Exponentiated Extended Weibull-Power Series Class of Distributions

TL;DR

This paper introduces a new flexible class of lifetime distributions by combining the exponentiated extended Weibull and power series families, providing a unified framework with various special cases and properties.

Contribution

It proposes a novel distribution class that unifies multiple lifetime models and derives their statistical properties and estimation procedures.

Findings

Includes several well-known lifetime models as special cases

Provides explicit formulas for entropy, moments, and hazard functions

Develops an EM-algorithm for parameter estimation

Abstract

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 modified Weibull-power series, generalized Gompertz-power series and exponentiated extended Weibull 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.