A Modified-Form Expressions for the Hypoexponential Distribution
Khaled Smaili, Therrar Kadri, Seifedine Kadry
Journal of Advances in Mathematics and Computer Science · pp. 322–332 · Published 28 Oct 2013
10.9734/BJMCS/2014/6317Abstract
The Hypoexponential distribution is the distribution of the sum of m≥2 independent Exponential random variables. This distribution is used in modeling multiple exponential stages in series. This distribution can be used in many domains of application. In this paper we find a modified and simple form of the probability density function for the general case of the Hypoexponential distribution when its parameters do not have to be distinct. This modified form is found by writing the probability density function of this distribution as a linear combination of the probability density function of the known Erlang distribution. Also, this modified form generates a simple form of the cummulative distribution function, moment generating function, reliability function, hazard function, and moment of order k for the general case of the Hypoexponential distribution. Moreover, new identities are established. Finally, we consider the coefficients of this linear combination and propose an algorithm to compute them.
Cited by 21
Therrar Kadri, Khaled Smaili · Journal of Advances in Mathematics and Computer Science · 2014
Kim-Hung Li, Cheuk Ting Li · Methodology and Computing in Applied Probability · 2018
Seifedine Kadry, Venkatesan Rajinikanth · Jurnal Ilmiah Teknik Elektro Komputer dan Informatika · 2021
T. Kadri, K. Smaili · International Journal of Pure and Apllied Mathematics · 2015
Abate Sewagegn, Michal Dorda · Applied Sciences · 2025
Therrar Kadri, Khaled Smaili, Seifedine Kadry · Numerical Methods for Reliability and Safety Assessment · 2014
Seifedine Kadry, Venkatesan Rajinikanth · Jurnal Ilmiah Teknik Elektro Komputer dan Informatika · 2021
Jinhyun Park, Jae Hong Lee · IEEE Transactions on Communications · 2017
Therrar Kadri, Yara Ghannam · Applied Mathematics · 2023
Khaled Smaili, Therrar Kadri, Seifedine Kadry · Communications in Statistics - Theory and Methods · 2015
Showing 11 of 21 known citations — external sources report more than can currently be individually listed.
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