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RENEWAL SEQUENCES WITH PERIODIC DYNAMICS
Published online by Cambridge University Press: 25 November 2011
Abstract
Discrete-time renewal sequences play a fundamental role in the theory of stochastic processes. This article considers periodic versions of such processes; specifically, the length of an interrenewal is allowed to probabilistically depend on the season at which it began. Using only elementary renewal and Markov chain techniques, computational and limiting aspects of periodic renewal sequences are investigated. We use these results to construct a time series model for a periodically stationary sequence of integer counts.
- Type
- Research Article
- Information
- Probability in the Engineering and Informational Sciences , Volume 26 , Issue 1 , January 2012 , pp. 1 - 15
- Copyright
- Copyright © Cambridge University Press 2011
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