The Q-matrix problem
David Williams (1976)
Séminaire de probabilités de Strasbourg
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David Williams (1976)
Séminaire de probabilités de Strasbourg
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David Williams (1978)
Séminaire de probabilités de Strasbourg
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Kalashnikov, Vladimir V. (1994)
Journal of Applied Mathematics and Stochastic Analysis
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Marius Losifescu (1979)
Banach Center Publications
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Takacs, Christiane (2006)
Mathematica Pannonica
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Zbyněk Šidák (1964)
Czechoslovak Mathematical Journal
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Guillotin, N. (1999)
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...