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Statistical inference and Bayesian optimal life‐testing plans under Type‐II unified hybrid censoring scheme
Quality and Reliability Engineering International ( IF 2.2 ) Pub Date : 2020-07-30 , DOI: 10.1002/qre.2721
Tanmay Sen 1 , Ritwik Bhattacharya 2 , Biswabrata Pradhan 3 , Yogesh Mani Tripathi 4
Affiliation  

This article describes the inferential procedures and Bayesian optimal life‐testing issues under Type‐II unified hybrid censoring scheme. First, the explicit expressions of expected number of failures, expected duration of testing, and Fisher information matrix for the unknown parameters of the underlying lifetime model are derived. Then, using these quantities, the Bayesian optimal life‐testing plans are computed in a subsequent section. A cost constraint D‐optimal optimization problem has been formulated, and the corresponding solution algorithm is provided to obtain optimal plans. Computational procedures are illustrated through numerical examples.

中文翻译:

II类统一混合检查方案下的统计推断和贝叶斯最优寿命测试计划

本文介绍了II类统一混合检查方案下的推理程序和贝叶斯最优寿命测试问题。首先,导出预期失效次数,预期测试持续时间以及基础寿命模型未知参数的Fisher信息矩阵的明确表达式。然后,使用这些数量,在随后的部分中计算贝叶斯最佳寿命测试计划。制定了成本约束D最优优化问题,并提供了相应的求解算法来获得最优计划。通过数值示例说明了计算过程。
更新日期:2020-07-30
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