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git-svn-id: https://www.dynare.org/svn/dynare/dynare_v4@1574 ac1d8469-bf42-47a9-8791-bf33cf982152time-shift
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function [alphahat,etahat,a1, aK] = DiffuseKalmanSmoother3(T,R,Q,Pinf1,Pstar1,Y,trend,pp,mm,smpl,mf)
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function [alphahat,etahat,a1, aK] = DiffuseKalmanSmoother3(T,R,Q,Pinf1,Pstar1,Y,trend,pp,mm,smpl,mf)
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%function [a,etahat,a1, aK] = DiffuseKalmanSmoother3(T,R,Q,Pinf1,Pstar1,Y,trend,pp,mm,smpl,mf)
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% function [alphahat,etahat,a1, aK] = DiffuseKalmanSmoother3(T,R,Q,Pinf1,Pstar1,Y,trend,pp,mm,smpl,mf)
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% Computes the diffuse kalman smoother without measurement error, in the case of a singular var-cov matrix.
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% Univariate treatment of multivariate time series.
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%
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% INPUTS
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% T: mm*mm matrix
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% R: mm*rr matrix
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% Q: rr*rr matrix
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% Pinf1: mm*mm diagonal matrix with with q ones and m-q zeros
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% Pstar1: mm*mm variance-covariance matrix with stationary variables
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% Y: pp*1 vector
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% trend
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% pp: number of observed variables
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% mm: number of state variables
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% smpl: sample size
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% mf: observed variables index in the state vector
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%
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% OUTPUTS
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% alphahat: smoothed state variables
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% etahat: smoothed shocks
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% a1: matrix of one step ahead filtered state variables
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% aK: 3D array of k step ahead filtered state variables
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% SPECIAL REQUIREMENTS
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% See "Filtering and Smoothing of State Vector for Diffuse State Space
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% Models", S.J. Koopman and J. Durbin (2003, in Journal of Time Series
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% Analysis, vol. 24(1), pp. 85-98).
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%
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% part of DYNARE, copyright Dynare Team (2004-2008)
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% Gnu Public License.
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% Modified by M. Ratto
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% Modified by M. Ratto
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% New output argument aK: 1-step to nk-stpe ahed predictions)
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% New output argument aK: 1-step to nk-stpe ahed predictions)
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% New input argument nk: max order of predictions in aK
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% New input argument nk: max order of predictions in aK
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@ -11,12 +43,6 @@ function [alphahat,etahat,a1, aK] = DiffuseKalmanSmoother3(T,R,Q,Pinf1,Pstar1,Y,
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% Li also stored during DKF iterations !!
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% Li also stored during DKF iterations !!
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% some bugs corrected in the DKF part of the smoother (Z matrix and
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% some bugs corrected in the DKF part of the smoother (Z matrix and
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% alphahat)
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% alphahat)
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%
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% stephane.adjemian@cepremap.cnrs.fr [09-16-2004]
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%
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% See "Fast Filtering and Smoothing for Multivariate State Space
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% Models", S.J. Koopman and J. Durbin (2000, in Journal of Time Series
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% Analysis, vol. 21(3), pp. 281-296).
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global options_
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global options_
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