Estimation of Generalized Inverted Exponential Distribution under Generalized Hybrid Censoring Scheme

نوع المستند : تجاریة کل ما یتعلق بالعلوم التجاریة

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قسم الإحصاء والتأمين كلية التجارة جامعة الزقازيق

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In this paper, we consider the estimation of the parameters of the generalized inverted exponential distribution when data are generalized hybrid type-I censored samples. The maximum likelihood estimators of the parameters and the confidence interval have been obtained. Additionally, the parameters have been estimated using the Bayesian method with the squared error loss function and linear-exponential loss function , considering a gamma prior and the corresponding posterior distributions , Bayes estimators of the unknown parameters cannot be calculated in closed forms . The Markov Chain Monte Carlo method, namely the Metropolis-Hastings algorithm, has been used to derive approximations for the simulation study. We achieve the highest posterior density (HPD) credible intervals. The proposed estimators in the maximum likelihood and Bayesian methods have been compared. Finally, a real data set has been analyzed for illustrative purposes.

Keywords Generalized inverted exponential distribution,Generalized hybrid type-I censored samples,Maximum likelihood estimation,Bayes estimation,Markov Chain Monte Carlo.

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