dynare/matlab/distributions/rand_multivariate_normal.m

35 lines
1.4 KiB
Matlab

function draw = rand_multivariate_normal(Mean,Sigma_upper_chol,n)
% Pseudo random draws from a multivariate normal distribution,
% \mathcal N_n(Mean,Sigma), with expectation Mean and variance Sigma.
%
% INPUTS
%
% Mean [double] 1*n vector, expectation of the multivariate random variable.
% Sigma_upper_chol [double] n*n matrix, upper triangular Cholesky decomposition of Sigma (the covariance matrix).
% n [integer] dimension.
%
% OUTPUTS
% draw [double] 1*n vector drawn from a multivariate normal distribution with expectation Mean and
% covariance Sigma
%
% SPECIAL REQUIREMENTS
% Copyright © 2003-2017 Dynare Team
%
% This file is part of Dynare.
%
% Dynare is free software: you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation, either version 3 of the License, or
% (at your option) any later version.
%
% Dynare is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
% GNU General Public License for more details.
%
% You should have received a copy of the GNU General Public License
% along with Dynare. If not, see <https://www.gnu.org/licenses/>.
draw = Mean + randn(1,n) * Sigma_upper_chol;