[1]王冠军,张德平.平衡分布与寿命分布类[J].东南大学学报(自然科学版),2005,35(3):498-500.[doi:10.3969/j.issn.1001-0505.2005.03.037]
 Wang Guanjun,Zhang Deping.Equilibrium distribution and the class of life distribution[J].Journal of Southeast University (Natural Science Edition),2005,35(3):498-500.[doi:10.3969/j.issn.1001-0505.2005.03.037]
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平衡分布与寿命分布类()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
35
期数:
2005年第3期
页码:
498-500
栏目:
数学、物理学、力学
出版日期:
2005-05-20

文章信息/Info

Title:
Equilibrium distribution and the class of life distribution
作者:
王冠军1张德平2
1 东南大学数学系, 南京 210096; 2 南京航空航天大学理学院, 南京 210016
Author(s):
Wang Guanjun1 Zhang Deping2
1 Department of Mathematics, Southeast University, Nanjing 210096, China
2 College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
关键词:
Laplace变换 平衡分布 L NBU类 E
Keywords:
Laplace transform equilibrium distribution L class NBU class E class
分类号:
O212.2
DOI:
10.3969/j.issn.1001-0505.2005.03.037
摘要:
平衡分布给出了L分布类一个新的定义方式,并证明新定义与原定义等价.研究了平衡分布的一些性质,通过寿命的平衡分布与指数分布在Laplace变换下的比较,得到一种判定L((-overL))类寿命分布的方法.进一步用平衡变量Xe的期望与寿命X的期望作比较提出一种新的寿命分布类——E,研究了E类与其他寿命分布类之间的蕴含关系,证明了E类是比L类更大的一个分布类.最后讨论了E类在卷积下的封闭性质.
Abstract:
A new definition of L class is given by the equilibrium distribution and proved to be equivalent to the old one. Some properties of equilibrium distribution is analyzed and a method for judging L((-overL)) class distribution is provided through the comparison of equilibrium distribution and exponential distribution under Laplace transform. Further more, we present a new class of life distribution — E class which bases on the comparison of the expectation of X and Xe. The relationship between E class and other class is discussed and we prove that the E class is larger than L class. At last, the closure property of L class under convolution is proved.

参考文献/References:

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备注/Memo

备注/Memo:
作者简介: 王冠军(1974—),男,硕士,讲师,mathwgj@tom.com.
更新日期/Last Update: 2005-05-20