DOI

10.1198/016214504000000863

Abstract

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 γ1r (t), then to γ2r (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.

Document Type

Post-print Article

Publication Date

2005

Publisher Statement

Copyright © 2005 Taylor & Francis

DOI: 10.1198/016214504000000863

The definitive version is available at: https://www.tandfonline.com/doi/abs/10.1198/016214504000000863

Full Citation:

Kvam, Paul H., and Edsel A. Peña. "Estimating Load-Sharing Properties in a Dynamic Reliability System." Journal of the American Statistical Association 100, no. 469 (2005): 262-272. doi:10.1198/016214504000000863.

Download

Share

COinS