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定时截尾下指数分布产品可靠性抽样检验方案 被引量:13

RELIABILITY SAMPLING INSPECTION PLANS FOR EXPONENTIAL POPULATIONS WITH TYPE I CENSORING
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摘要 本文给出了制订定时截尾下指数分布产品可靠性抽样检验方案的统计方法.检验统计量是平均寿命倒数的极大似然估计.提出了一种选择截尾时间的方法.利用分布分位数的Cornish-Fisher展开近似地确定了样本量和接收常数.模拟结果表明,本文给出的方法是可行的. This paper gives a statistical method of working out reliability sampling inspection plans for items whose failure times are distributed as exponential distributions. The sampling inspection plan allows Type I censoring. The test statistic is the maximum likelihood estimator of the parameter, the reciprocal of the mean life. An approach for choosing a truncation time is proposed. The sample size and the acceptability constant are approximately determined by using the Cornish-Fisher expansion for quantiles of the distribution. Simulation results show that the method given in this paper is feasible.
出处 《系统科学与数学》 CSCD 北大核心 2003年第2期145-154,共10页 Journal of Systems Science and Mathematical Sciences
基金 国家自然科学基金(19871088 10071090)资助课题.
关键词 定时截尾 指数分布 产品 可靠性 抽样检验 Cornlsh-Fisher展开 Exponential distribution, sampling inspection plan, maximum likelihood estimator, Cornish-Fisher expansion.
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参考文献4

  • 1.国家电子工业部部标SJ/Z2448-84.可靠性计数抽样程序和表(威布尔分布)[S].,..
  • 2United States Department of Defense. Sampling Procedures and Table for Life and Reliability Testing: Quality Control and Reliability Handbook (H-108). Office of the Assistant Secretary of Defense, Washington, D. C. 1960.
  • 3Cornish E A and Fisher R A. Moments and cumulants in the specification of distributions. Rev.Int. Statist. Inst., 1937, 5: 307-322.
  • 4Fisher R A and Cornish E A. The percentiles points of distributions having known cumulants.Technometrics, 1960, 2: 209-225.

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