Q-Markov random probability measures and their posterior distributions

In this paper, we use the Markov property introduced in Balan and Ivanoff (J. Theoret. Probab. 15 (2002) 515) for set-indexed processes and we prove that a Markov prior distribution leads to a Markov posterior distribution. In particular, by proving that a neutral to the right prior distribution leads to a neutral to the right posterior distribution, we extend a fundamental result of Doksum (Ann. Probab. 2 (1974) 183) to arbitrary sample spaces.

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Year of publication:	2004
Authors:	Balan, R. M.
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 109.2004, 2, p. 295-316
Publisher:	Elsevier
Keywords:	Random probability measure Q-Markov process Transition system Dirichlet process Neutral to the right process

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://ebvufind01.dmz1.zbw.eu/10008873002