Renewal sequences with periodic dynamics
type: Item
instance of: scholarly article
zbMATH Open document ID: 1251.60068
DOI: 10.1017/S0269964811000209
author: Brian Fralix
author: James Livsey
author: Robert Lund
published in: Probability in the Engineering and Informational Sciences
publication date: 2012-06-27T00:00:00Z
Mathematics Subject Classification ID: 60K05
zbMATH DE Number: 6050839
MaRDI profile type: Publication
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title: Renewal sequences with periodic dynamics
review text: A periodic version of classical discrete-time renewal sequences is considered, where the period \(T\) of the process is fixed and known. Compared with an ordinary renewal process, in the present case, for a renewal occurring at time \(t\), the time until the next renewal is allowed to depend on the season corresponding to time \(t\). The article presents recursions that enable rapid computation of the renewal probabilities. Moreover, limiting aspects of periodic renewal sequences are studied. As an application, an autocorrelated periodic count model having binomial marginal distributions is constructed.
reviewed by: Kurt Marti
description: scientific article; zbMATH DE number 6050839