| 威布尔分布下不同定时截尾数据的可靠度的置信下限 |
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| 引用本文： | 李庆华. 威布尔分布下不同定时截尾数据的可靠度的置信下限[J]. 西安邮电学院学报, 2008, 13(5): 158-161 |
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| 作者姓名： | 李庆华 |
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| 作者单位： | 西北大学,数学系,陕西,西安,710069 |
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| 摘 要： | 目的本文主要研究在威布尔分布下不同定时截尾数据的可靠度的置信下限。方法利用鞍点逼近及威布尔分布与指数分布的转换关系。结果给出参数估计的概率分布的近似公式,并进一步求出在威布尔分布下可靠度的近似置信下限。结论简化了在威布尔分布下计算置信下限的复杂性,使得在双参数下不同定时截尾在实际中的应用成为一种可能。
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| 关 键 词： | 威布尔分布 不同定时截尾数据 鞍点逼近 可靠度 置信下限 |
The lower confidence limit of reliability of the data with varying censored time under Weibull distribution |
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| LI Qing-hua. The lower confidence limit of reliability of the data with varying censored time under Weibull distribution[J]. Journal of Xi'an Institute of Posts and Telecommunications, 2008, 13(5): 158-161 |
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| Authors: | LI Qing-hua |
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| Affiliation: | LI Qing-hua (Department of Mathematics, Northwest University, Xi＇an 710069, China) |
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| Abstract: | Intention: This paper is concentrated on the lower confidence limit of reliability of the data with varying time under Weibull distribution.Method: The saddlepoint approximation and the transition relation between Weibull and exponential distribution are used in the paper.Result: By a series of clear discussion and analysis the paper educes the approximation formula to the probability distribution of parameter estimation,and further finds the approximative lower confidence limit of reliability under Weibull distribution.Conclusion: It simplifies the complexity to calculate the lower confidence limit of reliability under Weibull distribution,and makes it feasible to apply the varying censored time under double parameter in practice. |
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| Keywords: | Weibull distribution data with varying censoring time saddlepoint approximation reliability confidence limit |
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