Useful periods for lifetime distributions with bathtub shaped hazard rate functions

被引:71
作者
Bebbington, M [1 ]
Lai, CD
Zitikis, R
机构
[1] Massey Univ, Inst Informat Sci & Technol, Palmerston North, New Zealand
[2] Univ Western Ontario, Dept Stat & Actuarial Sci, London, ON N6A 5B7, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
additive Weibull distribution; curvature; pseudo-turning points;
D O I
10.1109/TR.2001.874943
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 [计算机科学与技术];
摘要
We propose computationally tractable formal mathematical definitions for the 'useful period' of lifetime distributions with bathtub shaped hazard rate functions. Detailed analysis of the reduced additive Weibull hazard rate function illustrates its utility for identifying such useful periods. Examples of several other bathtub shaped hazard rate functions are also presented with applications to lifetime data. The suggestion is made of defining and considering analogous 'stable periods' in the case of the corresponding upside-down bathtub shaped mean residual life functions.
引用
收藏
页码:245 / 251
页数:7
相关论文
共 28 条
[1]
[Anonymous], 1961, RELIABILITY THEORY P
[2]
[Anonymous], 1996, P INT C MAINT SOC IC
[3]
Barlow R., 1981, STAT THEORY RELIABIL
[4]
Bathtub functions and burn-in [J].
Block, HW ;
Jong, YK ;
Savits, TH .
PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES, 1999, 13 (04) :497-507
[5]
LIFE DISTRIBUTIONS [J].
DHILLON, BS .
IEEE TRANSACTIONS ON RELIABILITY, 1981, 30 (05) :457-460
[7]
Jiang R, 1997, QUAL RELIAB ENG INT, V13, P83, DOI 10.1002/(SICI)1099-1638(199703)13:2<83::AID-QRE77>3.0.CO
[8]
2-V
[9]
KIM T, 1999, QUALITY RELIABILITY, V14, P417
[10]
A modified Weibull distribution [J].
Lai, CD ;
Xie, M ;
Murthy, DNP .
IEEE TRANSACTIONS ON RELIABILITY, 2003, 52 (01) :33-37