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An Adaptive Markov Chain Monte Carlo Method for GARCH Model

Tetsuya Takaishi

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Abstract: We propose a method to construct a proposal density for the Metropolis-Hastings algorithm in Markov Chain Monte Carlo (MCMC) simulations of the GARCH model. The proposal density is constructed adaptively by using the data sampled by the MCMC metho d itself. It turns out that autocorrelations between the data generated with our adaptive proposal density are greatly reduced. Thus it is concluded that the adaptive construction method is very efficient and works well for the MCMC simulations of the GARCH model.

Date: 2009-01
New Economics Papers: this item is included in nep-ecm, nep-ets and nep-ore
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Citations: View citations in EconPapers (7)

Published in Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering. Complex Sciences, vol. 5 (2009) 1424-1434

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