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Properties and generation of representative points of the exponential distribution

Author

Listed:
  • Long-Hao Xu

    (BNU-HKBU United International College)

  • Kai-Tai Fang

    (BNU-HKBU United International College
    The Chinese Academy of Sciences)

  • Ping He

    (BNU-HKBU United International College)

Abstract

It is known that the exponential distribution has many nice properties. Graf and Luschgy (2000) pointed out that the mean squared error of the set of representative points of the exponential distribution is fully determined by the smallest representative point. In this paper we concern with the representative points of the exponential distribution and find a number of new interesting properties. A new algorithm is proposed to effectively generate representative points of the exponential distribution. In addition, the performance of representative points of the exponential distribution is evaluated.

Suggested Citation

  • Long-Hao Xu & Kai-Tai Fang & Ping He, 2022. "Properties and generation of representative points of the exponential distribution," Statistical Papers, Springer, vol. 63(1), pages 197-223, February.
    • Handle: RePEc:spr:stpapr:v:63:y:2022:i:1:d:10.1007_s00362-021-01236-1
    DOI: 10.1007/s00362-021-01236-1
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    References listed on IDEAS

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    Cited by:

    1. Xiao Ke & Sirao Wang & Min Zhou & Huajun Ye, 2023. "New Approaches on Parameter Estimation of the Gamma Distribution," Mathematics, MDPI, vol. 11(4), pages 1-15, February.

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