| 定时截尾下指数分布产品可靠性抽样检验方案 |
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| 引用本文： | 吴启光,吕建华.定时截尾下指数分布产品可靠性抽样检验方案[J].系统科学与数学,2003,23(2):145-154. |
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| 作者姓名： | 吴启光 吕建华 |
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| 作者单位： | 中国科学院系统科学研究所,北京,100080 |
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| 基金项目： | 国家自然科学基金(19871088,10071090)资助课题. |
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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.
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| 关 键 词： | 指数分布 抽样检验方案 极大似然估计 Cornish-Fisher展开. |
| 修稿时间： | 2001年11月30 |
RELIABILITY SAMPLING INSPECTION PLANS FOR EXPONENTIAL POPULATIONS WITH TYPE Ⅰ CENSORING |
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| Qi Guang WU,Jian Hua LU.RELIABILITY SAMPLING INSPECTION PLANS FOR EXPONENTIAL POPULATIONS WITH TYPE Ⅰ CENSORING[J].Journal of Systems Science and Mathematical Sciences,2003,23(2):145-154. |
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| Authors: | Qi Guang WU Jian Hua LU |
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| Institution: | Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080,P.R.China |
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| Abstract: | 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. |
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| Keywords: | Exponential distribution sampling inspection plan maximum likelihood estimator Cornish-Fisher expansion |
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