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An interesting property of the arcsine distribution and its applications

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  • Jiang, Jia-Jian
  • He, Ping
  • Fang, Kai-Tai

Abstract

Representative points obtained by number-theoretic method (RPs-NTM) are used to construct a discrete approximation to the arcsine distribution. An interesting property of the discrete approximation is presented. In addition, another type of representative points of minimizing mean squared error (RPs-MSE) is also considered as an approximation. The performance of the two discrete approximations is evaluated.

Suggested Citation

  • Jiang, Jia-Jian & He, Ping & Fang, Kai-Tai, 2015. "An interesting property of the arcsine distribution and its applications," Statistics & Probability Letters, Elsevier, vol. 105(C), pages 88-95.
    • Handle: RePEc:eee:stapro:v:105:y:2015:i:c:p:88-95
    DOI: 10.1016/j.spl.2015.06.002
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    References listed on IDEAS

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    1. Xin Guo & Robert A. Jarrow & Adrien de Larrard, 2014. "The economic default time and the arcsine law," Journal of Financial Engineering (JFE), World Scientific Publishing Co. Pte. Ltd., vol. 1(03), pages 1-18.
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    4. James E. Smith, 1993. "Moment Methods for Decision Analysis," Management Science, INFORMS, vol. 39(3), pages 340-358, March.
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    6. Bernard D. Flury, 1993. "Estimation of Principal Points," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 42(1), pages 139-151, March.
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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.
    2. Kai-Tai Fang & Jianxin Pan, 2023. "A Review of Representative Points of Statistical Distributions and Their Applications," Mathematics, MDPI, vol. 11(13), pages 1-25, June.
    3. 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.

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