Pooling shrinkage estimator of reliability for exponential failure model using the sampling plan (n, C, T)
Pooling shrinkage estimator of reliability for exponential failure model using the sampling plan (n, C, T)
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发表时间：
2011-06
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通讯作者：
Z. Al-Hemyari;A. K. Jehel
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作者：
Z. Al-Hemyari;A. K. Jehel
在失效模型参数估计中，最重要的问题之一是实验抽样单元的成本。通过利用任何有关θ的先验信息，并设计一个两阶段合并收缩估计程序，可以降低该成本。当过去有关于未知参数（θ）的先验值时，我们利用两阶段定时截尾数据提出了指数模型可靠性函数（R(t)）的一个估计量。为了比较所提出的估计量与经典估计量的性能，针对所提出的估计量（R(t)）中涉及的常数变化，对偏差、均方误差、相对效率、期望样本量以及节省的总样本量百分比表达式进行了大量计算机计算。
One of the most important problems in the estimation of the parameter of the failure model, is the cost of experimental sampling units, which can be reduced by using any prior information available about θ , and devising a two-stage pooling shrunken estimation procedure. We have proposed an estimator of the reliability function ( R(t) ) of the exponential model using two-stage time censored data when a prior value about the unknown parameter (θ ) is available from the past. To compare the performance of the proposed estimator with the classical estimator, computer intensive calculations for bias, mean squared error, relative efficiency, expected sample size and percentage of the overall sample size saved expressions, were done for varying the constants involved in the proposed estimator ( R (t) ).