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Proximity between life distributions and exponential distributions (I)

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Abstract

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.

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Authors and Affiliations

  1. Institute of Applied Mathematics, Academia Sinica, Beijing, P.R. China

    Kan Cheng

  2. Air Force Engineering College, Xian, P.R. China

    Zongfu He

Authors
  1. Kan Cheng
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  2. Zongfu He
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Additional information

This research was partially supported by the National Natural Science Foundation of China.

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Cheng, K., He, Z. Proximity between life distributions and exponential distributions (I). Ann Oper Res 24, 69–95 (1990). https://doi.org/10.1007/BF02216817

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  • DOI: https://doi.org/10.1007/BF02216817

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