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Higher order kernel density estimation on the circle

Author

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  • Tsuruta, Yasuhito
  • Sagae, Masahiko

Abstract

A new class of pth-order kernels corresponding to new moments on the circle is introduced. We propose two methods for constructing higher-order kernel density estimators, and we derive theoretical and empirical results for the kernel density estimators.

Suggested Citation

  • Tsuruta, Yasuhito & Sagae, Masahiko, 2017. "Higher order kernel density estimation on the circle," Statistics & Probability Letters, Elsevier, vol. 131(C), pages 46-50.
    • Handle: RePEc:eee:stapro:v:131:y:2017:i:c:p:46-50
    DOI: 10.1016/j.spl.2017.08.003
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    Citations

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    Cited by:

    1. Arthur Pewsey & Eduardo García-Portugués, 2021. "Recent advances in directional statistics," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(1), pages 1-58, March.
    2. Yasuhito Tsuruta & Masahiko Sagae, 2023. "Automatic data-based bin width selection for rose diagram," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 75(5), pages 855-886, October.
    3. Yasuhito Tsuruta & Masahiko Sagae, 2020. "Theoretical properties of bandwidth selectors for kernel density estimation on the circle," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 72(2), pages 511-530, April.
    4. Jan Beran & Britta Steffens & Sucharita Ghosh, 2022. "On nonparametric regression for bivariate circular long-memory time series," Statistical Papers, Springer, vol. 63(1), pages 29-52, February.

    More about this item

    Keywords

    Directional statistics; Circular data;

    Statistics

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