Computing the Distribution Function of the Number of Renewals

Mohan L. Chaudhry, Xiaofeng Yang, Boon Ong

Department of Mathematics and Computer Science, Royal Military College of Canada, Kingston, Canada.

DOI: 10.4236/ajor.2013.33035                

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.

Keywords

Number of Renewals; Rational Approximation; Padé

Conflicts of Interest

The authors declare no conflicts of interest.

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