The Exponentiated Hypoexponential Distribution

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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Publication Details

Journal
Journal of Statistical Theory and Applications
Published
2026-03-24
DOI
https://doi.org/10.1007/s44199-026-00166-x
Primary Topic
Statistical Distribution Estimation and Applications
Type
article
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article

The Exponentiated Hypoexponential Distribution

Journal of Statistical Theory and Applications
Statistical Distribution Estimation and Applications
article

The Exponentiated Hypoexponential Distribution

article en

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.

Journal of Statistical Theory and ApplicationsVol. 25(1)
Beirut Arab University (LB), Lebanese American University (LB), Northwestern Polytechnic University (US)
Openalex Percentile: Top 16%
Statistical Distribution Estimation and Applications
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The Exponentiated Hypoexponential Distribution · Journal of Statistical Theory and Applications (2026) | TGRS Research Map | TGRS