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Shocks as burn-in in heterogeneous populations

Title
Shocks as burn-in in heterogeneous populations
Authors
Cha J.H.Finkelstein M.
Ewha Authors
차지환
SCOPUS Author ID
차지환scopus
Issue Date
2012
Journal Title
Communications in Statistics - Theory and Methods
ISSN
0361-0926JCR Link
Citation
vol. 41, no. 2, pp. 325 - 340
Indexed
SCIE; SCOPUS WOS scopus
Abstract
Burn-in is usually performed for items with decreasing or bathtub failure rates in order to eliminate early failures. This can be done in a "normal" or accelerated environment or with the help of high environmental stresses, which can often be referred to as "shocks". The latter method of burn-in was not considered so far in the literature on burn-in modeling. Mixtures of distributions present a useful survival model for modeling lifetime distributions in heterogeneous populations. They often result in decreasing failure rates in some time intervals. In this article, we consider shocks that eliminate items in heterogeneous populations with probabilities that depend on the corresponding frailty parameters. We assume that the larger the failure rate of an item in a heterogeneous population is, the larger the probability of this elimination. The optimal level of severity of shocks that minimizes the corresponding total expected costs function is analyzed. Some meaningful examples are discussed. © Taylor & Francis Group, LLC.
DOI
10.1080/03610926.2010.526742
Appears in Collections:
자연과학대학 > 통계학전공 > Journal papers
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