Preservation of reliability classes under mixtures of renewal processes

被引：18

作者：

Badia, F. G. ^{[1
]}

Sanguesa, C. ^{[1
]}

机构：

[1] Univ Zaragoza, Departamento Metodos Estadisticos, Zaragoza, Spain

来源：

PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES | 2008年 / 22卷 / 01期

关键词：

D O I：

10.1017/S0269964808000016

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this work we provide sufficient conditions for the arrival times of a renewal process so that the number of its events occurring before a randomly distributed time, T, independent of the process preserves the aging properties of T.

引用

页码：1 / 17

页数：17

共 18 条

[1]

Barlow RE, 1965, MATH THEORY RELIABIL

[2]

Barlow RE, 1975, STAT THEORY RELIABIL

[3] LAPLACE TRANSFORMS FOR CLASSES OF LIFE DISTRIBUTIONS [J].

BLOCK, HW ;

SAVITS, TH .

ANNALS OF PROBABILITY, 1980, 8 (03) :465-474

[4] The reversed hazard rate function [J].

Block, HW ;

Savits, TH ;

Singh, H .

PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES, 1998, 12 (01) :69-90

[5] Some results on reversed hazard rate [J].

Chandra, NK ;

Roy, D .

PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES, 2001, 15 (01) :95-102

[6] SHOCK MODELS AND WEAR PROCESSES [J].

ESARY, JD ;

MARSHALL, AW ;

PROSCHAN, F .

ANNALS OF PROBABILITY, 1973, 1 (04) :627-649

[7] On the reversed hazard rate [J].

Finkelstein, MS .

RELIABILITY ENGINEERING & SYSTEM SAFETY, 2002, 78 (01) :71-75

[8]

Grandell J., 1997, MIXED POISSON PROCES

[9]

LAI CD, 2006, STOCHASTIC AGEING DE

[10]

Muller A., 2002, Comparison Methods for Stochastic Models and Risk

← 1 2 →