On Bivariate Exponentiated Extended Weibull Family of Distributions

TL;DR

This paper introduces a new bivariate distribution class based on the exponentiated extended Weibull family, extending lifetime modeling capabilities with mathematical properties, estimation methods, and real data applications.

Contribution

It proposes a novel bivariate distribution class of Marshall-Olkin type with comprehensive properties and estimation techniques, expanding existing lifetime models.

Findings

Derived joint and conditional density functions

Developed maximum likelihood estimators via EM algorithm

Applied to real datasets demonstrating practical usefulness

Abstract

In this paper, we introduce a new class of bivariate distributions called the bivariate exponentiated extended Weibull distributions. The model introduced here is of Marshall-Olkin type. This new class of bivariate distributions contains several bivariate lifetime models. Some mathematical properties of the new class of distributions are studied. We provide the joint and conditional density functions, the joint cumulative distribution function and the joint survival function. Special bivariate distributions are investigated in some detail. The maximum likelihood estimators are obtained using the EM algorithm. We illustrate the usefulness of the new class by means of application to two real data sets.