Markov chain comparison.
Dyer, Martin, Goldberg, Leslie Ann, Jerrum, Mark, Martin, Russell (2006)
Probability Surveys [electronic only]
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Dyer, Martin, Goldberg, Leslie Ann, Jerrum, Mark, Martin, Russell (2006)
Probability Surveys [electronic only]
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Hunter, Jeffrey J. (1991)
Journal of Applied Mathematics and Stochastic Analysis
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Abolnikov, Lev, Dukhovny, Alexander (1991)
Journal of Applied Mathematics and Stochastic Analysis
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Keilson, Julian (1998)
Journal of Applied Mathematics and Stochastic Analysis
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Takacs, Christiane (2006)
Mathematica Pannonica
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Häggström, Olle, Rosenthal, Jeffrey S. (2007)
Electronic Communications in Probability [electronic only]
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Jones, Galin L. (2004)
Probability Surveys [electronic only]
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Gani, J. (1998)
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.
Ball, Frank G., Milne, Robin K., Yeo, Geoffrey F. (2007)
Journal of Applied Mathematics and Decision Sciences
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Keilson, J., Vasicek, O.A. (1998)
Journal of Applied Mathematics and Stochastic Analysis
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