In statistical quality control, decision-theoretic approach draws a significant amount of attention due to its economic considerations. In reliability life testing, decision-theoretic approach has been used quite extensively under different censoring schemes. All these implementations are based on single sample of products coming from a particular source. In this work we study decision-theoretic approach on two sample of products coming from two different sources under a joint censoring scheme when the life times are exponentially distributed. The major advantage of such implementation is to take decision on the acceptance or rejection of one or both the batches in a single life testing experiment. Decision making is performed based on minimizing the Bayes risk with respect to a given loss function. It is observed that under certain set-ups, the joint censoring scheme is preferable over the two separate single sample censoring schemes in decision making.

中文翻译：

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联合删失方案下两个指数分布的最优决策理论抽样方案

在统计质量控制中，决策理论方法因其经济方面的考虑而备受关注。在可靠性寿命测试中，决策理论方法在不同的审查方案下得到了相当广泛的使用。所有这些实现都基于来自特定来源的单个产品样本。在这项工作中，当生命时间呈指数分布时，我们在联合审查方案下研究了来自两个不同来源的两个产品样本的决策理论方法。这种实施的主要优点是在单次寿命测试实验中决定接受或拒绝一个或两个批次。决策是基于最小化给定损失函数的贝叶斯风险来执行的。据观察，在某些设置下，