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Abstrakty
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.
Czasopismo
Rocznik
Tom
Strony
76--80
Opis fizyczny
Bibliogr. 4 poz.
Twórcy
autor
autor
autor
autor
- Applied Mathematics Department Transport and Telecommunication Institute Lomonosov, Street 1, LV-1019 Riga, Latvia, konstan@tsi.lv
Bibliografia
- [1] Blischke W.R., Murthy D.N.P.: Reliability. New York: Wiley, 2000.
- [2] Kapur K.C., Lamberson L.R.: Reliability in Engineering Design. New York: John Wiley and Sons, 1977.
- [3] Mann N.R., Fertig K.W.: Tables for obtaining Weibull confidence bounds and tolerance bounds based on best linear invariant estimates of parameters of extreme-value distribution. Technometrics vol. 15, 1973, p. 87-101.
- [4] Mann N.R., Schafer R.E., Singpurwalla N.D.: Methods for Statistical Analysis of Reliability and Life Data. New York: John Wiley and Sons, 1974.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT1-0024-0025