Parameters estimation for mixed generalized inverted exponential distributions with type-II progressive hybrid censoring

Authors : Yuzhu TİAN, Aijun YANG, Erqian Lİ, Maozai TİAN

Pages : 1023-1039

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Publication Date : 2018-08-01

Article Type : Research Paper

Abstract :The type-II progressive hybrid censoring scheme, which is a mixture of type-II progressive and hybrid censoring schemes, has become substantially fashionable due to its flexibility of allowing for random removals of the remaining survival units at each failure time and terminating the experiment at a pre-specied time. In the literature, this censoring scheme has been used to analyze lifetime data for general population distributions such as exponential distributions and Weibull distributions. However, we seldom focus on parameter estimations for the mixture distribution, which is an important class of models in reliability analysis. This paper aims to investigate the estimation problem of mixed generalized inverted exponential distribution insert ignore into journalissuearticles values(MGIED); under the type-II progressive hybrid censoring scheme. The maximum likelihood estimators insert ignore into journalissuearticles values(MLEs); of the model are obtained via EM algorithm. Some simulations are implemented and a case of analysis is provided to illustrate the proposed method.
Keywords : Type II progressive hybrid censoring, Mixed generalized inverted exponential distribution MGIED, EM algorithm