| NBUC性的偏序刻画 |
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| 引用本文： | 王厚莲,朱平安.NBUC性的偏序刻画[J].安徽大学学报(自然科学版),2005,29(1):10-14. |
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| 作者姓名： | 王厚莲 朱平安 |
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| 作者单位： | 解放军炮兵学院,五系四十二队,安徽,合肥,230037;解放军炮兵学院,机械工程教研室,安徽,合肥,230037 |
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| 摘 要： | 为刻画同一类寿命分布中两个不同分布的NBUC性的强弱,本文定义了一个新的偏序,即NBUC序.并证明NBUC序具有反身性、反对称性和传递性.另外,该偏序与凸序、超可加序、NBUE序的关系也作了调查.同时还建立NBUC序在被比较的分布是指数分布情况下的一个充要条件.
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| 关 键 词： | NBUC类 偏序 NBUC序 |
| 文章编号： | 1000-2162(2005)01-0010-05 |
Characterize property of NBUC by means of partial ordering |
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| WANG Hou-lian,ZHU Ping-an.Characterize property of NBUC by means of partial ordering[J].Journal of Anhui University(Natural Sciences),2005,29(1):10-14. |
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| Authors: | WANG Hou-lian ZHU Ping-an |
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| Institution: | WANG Hou-lian~1,ZHU Ping-an~2 |
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| Abstract: | In order to characterize the property of NBUC between two distinct lifetime distributions that belong to same class, a new partial ordering named NBUC ordering is defined in this article. We show that NBUC ordering possess reflexivity, anti-symmetry and transitivity. We also survey the relationships between this new ordering and other stochastic ordering, such as convex ordering, super-additive ordering and NBUE ordering. In addition, a sufficient and necessary condition of NBUC ordering is built when compared distribution is exponential. |
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| Keywords: | NBUC class partial ordering NBUC ordering |
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