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Computing the Distribution Function of the Number of Renewals

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Author(s): Mohan L. Chaudhry | Xiaofeng Yang | Boon Ong

Journal: American Journal of Operations Research
ISSN 2160-8830

Volume: 03;
Issue: 03;
Start page: 380;
Date: 2013;
Original page

Keywords: Number of Renewals | Rational Approximation | Padé

ABSTRACT
The method of Laplace transforms is used to find the distribution function, mean, and variance of the number of renewals of a renewal process whose inter-arrival time distribution has a rational Laplace transform. Where the Laplace transform is not rational, we use the Padé approximation method. We apply our method to certain examples and the results are compared to those reported by other researchers.
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