How to combine fast heuristic Markov chain Monte Carlo with slow exact sampling.
Bandyopadhyay, Antar, Aldous, David J. (2001)
Electronic Communications in Probability [electronic only]
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Bandyopadhyay, Antar, Aldous, David J. (2001)
Electronic Communications in Probability [electronic only]
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Mariusz Górajski (2009)
Annales UMCS, Mathematica
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In this paper we consider an absorbing Markov chain with finite number of states. We focus especially on random walk on transient states. We present a graph reduction method and prove its validity. Using this method we build algorithms which allow us to determine the distribution of time to absorption, in particular we compute its moments and the probability of absorption. The main idea used in the proofs consists in observing a nondecreasing sequence of stopping times. Random walk on...
Marius Losifescu (1979)
Banach Center Publications
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Guillotin, N. (1999)
Electronic Communications in Probability [electronic only]
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Kalashnikov, Vladimir V. (1994)
Journal of Applied Mathematics and Stochastic Analysis
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Takacs, Christiane (2006)
Mathematica Pannonica
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Franco Giannessi (2002)
RAIRO - Operations Research - Recherche Opérationnelle
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A problem (arisen from applications to networks) is posed about the principal minors of the matrix of transition probabilities of a Markov chain.
Piotr Pokarowski (1999)
Applicationes Mathematicae
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This paper is devoted to computational problems related to Markov chains (MC) on a finite state space. We present formulas and bounds for characteristics of MCs using directed forest expansions given by the Matrix Tree Theorem. These results are applied to analysis of direct methods for solving systems of linear equations, aggregation algorithms for nearly completely decomposable MCs and the Markov chain Monte Carlo procedures.
O. Adelman (1976)
Annales scientifiques de l'Université de Clermont. Mathématiques
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E. Nummelin, R. L. Tweedie (1976)
Annales scientifiques de l'Université de Clermont. Mathématiques
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