Acta Mathematicae Applicatae Sinica

, Volume 7, Issue 1, pp 38–52 | Cite as

On the reliability bounds in κ-HNBUE and κ-HNWUE classes

  • Cheng Kan
  • He Zongfu 
  • Hu Yimin 
Article
  • 15 Downloads

Abstract

κ-HNBUE class and its dual were introduced by Basu and Ebrahimi [2]. In this paper we give a generalized definition, and discuss their reliability bounds based on the known mean.

Keywords

Math Application Generalize Definition Reliability Bound 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Barlow, R. E. and Proschan, F., Statistical Theory of Reliability and Life Testing, Holt, Rinehart and Winston, New York, 1975Google Scholar
  2. [2]
    Basu, A. P. and Ebrahimi, N., Onk-order Harmonic New Better than Used in Expectation Distributions,Ann. Inst. Statist. Math.,36 (1984), Part A, 87–100.Google Scholar
  3. [3]
    Bryson, M. C. and Siddiqui, M. M., Some Criteria for Aging,J. Amer. Statist. Ass.,64 (1969), 1472–1483.Google Scholar
  4. [4]
    Hu Yiming, Some Bounds in κ-HNBUE(κ-HNWUE) Classes. Reliability Theory and Application, S. Osaki et al. eds., World Scientific, 1987, 127–139.Google Scholar
  5. [5]
    Klefsjö, B., The HNBUE and HNWUE Classes of Life Distributions,Naval Res. Logist. Quart,29 (1982), 331–344.Google Scholar
  6. [6]
    Rolski, T., Mean Residual Life,Bull. Int. Statist. Inst.,46 (1975), 266–270.Google Scholar

Copyright information

© Science Press, Beijing, China and Allerton Press, Inc., New York, U.S.A. 1991

Authors and Affiliations

  • Cheng Kan
    • 1
  • He Zongfu 
    • 2
  • Hu Yimin 
    • 3
  1. 1.Institute of Applied MathematicsAcademia SinicaChina
  2. 2.Air Force Engineering CollegeChina
  3. 3.Institute of Applied MathematicsAcademia SinicaChina

Personalised recommendations