Artículos de revistas
Reliability Nonparametric Bayesian Estimation in Parallel Systems
Fecha
2009Registro en:
IEEE TRANSACTIONS ON RELIABILITY, v.58, n.2, p.364-373, 2009
0018-9529
10.1109/TR.2009.2019493
Autor
POLPO, Adriano
PEREIRA, Carlos A. B.
Institución
Resumen
Relevant results for (sub-)distribution functions related to parallel systems are discussed. The reverse hazard rate is defined using the product integral. Consequently, the restriction of absolute continuity for the involved distributions can be relaxed. The only restriction is that the sets of discontinuity points of the parallel distributions have to be disjointed. Nonparametric Bayesian estimators of all survival (sub-)distribution functions are derived. Dual to the series systems that use minimum life times as observations, the parallel systems record the maximum life times. Dirichlet multivariate processes forming a class of prior distributions are considered for the nonparametric Bayesian estimation of the component distribution functions, and the system reliability. For illustration, two striking numerical examples are presented.