Semi-Markov and reward fields

A.R. Soltani and H. Ghasemi

Statistics & Probability Letters, 2014, vol. 95, issue C, 71-76

Abstract: We introduce semi-Markov fields and provide formulations for the basic terms in the semi-Markov theory. In particular we define and consider a class of associated reward fields. Then we present a formula for the expected reward at any multidimensional time epoch. The formula is indeed new even for the classical semi-Markov processes. It gives the expected cumulative reward for fairly large classes of reward functions; in particular, it provides the formulas for the expected cumulative reward given in Masuda and Sumitau (1991), Soltani (1996) and Soltani and Khorshidian (1998).

Keywords: Markov renewal fields; Markov renewal sequences; Semi Markov fields; Reward fields; Expected reward fields (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spl.2014.08.012

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