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Models for Minimal Repair

In: Applied Nonparametric Statistics in Reliability

Author

Listed:
  • 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)

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.

Suggested Citation

  • M. Luz Gámiz & K. B. Kulasekera & Nikolaos Limnios & Bo Henry Lindqvist, 2011. "Models for Minimal Repair," Springer Series in Reliability Engineering, in: Applied Nonparametric Statistics in Reliability, chapter 0, pages 65-92, Springer.
    • Handle: RePEc:spr:ssrchp:978-0-85729-118-9_3
    DOI: 10.1007/978-0-85729-118-9_3
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