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E-Bayesian estimation for the proportional hazard rate model based on record values

机译:基于记录值的比例风险率模型的E-贝叶斯估计

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In this article, a new parameter estimation method, named E-Bayesian method, is considered to obtain the estimates of the unknown parameter and reliability function based on record values. The maximum likelihood, Bayesian, E-Bayesian, and hierarchical Bayesian estimates of the unknown parameter and reliability function are obtained when the underlying distribution belongs to the proportional hazard rate model. The Bayesian estimates are obtained based on squared error and linear-exponential loss functions. The previously obtained some relations for the E-Bayesian estimates are improved. The relationship between E-Bayesian and hierarchical Bayesian estimations are obtained under the same loss functions. The comparison of the derived estimates are carried out by using Monte Carlo simulations. Real data are analyzed for an illustration of the findings.
机译:本文考虑了一种新的参数估计方法,称为E-贝叶斯方法,用于基于记录值获得未知参数和可靠性函数的估计。当基础分布属于比例风险率模型时,可以获得未知参数和可靠性函数的最大似然,贝叶斯,E-贝叶斯和分层贝叶斯估计。贝叶斯估计是基于平方误差和线性指数损失函数获得的。先前获得的一些关系对于E-贝叶斯估计得到了改善。在相同的损失函数下,可以获得E-贝叶斯估计与分层贝叶斯估计之间的关系。导出的估计值的比较通过使用蒙特卡洛模拟进行。分析实际数据以说明发现。

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