ON THE PRODUCT OF TWO HYPOEXPONENTIAL RANDOM VARIABLES

Authors

Therrar Kadri, Faculty of Sciences, Lebanese International University, LebanonFollow
Khaled Smaili, Faculty of Sciences, Lebanese University, Zahle, LebanonFollow
Seifedine Kadry, Associate Professor, Faculty of Science, Beirut Arab University, Beirut, LebanonFollow
Ali El-Joubbeh, Faculty of Sciences, Lebanese University, Zahle, LebanonFollow

Keywords

Product Distribution, Hypoexponential Distribution; K Distribution; Probability Density Function; Reliability Function.

Disciplines

Architecture | Business | Engineering | Physical Sciences and Mathematics

Abstract

In this paper, we consider the product of two independent Hypoexponential distributions which has many applications in sciences and engineering. We find analytically the probability density function, the cumulative distribution function, moment generating function, the reliability function and hazard function, which was proved to be a linear combination of the K distribution. Finally, we will apply our results application in stochastic PERT Network.

Recommended Citation

Kadri, Therrar; Smaili, Khaled; Kadry, Seifedine; and El-Joubbeh, Ali (2019) "ON THE PRODUCT OF TWO HYPOEXPONENTIAL RANDOM VARIABLES," BAU Journal - Science and Technology: Vol. 1: Iss. 1, Article 7.
DOI: https://doi.org/10.54729/2959-331X.1008

ISSN

2959-331X