Annals of Operations Research

, Volume 24, Issue 1, pp 69–95 | Cite as

Proximity between life distributions and exponential distributions (I)

  • Kan Cheng
  • Zongfu He


Many classes of life distributions have been introduced into reliability theory. Because of the importance of exponential distributions in reliability theory, it is interesting to study the difference between life distributions and exponential distributions. In this paper, we study the proximity between the life distribution in various classes and the exponential distribution. We shall give some simple upper bounds.

Key words

Exponential distribution life distribution classes IFR IFRA NBU NBUE DMRL HNBUE 


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Copyright information

© J.C. Baltzer AG, Scientific Publishing Company 1990

Authors and Affiliations

  • Kan Cheng
    • 1
  • Zongfu He
    • 2
  1. 1.Institute of Applied MathematicsAcademia SinicaBeijingP.R. China
  2. 2.Air Force Engineering CollegeXianP.R. China

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