Citation

Lawless JF, Crowder MJ. Lifetime Data Anal. 2010; 16(4): 547-570.

Affiliation

Department of Statistics and Actuarial Science, University of Waterloo, Waterloo, ON, N2L 3G1, Canada, jlawless@uwaterloo.ca.

Copyright

(Copyright © 2010, Springer)

DOI

10.1007/s10985-010-9157-x

PMID

20221803

Abstract

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.

Language: en