Models and estimation for systems with recurrent events and usage processes

被引：0
作者：
Jerald F. Lawless
Martin J. Crowder
机构：
[1] University of Waterloo,Department of Statistics and Actuarial Science
[2] Imperial College London,Department of Mathematics
来源：
Lifetime Data Analysis | 2010年 / 16卷
关键词：
Cumulative usage processes; Gamma processes; Incomplete data; Random effects; Recurrent events; Reliability; Time scales;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper considers settings where populations of units may experience recurrent events, termed failures for convenience, and where the units are subject to varying levels of usage. We provide joint models for the recurrent events and usage processes, which facilitate analysis of their relationship as well as prediction of failures. Data on usage are often incomplete and we show how to implement maximum likelihood estimation in such cases. Random effects models with linear usage processes and gamma usage processes are considered in some detail. Data on automobile warranty claims are used to illustrate the proposed models and estimation methodology.
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页码：547 / 570
页数：23
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