Markov chains with quasi-Toeplitz transition matrix: Applications.
Dukhovny, A.M. (1990)
Journal of Applied Mathematics and Stochastic Analysis
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Dukhovny, A.M. (1990)
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.
Hunter, Jeffrey J. (1991)
Journal of Applied Mathematics and Stochastic Analysis
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Dudin, Alexander N., Klimenok, Valentina I. (1999)
Journal of Applied Mathematics and Stochastic Analysis
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Laurent Truffet (2003)
Kybernetika
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In this paper we are exploiting some similarities between Markov and Bellman processes and we introduce the main concepts of the paper: comparison of performance measures, and monotonicity of Bellman chains. These concepts are used to establish the main result of this paper dealing with comparison of Bellman chains.
Marius Losifescu (1979)
Banach Center Publications
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Kalashnikov, Vladimir V. (1994)
Journal of Applied Mathematics and Stochastic Analysis
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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.