Various types of censoring schemes basically type-I and type-II censoring schemes and their modified versions are used in life testing experiments. Most of the tests used in life testing experiments are based on a single sample. A joint censoring scheme is quite useful in conducting comparative life tests of products from different units within the same facility. In this article, we consider two exponential life time models under joint multiply type-II censoring scheme, which is a generalization of usual type-II censoring scheme, implemented on the two samples. We have considered maximum likelihood estimation and Bayesian estimation for estimating the reliability of the product under such a censoring scheme. The results are compared with the results obtained under usual type-II censoring scheme. In Bayes estimation the effect of prior parameters on mean life time and reliability of the product is discussed. We have used the local influence approach for identifying observations that strike a disproportionate effect in the maximum likelihood estimate of the reliability in the model. The life time data set of air-conditioning systems of two Boeing 720 jet airplanes “7914” and “7913” are used to apply the theory developed in the paper.

中文翻译：

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联合乘法II型删失下两个指数寿命模型的估计

各种类型的删失方案基本上是I型和II型删失方案及其修改版本用于寿命测试实验。寿命测试实验中使用的大多数测试都基于单个样本。联合审查方案在对同一设施内不同单元的产品进行比较寿命测试时非常有用。在本文中，我们考虑在联合乘法 II 型删失方案下的两个指数寿命模型，这是对两个样本实施的通常 II 型删失方案的推广。我们已经考虑了最大似然估计和贝叶斯估计来估计这种审查方案下产品的可靠性。将结果与在通常的 II 类删失方案下获得的结果进行比较。在贝叶斯估计中，讨论了先验参数对产品平均寿命和可靠性的影响。我们已经使用局部影响方法来识别在模型可靠性的最大似然估计中产生不成比例影响的观察结果。使用两架波音 720 喷气式飞机“7914”和“7913”的空调系统寿命数据集来应用本文开发的理论。