Title

The Distribution Of The Sum Of Independent Product Of Bernoulu And Exponential

Keywords

Bernoulli and exponential; Dirac delta.; Reliability models; Survival

Abstract

The product of the independent Bernoulli and exponential random variables (rv's), has received great attention in recent literature, in particular because of its applications in network traffic, computer communications, and health sciences. Hoxoever, the behavior of the sum of such independent rvs has not been fully explored. In this article, we present the probability density function (PDF) of tlie product of exponential and Bernoulli sum as a mixture of two types of distribution functions: the Dirac delta and gamma type distributions. The statistical properties of the sum, such as its survival function, moment generating function, and Laplace transform are derived. © Taylor & Francis Group, LLC.

Publication Date

8-26-2013

Publication Title

American Journal of Mathematical and Management Sciences

Volume

32

Issue

1

Number of Pages

75-89

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1080/01966324.2013.791506

Socpus ID

84882299648 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84882299648

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