Ayça Hatice TÜRKAN, Nazif ÇALIŞ

104109

A Mixture Model of Two Bivariate Weibull Distributions

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,

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  • Funda Erdugan Kırıkkale University ferdugan@gmail.com
  • Murat Erişoğlu Necmettin Erbakan University merisoglu@konya.edu.tr
  • Tayfun Servi Adıyaman University tservi@yahoo.com
Gazi University Journal of Science-Cover
  • Yayın Aralığı: 4
  • Başlangıç: 1988
  • Yayıncı: Gazi Üniversitesi, Fen Bilimleri Enstitüsü
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