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On Papakonstantinou's extension of the cardioid distribution

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  • Abe, Toshihiro
  • Pewsey, Arthur
  • Shimizu, Kunio

Abstract

In this paper, the authors investigate a family of symmetric circular distributions which extends the cardioid distribution so as to allow for sharply peaked and flat-topped unimodal distributional forms as well as multimodality.

Suggested Citation

  • Abe, Toshihiro & Pewsey, Arthur & Shimizu, Kunio, 2009. "On Papakonstantinou's extension of the cardioid distribution," Statistics & Probability Letters, Elsevier, vol. 79(20), pages 2138-2147, October.
    • Handle: RePEc:eee:stapro:v:79:y:2009:i:20:p:2138-2147
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    References listed on IDEAS

    as
    1. K. V. Mardia, 1999. "Directional statistics and shape analysis," Journal of Applied Statistics, Taylor & Francis Journals, vol. 26(8), pages 949-957.
    2. Pewsey, Arthur, 2008. "The wrapped stable family of distributions as a flexible model for circular data," Computational Statistics & Data Analysis, Elsevier, vol. 52(3), pages 1516-1523, January.
    3. Jones, M.C. & Pewsey, Arthur, 2005. "A Family of Symmetric Distributions on the Circle," Journal of the American Statistical Association, American Statistical Association, vol. 100, pages 1422-1428, December.
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    Cited by:

    1. Fernanda V. Paula & Abraão D. C. Nascimento & Getúlio J. A. Amaral & Gauss M. Cordeiro, 2021. "Generalized Cardioid Distributions for Circular Data Analysis," Stats, MDPI, vol. 4(3), pages 1-16, August.
    2. Mojtaba Hatami & Mohammad Hossein Alamatsaz, 2019. "Skew-symmetric circular distributions and their structural properties," Indian Journal of Pure and Applied Mathematics, Springer, vol. 50(4), pages 953-969, December.
    3. Abe, Toshihiro & Miyata, Yoichi & Shiohama, Takayuki, 2023. "Bayesian estimation for mode and anti-mode preserving circular distributions," Econometrics and Statistics, Elsevier, vol. 27(C), pages 136-160.
    4. Ameijeiras-Alonso, Jose & Gijbels, Irène & Verhasselt, Anneleen, 2022. "On a family of two–piece circular distributions," Computational Statistics & Data Analysis, Elsevier, vol. 168(C).
    5. Toshihiro Abe & Arthur Pewsey & Kunio Shimizu, 2013. "Extending circular distributions through transformation of argument," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 65(5), pages 833-858, October.
    6. M. C. Jones & Arthur Pewsey, 2012. "Inverse Batschelet Distributions for Circular Data," Biometrics, The International Biometric Society, vol. 68(1), pages 183-193, March.
    7. Masanobu Taniguchi & Shogo Kato & Hiroaki Ogata & Arthur Pewsey, 2020. "Models for circular data from time series spectra," Journal of Time Series Analysis, Wiley Blackwell, vol. 41(6), pages 808-829, November.

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