dynare/matlab/recursive_moments.m

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function [mu,sigma] = recursive_moments(m0,s0,data,offset)
% stephane.adjemian@cepremap.cnrs.fr [02-03-2005]
%
% m0 :: the initial mean, assumed to be a n*1 vector.
% s0 :: the initial variance, assumed to be a n*n matrix.
% data :: T*n matrix.
%
% mu :: the sample mean, a n*1 vector.
% sigma :: the sample covariance matrix, a n*n matrix.
%
% --> TODO: dll
T = size(data,1);
n = size(data,2);
for t = 1:T
tt = t+offset;
m1 = m0 + (1/tt)*(data(t,:)'-m0);
s1 = s0 + (1/tt)*(data(t,:)'*data(t,:)-m1*m1'-s0) + ((tt-1)/tt)*(m0*m0'-m1*m1');
m0 = m1;
s0 = s1;
end
mu = m1;
sigma = s1;