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Missing data and forecasting in multivariate time series: An application of the common components dynamic linear model
Authors:Fabio Corradi  Giuseppina Guagnano
Affiliation:(1) Università di Firenze, Dipartimento Statistico, Firenze, Italy;(2) Dip.to di studi geoecon Statistici, storici per l'analisi region, Università degli studi di Roma “La Sapienza”, Roma, Italy
Abstract:
Summary The paper deals with missing data and forecasting problems in multivariate time series making use of the Common Components Dynamic Linear Model (DLMCC), presented in Quintana (1985), and West and Harrison (1989). Some results are presented and discussed: exploiting the correlation between series, estimated by the DLMCC, the paper shows as it is possible to update state vector posterior distributions for the unobserved series. This is realized on the base of the updating of the observed series state vectors, for which the usual Kalman filter equations can be applied. An application concerning some Italian private consumption series provides an example of the model capabilities.
Keywords:Multivariate time series  missing data  Dynamic Linear Models  Kalman filter  conditional estimates
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