Multicomponent lifetime distributions in the presence of ageing

Citation
Jj. Fan et al., Multicomponent lifetime distributions in the presence of ageing, J APPL PROB, 37(2), 2000, pp. 521-533
Citations number
8
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF APPLIED PROBABILITY
ISSN journal
00219002 → ACNP
Volume
37
Issue
2
Year of publication
2000
Pages
521 - 533
Database
ISI
SICI code
0021-9002(200006)37:2<521:MLDITP>2.0.ZU;2-L
Abstract
Lifetime distributions for multicomponent systems are developed through the interplay of ageing and stress shocks to the system. The ageing process is explicitly modeled by an exponential function with rate affected by the ma gnitude of stresses from a compound Poisson process shock model. Applicatio ns of these life distributions and associated failure rates towards the stu dy of multicomponent system survival are discussed. In particular, we illus trate the behavior of these survival functions in relevant subsets of the p arameter space.