PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Characterization of a class of lifetime distributions

Autorzy
Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In Knopik (2005) the ageing class MTFR (Mean Time to Failure or Repair) of lifetime distribution was introduced. In this paper, we show that the family MTFR is closed under weak convergence of distribution and convolution. We prove that the dual family MTFR^D (in a particular case) is closed under mixtures.
Słowa kluczowe
Rocznik
Strony
407--414
Opis fizyczny
Bibliogr. 10 poz.
Twórcy
autor
Bibliografia
  • BARLOW, R.E. (1979) Geometry of the total time test on test transform. Naval Res. Logist. Quarterly 26, 293-402.
  • BARLOW, R.E. and CAMPO, R. (1975) Total time on test processes and applications to failure data analysis. In: R.E. Barlow, J. Fussel and N. Singpurwalla, eds., Reliability ans fault tree analysis, SIAM, Philadelphia, 451-481.
  • BARLOW, R.E. and PROSCHAN, F. (1981) Statistical Theory of Reliability and Life Testing Probability Models. Holt, Reinhart and Winston, Inc.
  • BASU, S.K. and BHATTACHARJE, M.C. (1984) On weak convergence within the family of life distributions. J.App. Probab. 21, 654-600.
  • BILLIGSLEY, P. (1968) Convergence of Probability Measures. John Wiley & Sons, New York.
  • DESHPANDE, J.V., KOCHAR, S.C. and SINGH, H. (1986) Aspects of positive ageing. J, App. Probab. 23, 748-758.
  • KEFSJÖ, B. (1982) On ageing properties and total time on test transforms. Scand. J. Statist. 9, 37-41.
  • KNOPIK, L. (2005) Some results on the ageing classes. Control and Cybernetics 34 (4), 1175-1180.
  • MARSCHALL, A.W. and PROSCHAN, F. (1972) Classes of distributions applicable in replacement with renewal theory implications. In: Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability of California Press, Berkeley, 395-415.
  • STOYANOV, J.M. (1989) Counterexamples in Probability. John Wiley & Sons, Chichester, 129-130.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0011-0037
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.