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

Author(s)

Chesneau, Christophe ; Bakouch, Hassan S. ; Ramos, Pedro L. ; Louzada, Francisco

• Document type: Journal article
• Source: COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION; v. 51, n. 8, p. 26-pg., 2020-03-31.

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 Opportunities: Scholarships in Brazil - Post-Doctoral