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Title:
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A Low Dimensional Kalman Filter for Systems with Lagged Observables
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Author:
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Nimark, Kristoffer
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Other authors:
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Universitat Pompeu Fabra. Departament d'Economia i Empresa |
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Resum:
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This note describes how the Kalman filter can be modified to allow for the vector of observables to be a function of lagged variables without increasing the dimension of the state vector in the filter. This is useful in applications where it is desirable to keep the dimension of the state vector low. The modified filter and accompanying code (which nests the standard filter) can be used to compute (i) the steady state Kalman filter (ii) the log likelihood of a parameterized state space model conditional on a history of observables (iii) a smoothed estimate of latent state variables and (iv) a draw from the distribution of latent states conditional on a history of observables. |
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Publication date:
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2010-05-13 |
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Subject(s):
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Kalman filter, lagged observables, Kalman smoother, simulation smoother |
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Rights:
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Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el departament i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/) |
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Document type:
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Working Paper |
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