European Journal of Statistics and Probability (EJSP)

EA Journals

ON THE SUM OF EXPONENTIALLY DISTRIBUTED RANDOM VARIABLES: A CONVOLUTION APPROACH

Oguntunde P.E, Odetunmibi O.A., Adejumo, A. O

Abstract

In this paper, Exponential distribution as the only continuous statistical distribution that exhibits the memoryless property is being explored by deriving another two-parameter model representing the sum of two independent exponentially distributed random variables, investigating its statistical properties and verifying the memoryless property of the resulting model.

Keywords: Convolution, Cumulant, Exponential, Hazard, Independent, Memoryless

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Email ID: submission@ea-journals.org
Impact Factor: 6.90
Print ISSN: 2055-0154
Online ISSN: 2055-0162
DOI: https://doi.org/10.37745/ejsp.2013

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