Some new results involving the NBU(2) class of life distributions

被引：28

作者：

Li, XH ^{[1
]}

Kochar, SC

机构：

[1] Lanzhou Univ, Dept Math, Lanzhou 730000, Gansu Province, Peoples R China

[2] Indian Stat Inst, Stat & Math Unit, New Delhi 110016, India

来源：

JOURNAL OF APPLIED PROBABILITY | 2001年 / 38卷 / 01期

关键词：

convolution; excess lifetime; NBU(2); series systems;

D O I：

10.1017/S0021900200018659

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Some new results about the NBU(2) class of life distributions are obtained. Firstly, it is proved that the decreasing with time of the increasing concave ordering of the excess lifetime in a renewal process leads to the NBU(2) property of the interarrival times. Secondly, the NBU(2) class of life distributions is proved to be closed under the formation of series systems. Finally, it is also shown that the NBU(2) class is closed under convolution operation.

引用

页码：242 / 247

页数：6

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