THE HAZARD RATE OF THE POWER-QUADRATIC EXPONENTIAL FAMILY OF DISTRIBUTIONS

被引：7
|
作者：
PHAMGIA, T [1 ]
机构：
[1] UNIV MONCTON,SYST & STRUCT RELIABIL RES GRP,MONCTON E1A 3E9,NB,CANADA
来源：
STATISTICS & PROBABILITY LETTERS | 1994年 / 20卷 / 05期
基金：
加拿大自然科学与工程研究理事会;
关键词：
HAZARD RATE; PARTIAL ORDERING; HERMITE FUNCTION; TRICOMI FUNCTION; ASYMPTOTIC BEHAVIOR;
D O I：
10.1016/0167-7152(94)90129-5
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：
Among life distributions of exponential-type the power-quadratic distributions form a very versatile family since their hazard rates can have a wide variety of shapes, including the bathtub shape. It is shown in this article that this family can be partially ordered by its hazard rates whose precise expression and asymptotic behavior can also be obtained by using special mathematical functions.
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页码：375 / 382
页数：8
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