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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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    7. Shun Matsuura & Hiroshi Kurata, 2014. "Principal points for an allometric extension model," Statistical Papers, Springer, vol. 55(3), pages 853-870, August.
    8. Matsuura, Shun & Kurata, Hiroshi, 2010. "A principal subspace theorem for 2-principal points of general location mixtures of spherically symmetric distributions," Statistics & Probability Letters, Elsevier, vol. 80(23-24), pages 1863-1869, December.
    9. Giorgia Callegaro & Lucio Fiorin & Martino Grasselli, 2017. "Pricing via recursive quantization in stochastic volatility models," Quantitative Finance, Taylor & Francis Journals, vol. 17(6), pages 855-872, June.
    10. Vlad Bally & Gilles Pagès & Jacques Printems, 2005. "A Quantization Tree Method For Pricing And Hedging Multidimensional American Options," Mathematical Finance, Wiley Blackwell, vol. 15(1), pages 119-168, January.
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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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