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Time varying VARs with inequality restrictions

Gary Koop and Simon Potter

Journal of Economic Dynamics and Control, 2011, vol. 35, issue 7, 1126-1138

Abstract: In many applications involving time-varying parameter VARs, it is desirable to restrict the VAR coefficients at each point in time to be non-explosive. This is an example of a problem where inequality restrictions are imposed on states in a state space model. In this paper, we describe how existing MCMC algorithms for imposing such inequality restrictions can work poorly (or not at all) and suggest alternative algorithms which exhibit better performance. Furthermore, we show that previous algorithms involve an approximation relating to a key prior integrating constant. Our algorithms are exact, not involving this approximation. In an application involving a commonly used U.S. data set, we present evidence that the algorithms proposed in this paper work well.

Keywords: Bayesian; State; space; model; Markov; chain; Monte; Carlo; Metropolis-Hastings (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (62)

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Journal of Economic Dynamics and Control is currently edited by J. Bullard, C. Chiarella, H. Dawid, C. H. Hommes, P. Klein and C. Otrok

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