Models for Imperfect Repair

M. Luz Gámiz (), K. B. Kulasekera (), Nikolaos Limnios () and Bo Henry Lindqvist ()
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M. Luz Gámiz: Universidad Granada
K. B. Kulasekera: Clemson University
Nikolaos Limnios: Université de Technologie de Compiègne
Bo Henry Lindqvist: Norwegian University of Science and Technology

Chapter Chapter 4 in Applied Nonparametric Statistics in Reliability, 2011, pp 93-118 from Springer

Abstract: Abstract We consider two main approaches for modeling of imperfect repair processes. The first approach is via the modeling of conditional intensities, which combines in some sense the features of the “extreme” repair processes, RP and NHPP. The second approach is via the notion of effective ages, where the idea is that repairs may result in improved system behavior equivalent to a certain reduction in time since the system was new. In particular we consider, as part of the first approach, the trend-renewal process (TRP) that is defined in terms of a trend function λ(·) and a renewal distribution F. Nonparametric estimation of λ(·) is considered in the case where F is given on parametric form. For the second approach based on effective ages, we consider in particular nonparametric estimation approaches by Whitaker and Samaniego (J Am Stat Assoc 84:301–309, 1989) and by Peña et al. (J Stat Plan Inference 137:1727–1747, 2007).

Date: 2011
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DOI: 10.1007/978-0-85729-118-9_4

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