| 寿命分布NBUE性质的一个新刻画及应用 |
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| 引用本文： | 李效虎.寿命分布NBUE性质的一个新刻画及应用[J].应用概率统计,2003,19(2):113-117. |
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| 作者姓名： | 李效虎 |
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| 作者单位： | 兰州大学数学系,兰州,730000 |
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| 基金项目： | NSFC under Grant no.TY 10126014 and by a grant from Lanzhou University |
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| 摘 要： | 本文介绍绝对连续型NBUE寿命分布的一个新的刻画：一个寿命分布具有NBUE性当且仅当它随机地大于具有相应的平衡分布的随机变量。讨论了此刻画在可靠性与寿命检验中的应用，并建立了严格NBUE性的一个非参数检验方法。
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| 关 键 词： | 剩余寿命 平衡分布 随机大 非参数检验 |
A New Interpretation of NBUE Property of Life Distribution with Some Applications |
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| Abstract.A New Interpretation of NBUE Property of Life Distribution with Some Applications[J].Chinese Journal of Applied Probability and Statisties,2003,19(2):113-117. |
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| Authors: | Abstract |
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| Abstract: | A now interpretation of the NBUE (new better than used in expectation) class of life distributions with absolutely continuous distribution functions is introduced. In effect, a life distribution is NBUE if, arid only if, it is stochastically larger than the equilibrium distribution of the excess life in the renewal process with such an underlying distribution. Based upon this characterization, some applications in reliability and life-testing are proposed. Furthermore, a nonparamctric procedure is also developed to test for the exponentiality against the strict NBUE property. |
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| Keywords: | Excess life equilibrium distribution NBUE stochastically larger testing hypothesis |
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