# [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] 点击复制 平衡分布与寿命分布类() 分享到： var jiathis_config = { data_track_clickback: true };

35

2005年第3期

498-500

2005-05-20

## 文章信息/Info

Title:
Equilibrium distribution and the class of life distribution

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):
1 Department of Mathematics, Southeast University, Nanjing 210096, China
2 College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Keywords:

O212.2
DOI:
10.3969/j.issn.1001-0505.2005.03.037

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.

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