Counting the number of renewals during a random interval in a discrete-time delayed renewal process

Counting the number of renewals during a random interval in a discrete-time delayed renewal process

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Article ID: iaor20073066
Country: Netherlands
Volume: 35
Issue: 1
Start Page Number: 119
End Page Number: 124
Publication Date: Jan 2007
Journal: Operations Research Letters
Authors: ,
Keywords: renewal processes
Abstract:

In a discrete-time delayed renewal process, we study the distribution of the number of renewals during a random interval. We obtain closed-form expressions for the probability mass function and binomial moments of this number for various distributions of the random interval and interrenewal times.

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