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Improved likelihood ratio and score tests on concentration parameters of von Mises-Fisher distributions

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  • Watamori, Yoko
  • Jupp, Peter E.
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    Abstract

    Explicit expressions are given for the likelihood-ratio and quadratic score statistics for standard hypotheses on concentrations of von Mises-Fisher distributions. Bartlett corrections of the former and higher-order approximations to the null distributions of the latter are provided.

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    Bibliographic Info

    Article provided by Elsevier in its journal Statistics & Probability Letters.

    Volume (Year): 72 (2005)
    Issue (Month): 2 (April)
    Pages: 93-102

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    Handle: RePEc:eee:stapro:v:72:y:2005:i:2:p:93-102

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    Related research

    Keywords: Bartlett correction Directional statistics Generalised Bartlett correction Langevin distribution;

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    1. P. V. Larsen, 2002. "Improved likelihood ratio tests on the von Mises--Fisher distribution," Biometrika, Biometrika Trust, Biometrika Trust, vol. 89(4), pages 947-951, December.
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