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The polynomial-exponential distribution: a continuous probability model allowing for occurrence of zero values.

Authors :
Chesneau, Christophe
Bakouch, Hassan S.
Ramos, Pedro L.
Louzada, Francisco
Source :
Communications in Statistics: Simulation & Computation. 2022, Vol. 51 Issue 8, p4581-4606. 26p.
Publication Year :
2022

Abstract

This paper deals with a new two-parameter lifetime distribution with increasing, decreasing and constant hazard rate. This distribution allows the occurrence of zero values and involves the exponential, linear exponential and other combinations of Weibull distributions as submodels. Many statistical properties of the distribution are derived. Maximum likelihood estimation of the parameters and a bias corrective approach is investigated with a simulation study for performance of the estimators. Four real data sets are analyzed for illustrative purposes and it is noted that the distribution is a highly alternative to the gamma, Weibull, Lognormal and exponentiated exponential distributions. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
03610918
Volume :
51
Issue :
8
Database :
Academic Search Index
Journal :
Communications in Statistics: Simulation & Computation
Publication Type :
Academic Journal
Accession number :
158633376
Full Text :
https://doi.org/10.1080/03610918.2020.1746339