The Exponentiated Hypoexponential Distribution

Anass Nassabein; Therar Kadri; Seifedine Kadry; Khaled Smaili

doi:10.1007/s44199-026-00166-x

The Exponentiated Hypoexponential Distribution

Anass Nassabein
, Therar Kadri
, Seifedine Kadry
, Khaled Smaili

Lebanese International University
Northwestern Polytechnic
Lebanese American University
Beirut Arab University

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we study the Exponentiated Hypoexponential Distribution with different parameters. The distribution added a parameter to the n parameters of the Hypoexponenial distribution. We first derive a closed expression of the probability density function and the cumulative distribution function of Maximum Exponentiated Exponential distribution. These functions are used to determine an exact expression of the probability density function, the cumulative function, reliability function, and hazard function of our Exponentiated Hypoexponential Distribution. We discuss estimation of the parameters by maximum likelihood estimators. The distribution has been fitted to a real life data set and the fit has been found to be a serious competitor to the others.

Original language	English
Article number	18
Journal	Journal of Statistical Theory and Applications
Volume	25
Issue number	1
DOIs	https://doi.org/10.1007/s44199-026-00166-x
State	Published - Dec 2026
Externally published	Yes

Keywords

Exponentiated exponential distribution
Exponentiated hypoexponential distribution
Maximum likelihood estimation

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10.1007/s44199-026-00166-x

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abstract = "In this paper we study the Exponentiated Hypoexponential Distribution with different parameters. The distribution added a parameter to the n parameters of the Hypoexponenial distribution. We first derive a closed expression of the probability density function and the cumulative distribution function of Maximum Exponentiated Exponential distribution. These functions are used to determine an exact expression of the probability density function, the cumulative function, reliability function, and hazard function of our Exponentiated Hypoexponential Distribution. We discuss estimation of the parameters by maximum likelihood estimators. The distribution has been fitted to a real life data set and the fit has been found to be a serious competitor to the others.",

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T1 - The Exponentiated Hypoexponential Distribution

AU - Nassabein, Anass

AU - Kadri, Therar

AU - Kadry, Seifedine

AU - Smaili, Khaled

N1 - Publisher Copyright: © The Author(s) 2026.

PY - 2026/12

Y1 - 2026/12

N2 - In this paper we study the Exponentiated Hypoexponential Distribution with different parameters. The distribution added a parameter to the n parameters of the Hypoexponenial distribution. We first derive a closed expression of the probability density function and the cumulative distribution function of Maximum Exponentiated Exponential distribution. These functions are used to determine an exact expression of the probability density function, the cumulative function, reliability function, and hazard function of our Exponentiated Hypoexponential Distribution. We discuss estimation of the parameters by maximum likelihood estimators. The distribution has been fitted to a real life data set and the fit has been found to be a serious competitor to the others.

AB - In this paper we study the Exponentiated Hypoexponential Distribution with different parameters. The distribution added a parameter to the n parameters of the Hypoexponenial distribution. We first derive a closed expression of the probability density function and the cumulative distribution function of Maximum Exponentiated Exponential distribution. These functions are used to determine an exact expression of the probability density function, the cumulative function, reliability function, and hazard function of our Exponentiated Hypoexponential Distribution. We discuss estimation of the parameters by maximum likelihood estimators. The distribution has been fitted to a real life data set and the fit has been found to be a serious competitor to the others.

KW - Exponentiated exponential distribution

KW - Exponentiated hypoexponential distribution

KW - Maximum likelihood estimation

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DO - 10.1007/s44199-026-00166-x

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VL - 25

JO - Journal of Statistical Theory and Applications

JF - Journal of Statistical Theory and Applications

IS - 1

M1 - 18

ER -

The Exponentiated Hypoexponential Distribution

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Keywords

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