 
    g2 = gamrnd(b1,1); 
else 
    g2 = gamrnd(b,1); 
end 
r = g1 ./ (g1 + g2); 
 
% Return NaN if b is not positive. 
if any(any(b <= 0)); 
    if prod(size(b) == 1) 
        tmp = NaN; 
        r = tmp(ones(rows,columns)); 
    else 
        k = find(b <= 0); 
        tmp = NaN; 
        r(k) = tmp(ones(size(k))); 
    end 
end 
 
% Return NaN if a is not positive. 
if any(any(a <= 0)); 
    if prod(size(a) == 1) 
        tmp = NaN; 
        r = tmp(ones(rows,columns)); 
    else 
        k = find(a <= 0); 
        tmp = NaN; 
        r(k) = tmp(ones(size(k))); 
    end 
end