IT代写 function pdf = beta_pdf(x, a, b)

function pdf = beta_pdf(x, a, b)
% PURPOSE: pdf of the beta(a,b) distribution
%————————————————————–
% USAGE: pdf = beta_pdf(x,a,b)

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% where: x = vector of components
% a = beta distribution parameter, a = scalar
% b = beta distribution parameter b = scalar
% NOTE: mean[(beta(a,b)] = a/(a+b), variance = ab/((a+b)*(a+b)*(a+b+1))
%————————————————————–
% RETURNS: pdf at each element of x of the beta(a,b) distribution
%————————————————————–
% SEE ALSO: beta_d, beta_pdf, beta_inv, beta_rnd
%————————————————————–
% , 18-11-93
% Copyright (c)
% documentation modified by LeSage to
% match the format of the econometrics toolbox

if (nargin ~=3)
error(‘Wrong # of arguments to beta_pdf’);
if any(any((a<=0)|(b<=0))) error('Parameter a or b is nonpositive'); I = find((x<0)|(x>1));
pdf = x.^(a-1) .* (1-x).^(b-1) ./ beta(a,b);
pdf(I) = 0*I;

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