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Applied Nonparametric Statistics in Reliability pp 65–92Cite as

Models for Minimal Repair

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Part of the book series: Springer Series in Reliability Engineering ((RELIABILITY))

Abstract

In this chapter, we consider systems that, once the failure has occurred and the repair has been completed, exhibit identical conditions to that just before the failure. In this case, minimal repair maintenance actions are being carried out in the system environment. The model considered is a non-homogeneous Poisson process (NHPP) and the main objective is a nonparametric estimation of the intensity function of the process or equivalently, the rate occurrence of failures (rocof). To achieve this, we will consider one or multiple realizations of a NHPP, which means observing a single system or, alternatively, a population of systems of the same characteristics. No assumption is adopted for the functional form of the rocof except concerning the smoothness, which is understood in terms of some properties of derivability. We are also interested in estimating this function under some restrictions of monotonicity.

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Authors and Affiliations

  1. Facultad Ciencias, Depto. Estadistica e Investigacion Operativa, Universidad Granada, Campus Univ. Fuentenueva, 18071, Granada, Spain

    Assoc. Prof. M. Luz Gámiz

  2. Department of Mathematical Sciences, Clemson University, Clemson, SC, 29634-1907, USA

    Prof. K. B. Kulasekera

  3. Centre de Recherches de Royallieu, Laboratoire de Mathématiques Appliquées, Université de Technologie de Compiègne, BP 20529 , 60205, Compiègne, France

    Prof. Nikolaos Limnios

  4. Department of Mathematical Sciences, Norwegian University of Science and Technology, 7491, Trondheim, Norway

    Prof. Bo Henry Lindqvist

Authors
  1. Assoc. Prof. M. Luz Gámiz
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  2. Prof. K. B. Kulasekera
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  3. Prof. Nikolaos Limnios
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  4. Prof. Bo Henry Lindqvist
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Correspondence to M. Luz Gámiz .

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© 2011 Springer-Verlag London Limited

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Gámiz, M.L., Kulasekera, K.B., Limnios, N., Lindqvist, B.H. (2011). Models for Minimal Repair. In: Applied Nonparametric Statistics in Reliability. Springer Series in Reliability Engineering. Springer, London. https://doi.org/10.1007/978-0-85729-118-9_3

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  • DOI: https://doi.org/10.1007/978-0-85729-118-9_3

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  • Publisher Name: Springer, London

  • Print ISBN: 978-0-85729-117-2

  • Online ISBN: 978-0-85729-118-9

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