Model-Based Clustering of Multiple Time Series

Authors: Frühwirth-Schnatter, Sylvia1; Kaufmann, Sylvia2

Source: Journal of Business & Economic Statistics, Volume 26, Number 1, January 2008 , pp. 78-89(12)

Publisher: American Statistical Association

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Abstract:

We propose to pool multiple time series into several groups using finite-mixture models. Within each group, the same econometric model holds. We estimate the groups of time series simultaneously with the group-specific model parameters using Bayesian Markov chain Monte Carlo simulation methods. We discuss model identification and base model selection on marginal likelihoods. With a simulation study, we document the efficiency gains in estimation and forecasting realized relative to overall pooling of the time series. To illustrate the usefulness of the method, we analyze extensions to unobserved heterogeneity and to Markov switching within clusters.

Keywords: BUSINESS CYCLE ANALYSIS; GROWTH CONVERGENCE; MARKOV CHAIN MONTE CARLO; MARKOV SWITCHING; MIXTURE MODELING; PANEL DATA

Document Type: Research article

DOI: 10.1198/073500107000000106

Affiliations: 1: Department of Applied Statistics and Econometrics, Johannes Kepler University, Linz, Austria 2: Economic Studies Division, Oesterreichische Nationalbank, Vienna, Austria

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