A Mixture Model of Two Bivariate Weibull Distributions

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

References

1. Funda Erdugan Kırıkkale University [e-mail]
2. Murat Erişoğlu Necmettin Erbakan University [e-mail]
3. Tayfun Servi Adıyaman University [e-mail]