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http://dx.doi.org/10.5351/CKSS.2003.10.1.203

Bayesian Estimation of State-Space Model Using the Hybrid Monte Carlo within Gibbs Sampler  

Park, Ilsu (Department of Applied Mathematics, Yeosu National University)
Publication Information
Communications for Statistical Applications and Methods / v.10, no.1, 2003 , pp. 203-210 More about this Journal
Abstract
In a standard Metropolis-type Monte Carlo simulation, the proposal distribution cannot be easily adapted to "local dynamics" of the target distribution. To overcome some of these difficulties, Duane et al. (1987) introduced the method of hybrid Monte Carlo(HMC) which combines the basic idea of molecular dynamics and the Metropolis acceptance-rejection rule to produce Monte Carlo samples from a given target distribution. In this paper, using the HMC within Gibbs sampler, an asymptotical estimate of the smoothing mean and a general solution to state space modeling in Bayesian framework is obtaineds obtained.
Keywords
Hybrid Monte Carlo; Gibbs sampler; State-space model;
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