| 两种寿命分布类性质的讨论及非参数检验 |
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| 引用本文： | 王选鹤,王旭东,冯立伟. 两种寿命分布类性质的讨论及非参数检验[J]. 沈阳化工学院学报, 2009, 23(1): 85-88 |
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| 作者姓名： | 王选鹤 王旭东 冯立伟 |
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| 作者单位： | 1. 沈阳化工学院,数理系,辽宁,沈阳,110142
2. 西安建筑科技大学,理学院,陕西,西安,710055 |
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| 摘 要： | 基于寿命分布类NBUrh（新比旧以反失效率好）和NBRUrh（新比更新旧以反失效率好），研究它们的性质，讨论它们与其他寿命分布类的关系，计算检验统计量渐近分布的Pitman’s渐近功效（PAE），并用蒙特卡罗方法模拟对应非参数检验在小样本情况下关于几种备选分布的势，以衡量检验的功效，说明该检验方法的合理性．
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| 关 键 词： | 寿命分布 假设检验 PAE 势函数 蒙特卡罗 |
Discussion of Nature and Non-parametric Test against Two Aging Notions |
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| WANG Xuan-he,WANG Xu-dong,FENG Li-wei. Discussion of Nature and Non-parametric Test against Two Aging Notions[J]. Journal of Shenyang Institute of Chemical Technolgy, 2009, 23(1): 85-88 |
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| Authors: | WANG Xuan-he WANG Xu-dong FENG Li-wei |
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| Affiliation: | WANG Xuan-he, WANG Xu-dong, FENG Li-wei (1. Shenyang University of Chemical Technology, Shenyang 110142, China; 2. Xi＇ an University of Architecture and Technology, Xi＇ an 710055, China) |
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| Abstract: | This paper studies the nature of relationships with other aging notions based upon aging properfies of NBUrh and NBRUrh then evaluates the PitmanS asymptotic efficiency （PAE）. The power of the test is also estimated by simulation for some alternatives when the sample size is small, to measure the effectiveness of testing and to show that the test is reasonable. |
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| Keywords: | PAE |
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