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 


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.


Math Application Generalize Definition Reliability Bound 
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    Barlow, R. E. and Proschan, F., Statistical Theory of Reliability and Life Testing, Holt, Rinehart and Winston, New York, 1975Google Scholar
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    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
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    Bryson, M. C. and Siddiqui, M. M., Some Criteria for Aging,J. Amer. Statist. Ass.,64 (1969), 1472–1483.Google Scholar
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    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
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    Klefsjö, B., The HNBUE and HNWUE Classes of Life Distributions,Naval Res. Logist. Quart,29 (1982), 331–344.Google Scholar
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    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

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