论文标题

统计推断和II统一统一混合审查计划下的贝叶斯最佳生命测试计划

Statistical inference and Bayesian optimal life-testing plans under Type-II unified hybrid censoring scheme

论文作者

Sen, Tanmay, Bhattacharya, Ritwik, Pradhan, Biswabrata, Tripathi, Yogesh Mani

论文摘要

本文介绍了II统一的混合审查计划下的推论程序和贝叶斯最佳的生命测试问题。首先,得出了基础寿命模型未知参数的预期故障数量,预期的测试持续时间和Fisher信息矩阵的明确表达。然后,使用这些数量,在随后的部分中计算了贝叶斯最佳的生命测试计划。成本限制D-最佳优化问题已经提出,并提供了相应的解决方案算法以获得最佳计划。通过数值示例说明了计算程序。

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 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.

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