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function [alphahat,epsilonhat,etahat,a1] = DiffuseKalmanSmootherH3corr(T,R,Q,H,Pinf1,Pstar1,Y,trend,pp,mm,smpl,mf)
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% stephane.adjemian@cepremap.cnrs.fr [09-16-2004]
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%
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% function [alphahat,epsilonhat,etahat,a1] = DiffuseKalmanSmootherH3corr(T,R,Q,H,Pinf1,Pstar1,Y,trend,pp,mm,smpl,mf)
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% Computes the diffuse kalman smoother with 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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% epsilonhat:smoothed measurement error
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% etahat: smoothed shocks
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% a1: matrix of one step ahead filtered state variables
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% SPECIAL REQUIREMENTS
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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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%
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% part of DYNARE, copyright Dynare Team (2004-2008)
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% Gnu Public License.
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global options_;
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