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Uniqueness of principal points with respect to p-order distance for a class of univariate continuous distribution

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  • Yu, Feng

Abstract

In this paper, the uniqueness of principal points with respect to p-order distance is studied. When the density function of univariate bounded continuous distribution fluctuates in a specified range, the principal points are unique. It is completely different from the strongly unimodal condition.

Suggested Citation

  • Yu, Feng, 2022. "Uniqueness of principal points with respect to p-order distance for a class of univariate continuous distribution," Statistics & Probability Letters, Elsevier, vol. 183(C).
    • Handle: RePEc:eee:stapro:v:183:y:2022:i:c:s0167715221002881
    DOI: 10.1016/j.spl.2021.109341
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    References listed on IDEAS

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    1. Tarpey, Thaddeus, 1994. "Two principal points of symmetric, strongly unimodal distributions," Statistics & Probability Letters, Elsevier, vol. 20(4), pages 253-257, July.
    2. Li, Luning & Flury, Bernard, 1995. "Uniqueness of principal points for univariate distributions," Statistics & Probability Letters, Elsevier, vol. 25(4), pages 323-327, December.
    3. Yamamoto, Wataru & Shinozaki, Nobuo, 2000. "On uniqueness of two principal points for univariate location mixtures," Statistics & Probability Letters, Elsevier, vol. 46(1), pages 33-42, January.
    4. 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. 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.

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