基于混合I型删失数据威布尔模型的可接受抽样计划
Acceptance Sampling Plans with Type-I Hybrid Censoring Scheme of Weibull Distribution
DOI: 10.12677/AAM.2014.34027, PDF,  被引量   
作者: 李嘉伟：中山大学，数学与计算科学学院，广州
关键词: 最大似然估计；混合I型删失；消费者风险；生产者风险；MLE； Type-I Hybrid Censoring； Consumer Risk； Producer Risk
摘要: 寿命是产品质量的一个重要指标。根据产品的寿命指标，用于确定产品的接受程度的可靠性试验，被称为可接受抽样计划。本文研究了基于混合I型删失数据的威布尔模型可接受抽样计划。首先，我们给出了威布尔分布尺度参数最大似然估计的精确分布。进而根据枢轴量的精确分布，在消费者与生产者风险可控的条件下，我们给出了可接受抽样计划的执行方法。最后为了展示本文的方法，我们给出了一些可接受抽样计划的数值模拟结果。
Abstract: Lifetime is an important quality variable of a product. Sampling plans used to determine the ac-ceptability of a product, with respect to its lifetime, are known as acceptance sampling plans. In this paper, we discuss acceptance sampling plans of Weibull distribution with considering the Type-I hybrid censoring schemes. Firstly, we give the exact conditional distribution of the maximum likelihood estimator (MLE) of the scale parameter. Secondly, using the exact distribution of a pivotal quantity, we establish an acceptance sampling procedure satisfying the producer and consumer risks. Finally, some numerical results are tabulated for illustration.
文章引用：李嘉伟. 基于混合I型删失数据威布尔模型的可接受抽样计划[J]. 应用数学进展, 2014, 3(4): 184-191. https://dx.doi.org/10.12677/AAM.2014.34027

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