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Nonparametric estimation of the limiting availability
Authors:Laurence A. Baxter  Linxiong Li
Affiliation:(1) Department of Applied Mathematics and Statistics, State University of New York at Stony Brook, 11794 Stony Brook, NY;(2) Department of Mathematics, University of New Orleans, 70148 New Orleans, LA
Abstract:The point availability of a repairable system is the probability that the system is operating at a specified time. As time increases, the point availability converges to a positive constant called the limiting availability. Baxter and Li (1994a) developed a technique for constructing nonparametric confidence intervals for the point availability. However, nonparametric estimators of the limiting availability have not previously been studied in the literature. In this paper, we consider two separate cases: (1) the data are complete and (2) the data are subject to right censorship. For each case, a nonparametric confidence interval for the limiting availability is derived. Applications and simulation studies are presented.deceased after the paper was accepted
Keywords:Alternating renewal process  colerent system  nonparametric confidence interval  Brownian notion  censored data  product limit estimator
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