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The minimal solution of a Markov renewal equation
Authors:Haiyan Cai
Institution:(1) Department of Mathematics and Computer Science, University of Missouri-St. Louis, 63121-4499 St. Louis, Missouri
Abstract:Given a killed Markov process, one can use a procedure of Ikedaet al. to revive the process at the killing times. The revived process is again a Markov process and its transition function is the minimal solution of a Markov renewal equation. In this paper we will calculate such solutions for a class of revived processes.
Keywords:Markov process  killing time  renewal equation
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