- Gazi University Journal of Science
- Vol: 31 Issue: 2
- A Mixture Model of Two Bivariate Weibull Distributions
A Mixture Model of Two Bivariate Weibull Distributions
Authors : Ayça Hatice TÜRKAN, Nazif ÇALIŞ
Pages : 643-658
View : 7 | Download : 3
Publication Date : 2018-06-01
Article Type : Research
Abstract :In this paper, we propose a mixture model containing bivariate Weibull distributions—the Marshall-Olkin bivariate Weibull (MOBW) and the Block-Basu bivariate Weibull (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 (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