Estimating load-sharing properties in a dynamic reliability system

• 成果类型: Article
• 署名作者: Kvam, PH; Peña, EA
• 署名单位: University System of Georgia; Georgia Institute of Technology; University of South Carolina System; University of South Carolina Columbia
• 刊物名称: JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
• ISSN/ISSBN: 0162-1459
• DOI: 10.1198/016214504000000863
• 发表日期: 2005
• 页码: 262-272
• 关键词: representation

摘要

An estimator for the load-share parameters in an equal load-share model is derived based on observing k-component parallel systems of identical components that have a continuous distribution function F((.)) and failure rate r((.)). In an equal load-share model. after the first of k components fails, failure rates for the remaining components change from r(t) to gamma(1)r(t), then to gamma(2)r(t) after the next failure, and so on. On the basis of observations on n independent and identical systems, a semiparametric estimator of the component baseline cumulative hazard function R = - log(1 - F) is presented, and its asymptotic limit process is established to be a Gaussian process. The effect of estimation of the load-share parameters is considered in the derivation of the limiting process. Potential applications can be found in diverse areas, including materials testing, software reliability, and power plant safety assessment.