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Lifetime Data

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

We study the smoothing of the classical Kaplan–Meier estimator for the survival function and the Nelson–Aalen estimator for the cumulative hazard function for a lifetime random variable discussing the practical and theoretical advantages of resulting estimators. We then extend our work to smoothing techniques such as kernel smoothing, local linear method, spline method, etc. for the estimation of failure rate functions in the presence of censoring. This is then followed by an introduction to smoothing parameter (bandwidth) selection. A few examples are presented to illustrate the use of some techniques.

Suggested Citation

  • M. Luz Gámiz & K. B. Kulasekera & Nikolaos Limnios & Bo Henry Lindqvist, 2011. "Lifetime Data," Springer Series in Reliability Engineering, in: Applied Nonparametric Statistics in Reliability, chapter 0, pages 3-29, Springer.
    • Handle: RePEc:spr:ssrchp:978-0-85729-118-9_1
    DOI: 10.1007/978-0-85729-118-9_1
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