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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Chesneau, Christophe [1] ; Bakouch, Hassan S. [2] ; Ramos, Pedro L. [3] ; Louzada, Francisco [3]
Total Authors: 4
Affiliation:
[1] Univ Caen Basse Normandie LMNO, Dept Math, UFR Sci, Caen - France
[2] Tanta Univ, Fac Sci, Dept Math, Tanta - Egypt
[3] Univ Sao Paulo, Inst Math Sci & Comp, Sao Carlos - Brazil
Total Affiliations: 3
Document type: Journal article
Source: COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION; MAR 2020.
Web of Science Citations: 0
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. (AU)

FAPESP's process: 17/25971-0 - Statistical inference of complex systems
Grantee:Pedro Luiz Ramos
Support type: Scholarships in Brazil - Post-Doctorate