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Improved likelihood ratio tests on the von Mises--Fisher distribution

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  • P. V. Larsen

Abstract

Explicit expressions for the directed likelihood statistic, r, and two modified directed likelihood statistics, r-super-* and r-super-†, are given for several standard hypotheses on concentrations in von Mises--Fisher distributions, and for several standard hypotheses on mean directions in von Mises distributions. Copyright Biometrika Trust 2002, Oxford University Press.

Suggested Citation

  • P. V. Larsen, 2002. "Improved likelihood ratio tests on the von Mises--Fisher distribution," Biometrika, Biometrika Trust, vol. 89(4), pages 947-951, December.
    • Handle: RePEc:oup:biomet:v:89:y:2002:i:4:p:947-951
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    Cited by:

    1. Christine Cutting & Davy Paindaveine & Thomas Verdebout, 2015. "Tests of Concentration for Low-Dimensional and High-Dimensional Directional Data," Working Papers ECARES ECARES 2015-05, ULB -- Universite Libre de Bruxelles.
    2. 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.
    3. Davy Paindaveine & Thomas Verdebout, 2017. "Detecting the Direction of a Signal on High-dimensional Spheres: Non-null and Le Cam Optimality Results," Working Papers ECARES ECARES 2017-40, ULB -- Universite Libre de Bruxelles.
    4. Watamori, Yoko & Jupp, Peter E., 2005. "Improved likelihood ratio and score tests on concentration parameters of von Mises-Fisher distributions," Statistics & Probability Letters, Elsevier, vol. 72(2), pages 93-102, April.
    5. Hemangi V. Kulkarni & Ashis SenGupta, 2022. "An Efficient Test for Homogeneity of Mean Directions on the Hyper‐sphere," International Statistical Review, International Statistical Institute, vol. 90(1), pages 41-61, April.
    6. Christophe Ley & Thomas Verdebout, 2014. "Local Powers of Optimal One-sample and Multi-sample Tests for the Concentration of Fisher-von Mises-Langevin Distributions," International Statistical Review, International Statistical Institute, vol. 82(3), pages 440-456, December.

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