Proportional hazards models with discrete frailty

被引：22
|
作者：
Caroni, Chrys [1 ]
Crowder, Martin [2 ]
Kimber, Alan [3 ]
机构：
[1] Sch Math & Phys Sci, Dept Math, Athens 15780, Greece
[2] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2AZ, England
[3] Univ Southampton, Sch Math, Southampton SO17 1BJ, Hants, England
来源：
LIFETIME DATA ANALYSIS | 2010年 / 16卷 / 03期
关键词：
Reliability analysis; Lifetime data; Proportional hazards; Frailty models; Discrete distribution; Limited failure model; HETEROGENEITY; TESTS; RELIABILITY;
D O I：
10.1007/s10985-010-9151-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We extend proportional hazards frailty models for lifetime data to allow a negative binomial, Poisson, Geometric or other discrete distribution of the frailty variable. This might represent, for example, the unknown number of flaws in an item under test. Zero frailty corresponds to a limited failure model containing a proportion of units that never fail (long-term survivors). Ways of modifying the model to avoid this are discussed. The models are illustrated on a previously published set of data on failures of printed circuit boards and on new data on breaking strengths of samples of cord.
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页码：374 / 384
页数：11
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