Bayesian bootstrap clones for finite state Markov chains

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/27803

Title:	Bayesian bootstrap clones for finite state Markov chains
Authors:	Fan,TH
Contributors:	統計研究所
Date:	1995
Issue Date:	2010-06-29 19:33:57 (UTC+8)
Publisher:	中央大學
Abstract:	We use the Bayesian bootstrap clones procedure developed by Lo (1991) to simulate the posterior distributions of the transition probabilities, the stationary probabilities and the cdf of the first hitting time of a specific state for a finite state ergodic Markov chain. The large sample theory shows that, with a conjugate prior on the transition probability, both the posterior distribution and the Bayesian bootstrap clones procedure are first-order consistent, but the second order of the Bayesian bootstrap clones depends on the skewness of the random variables generated in the procedure. Small sample cases of the Bayesian bootstrap clones are also studied by simulation.
Relation:	JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION
Appears in Collections:	[Graduate Institute of Statistics] journal & Dissertation

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