On generalized reversed aging intensity functions

被引：11

作者：

Buono, Francesco ^{[1
]}

Longobardi, Maria ^{[1
]}

Szymkowiak, Magdalena ^{[2
]}

机构：

[1] Univ Napoli Federico II, Naples, Italy

[2] Poznan Univ Tech, Poznan, Poland

来源：

RICERCHE DI MATEMATICA | 2022年 / 71卷 / 01期

关键词：

Generalized reversed aging intensity; Reversed hazard rate; Generalized Pareto distribution; Generalized reversed aging intensity order;

D O I：

10.1007/s11587-021-00560-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The reversed aging intensity function is defined as the ratio of the instantaneous reversed hazard rate to the baseline value of the reversed hazard rate. It analyzes the aging property quantitatively, the higher the reversed aging intensity, the weaker the tendency of aging. In this paper, a family of generalized reversed aging intensity functions is introduced and studied. Those functions depend on a real parameter. If the parameter is positive they characterize uniquely the distribution functions of univariate positive absolutely continuous random variables, in the opposite case they characterize families of distributions. Furthermore, the generalized reversed aging intensity orders are defined and studied. Finally, several numerical examples are given.

引用

页码：85 / 108

页数：24

共 19 条

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[2]

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[3]

Barlow R.E., 1969, BERKELEY U CALIF, V34, P69

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