A Mixture Model of Two Bivariate Weibull Distributions

Authors : Ayça Hatice TÜRKAN, Nazif ÇALIŞ

Pages : 643-658

View : 20 | Download : 14

Publication Date : 2018-06-01

Article Type : Research Paper

Abstract :In this paper, we propose a mixture model containing bivariate Weibull distributions—the Marshall-Olkin bivariate Weibull insert ignore into journalissuearticles values(MOBW); and the Block-Basu bivariate Weibull insert ignore into journalissuearticles values(BBBW);—because each of these distributions alone is inadequate for explaining a data set when certain special situations occur in bivariate lifetime data sets. We refer to the proposed model as Mix_BW. To estimate the model parameters, we use the expectation-maximisation insert ignore into journalissuearticles values(EM); algorithm in an adapted form we term the Mix_EM algorithm. We provide illustrative examples with real and simulated data sets to demonstrate the applicability of the proposed Mix_BW model.
Keywords : Block Basu bivariate Weibull BBBW, Marshall Olkin bivariate Weibull MOBW, Maximum Likelihood Estimation, Mixture distribution model