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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

A Comparative Analysis on the Performance of the Convoluted Exponential Distribution and the Exponential Distribution in Terms of Flexibility

Enahoro Alfred Owoloko1, Pelumi Emmanuel Oguntunde1 and Adebowale Olusola Adejumo2
  • 1 Covenant University, Nigeria
  • 2 University of Ilorin, Nigeria

Abstract

In this article, the convoluted exponential distribution which was derived as the sum of two independent exponentially distributed random variables was compared with the exponential distribution in terms of flexibility when applied to four real data sets. The idea is to verify if the convoluted exponential distribution would perform better than the exponential distribution in modeling real life situations. Some other basic statistical properties of the convoluted exponential distribution were also identified.

Journal of Mathematics and Statistics
Volume 12 No. 1, 2016, 59-64

DOI: https://doi.org/10.3844/jmssp.2016.59.64

Submitted On: 1 September 2015 Published On: 15 April 2016

How to Cite: Owoloko, E. A., Oguntunde, P. E. & Adejumo, A. O. (2016). A Comparative Analysis on the Performance of the Convoluted Exponential Distribution and the Exponential Distribution in Terms of Flexibility. Journal of Mathematics and Statistics, 12(1), 59-64. https://doi.org/10.3844/jmssp.2016.59.64

Open AccessCopyright: © 2016 Enahoro Alfred Owoloko, Pelumi Emmanuel Oguntunde and Adebowale Olusola Adejumo. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Convolution
  • Distributions
  • Exponential
  • Properties