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Predictive Weibull Models with Applications to Decision-Making in Aircraft Service

Nicholas A. Nechval, Konstantin N. Nechval, Gundars Bērziņš, M. Purgailis, Kristine Rozite and N. Zolova

p. 233-248

    Abstract

    Based on a random sample from the Weibull distribution with unknown shape and scale parameters, lower and upper prediction limits on a set of m future observations from the same distribution are constructed. The procedures, which arise from considering the distribution of future observations given the observed value of an ancillary statistic, do not require the construction of any tables, and are applicable whether the data are complete or Type II censored. The results have direct application in reliability theory, where the time until the first failure in a group of m items in service provides a measure regarding the operation of the items, as well as in service of fatigue-sensitive aircraft structures to construct strategies of inspections of these structures ; examples of applications are given.

    Index

    Keywords

    aircraft, fatigue crack, initiation, Weibull model, prediction limit

    Text

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    References

    Bibliographical reference

    Nicholas A. Nechval, Konstantin N. Nechval, Gundars Bērziņš, M. Purgailis, Kristine Rozite and N. Zolova, « Predictive Weibull Models with Applications to Decision-Making in Aircraft Service », CASYS, 21 | 2008, 233-248.

    Electronic reference

    Nicholas A. Nechval, Konstantin N. Nechval, Gundars Bērziņš, M. Purgailis, Kristine Rozite and N. Zolova, « Predictive Weibull Models with Applications to Decision-Making in Aircraft Service », CASYS [Online], 21 | 2008, Online since 10 October 2024, connection on 27 December 2024. URL : http://popups.uliege.be/3041-539x/index.php?id=2741

    Authors

    Nicholas A. Nechval

    Mathematical Statistics Department, University of Latvia, Raina Blvd 19, LV-1050, Riga, Latvia

    By this author

    Konstantin N. Nechval

    Applied Mathematics Department, Transport and Telecommunication Institute, Lomonosov Street 1, LV-1019, Riga, Latvia

    By this author

    Gundars Bērziņš

    Mathematical Statistics Department, University of Latvia, Raina Blvd 19, LV-1050, Riga, Latvia

    By this author

    M. Purgailis

    Mathematical Statistics Department, University of Latvia, Raina Blvd 19, LV-1050, Riga, Latvia

    By this author

    Kristine Rozite

    Mathematical Statistics Department, University of Latvia, Raina Blvd 19, LV-1050, Riga, Latvia

    By this author

    N. Zolova

    Mathematical Statistics Department, University of Latvia, Raina Blvd 19, LV-1050, Riga, Latvia

    Copyright

    CC BY-SA 4.0 Deed