SciELO - Scientific Electronic Library Online

 
vol.90 issue3The Lindley Weibull Distribution: properties and applications author indexsubject indexarticles search
Home Pagealphabetic serial listing  

Services on Demand

Journal

Article

Indicators

Related links

Share


Anais da Academia Brasileira de Ciências

Print version ISSN 0001-3765On-line version ISSN 1678-2690

Abstract

PENA-RAMIREZ, FERNANDO A.; GUERRA, RENATA R.; CORDEIRO, GAUSS M.  and  MARINHO, PEDRO R.D.. The Exponentiated Power Generalized Weibull: Properties and Applications. An. Acad. Bras. Ciênc. [online]. 2018, vol.90, n.3, pp.2553-2577. ISSN 0001-3765.  https://doi.org/10.1590/0001-3765201820170423.

We propose a new lifetime model called the exponentiated power generalized Weibull (EPGW) distribution, which is obtained from the exponentiated family applied to the power generalized Weibull (PGW) distribution. It can also be derived from a power transform on an exponentiated Nadarajah-Haghighi random variable. Since several structural properties of the PGW distribution have not been studied, they can be obtained from those of the EPGW distribution. The model is very flexible for modeling all common types of hazard rate functions. It is a very competitive model to the well-known Weibull, exponentiated exponential and exponentiated Weibull distributions, among others. We also give a physical motivation for the new distribution if the power parameter is an integer. Some of its mathematical properties are investigated. We discuss estimation of the model parameters by maximum likelihood and provide two applications to real data. A simulation study is performed in order to examine the accuracy of the maximum likelihood estimators of the model parameters.

Keywords : Exponential distribution; lifetime data; Nadarajah-Haghighi distribution; power generalized Weibull distribution; survival function.

        · text in English     · English ( pdf )