On Bivariate Exponentiated Extended Weibull Family of Distributions

摘要

In this paper, we introduce a new class of bivariate distributions called thebivariate exponentiated extended Weibull distributions. The model introducedhere is of Marshall-Olkin type. This new class of bivariate distributionscontains several bivariate lifetime models. Some mathematical properties of thenew class of distributions are studied. We provide the joint and conditionaldensity functions, the joint cumulative distribution function and the jointsurvival function. Special bivariate distributions are investigated in somedetail. The maximum likelihood estimators are obtained using the EM algorithm.We illustrate the usefulness of the new class by means of application to tworeal data sets.