AAM  >> Vol. 3 No. 4 (November 2014)

    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

  • 全文下载: PDF(414KB) HTML    PP.184-191   DOI: 10.12677/AAM.2014.34027  
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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。

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. http://dx.doi.org/10.12677/AAM.2014.34027

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