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function xlag = lagged(x, n)
% xlag = lagged(x, n);
% applies n-lags backward shift operator to x
%
% INPUTS
% x = time series
% n = number of backward shifts [DEFAULT=1]
%
% OUTPUT
% xlag = backward shifted series
% Copyright (C) 2017-2021 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/>.
if nargin==1
n=1;
end
x=x(:);
if n>0
xlag=[NaN(n,1); x(1:end-n)];
else
xlag=[x(abs(n)+1:end); NaN(abs(n),1)];
end
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