On Bivariate Exponentiated Extended Weibull Family of Distributions

• Main Author: Roozegar, Rasool
• Publication Date: 2016
• Other Authors: Jafari, Ali Akbar
• Format: Article
• Language: eng
• Source: Revista Ciência e Natura (Online)
• Download full: https://periodicos.ufsm.br/cienciaenatura/article/view/19496
• topic: Bivariate exponentiated extended Weibull distribution. Joint probability density function. EM-algorithm. Maximum likelihood estimation.; Bivariate exponentiated extended Weibull distribution. Joint probability density function. EM-algorithm. Maximum likelihood estimation.

In this paper, we introduce a new class of distributions by compounding the exponentiated extended Weibull family and power series family. This distribution contains several lifetime models such as the complementary extended Weibull-power series, generalized exponential-power series, generalized linear failure rate-power series, exponentiated Weibull-power series, generalized modifiedWeibull-power series, generalized Gompertz-power series and exponentiated extendedWeibull distributions as special cases. We obtain several properties of this new class of distributions such as Shannon entropy, mean residual life, hazard rate function, quantiles and moments. The maximum likelihood estimation procedure via a EM-algorithm is presented.