Recent work on Pitman closeness has compared estimators under Type-II censored samples from an exponential distribution. More recently, a comparison was done for Type-I censored data wherein two estimators based on two different censoring times were compared in their estimation of θ under Pitman closeness. Extending such a comparison, one may consider alternate comparisons under Type-I hybrid censoring. In this paper, we consider the comparison of three associated estimators based on three hybrid censored samples and carry out the analogous Pitman closeness comparisons. Formulas are derived for the suitable Pitman closeness probabilities and numerical results are tabulated for a variety of settings. While most of the tabulated probabilities agree with an intuition that the estimator based on larger termination time should be Pitman closer, exceptions are found.

中文翻译：

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来自指数分布的 Type-I 混合删失数据的 Pitman 接近度结果

最近关于 Pitman 接近度的工作比较了来自指数分布的 Type-II 删失样本下的估计量。最近，对 I 型删失数据进行了比较，其中比较了基于两个不同删失时间的两个估计量在 Pitman 接近度下对 θ 的估计。扩展这种比较，可以考虑在 I 型混合审查下进行替代比较。在本文中，我们考虑了基于三个混合删失样本的三个相关估计量的比较，并进行了类似的 Pitman 接近度比较。推导出合适的 Pitman 接近概率的公式，并列出了各种设置的数值结果。虽然大多数列表概率都符合直觉，即基于较大终止时间的估计量应该更接近 Pitman，