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On a modified Watson test for spherical location

Author

Listed:
  • Maxime Boucher

    (Université de Namur)

  • Andrea Meilán-Vila

    (Universidad Carlos III de Madrid)

  • Vivien Meurice

    (Université Libre de Bruxelles)

  • Thomas Verdebout

    (Université Libre de Bruxelles)

Abstract

In this work, we study a modified Watson test for the one sample spherical location problem. Our test is based on a modification of the classical Watson test. As is well-known, the Watson test is asymptotically valid under rotational symmetry and locally and asymptotically optimal in the von Mises case. We show that our modified Watson test enjoys several nice features: (i) it remains asymptotically valid under a large class of distributions including the rotational symmetric ones and (ii) it enjoys some local and asymptotic optimality properties in the vicinity of the von Mises case. Our results are supported by Monte Carlo simulations.

Suggested Citation

  • Maxime Boucher & Andrea Meilán-Vila & Vivien Meurice & Thomas Verdebout, 2025. "On a modified Watson test for spherical location," Statistical Papers, Springer, vol. 66(4), pages 1-12, June.
    • Handle: RePEc:spr:stpapr:v:66:y:2025:i:4:d:10.1007_s00362-024-01651-0
    DOI: 10.1007/s00362-024-01651-0
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    References listed on IDEAS

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    5. Eduardo Garcia-Portugues & Davy Paindaveine & Thomas Verdebout, 2020. "On optimal tests for rotational symmetry against new classes of hyperspherical distributions," Post-Print hal-03169388, HAL.
    6. T. D. Downs, 2003. "Spherical regression," Biometrika, Biometrika Trust, vol. 90(3), pages 655-668, September.
    7. Eduardo García-Portugués & Davy Paindaveine & Thomas Verdebout, 2020. "On Optimal Tests for Rotational Symmetry Against New Classes of Hyperspherical Distributions," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 115(532), pages 1873-1887, December.
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