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Periodicity in Markov Renewal Theory
Stanford University. Department of Operations Research
E. Cinlar
Stanford University. Applied Mathematics and Statistics Laboratory
出版
Stanford University. Department of Operations Research/Department of Statistics
, 1972
URL
http://books.google.com.hk/books?id=stEEAAAAIAAJ&hl=&source=gbs_api
註釋
In an irreducible Markov renewal process either all states are periodic or none are. In the former case they all have the same period. Periodicity and the period can be determined by direct inspection from the semi-Markov kernel defining the process. The periodicity considerably increases the complexity of the limits in Markov renewal theory especially for transient initial states. Two Markov renewal limit theorems are given with particular attention to the roles of periodicity and transient states. The results are applied to semi-Markov and semi-regenerative processes. (Author).