标题:
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
作者:
李嘉伟
关键字:
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
期刊名称:
《Advances in Applied Mathematics》, Vol.3 No.4, 2014-11-06
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。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.