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Goodness-of-fit methods for the bipolar Watson distribution defined on the hypersphere

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  • Figueiredo, Adelaide
  • Gomes, Paolo

Abstract

The Watson distribution is frequently used for modeling axial data. In this paper, we present goodness-of-fit methods for the bipolar Watson distribution defined on the hypersphere. We analyze by simulation some questions concerning these tests: the adequacy of the asymptotic chi-square distribution used in the tests and the adequacy of using the tabulated critical values for the Kolmogorov-Smirnov statistic when the parameters of the bipolar Watson distribution are unknown. We illustrate these techniques with simulated data from this distribution.

Suggested Citation

  • Figueiredo, Adelaide & Gomes, Paolo, 2006. "Goodness-of-fit methods for the bipolar Watson distribution defined on the hypersphere," Statistics & Probability Letters, Elsevier, vol. 76(2), pages 142-152, January.
    • Handle: RePEc:eee:stapro:v:76:y:2006:i:2:p:142-152
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    References listed on IDEAS

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    1. Boulerice, Bernard & Ducharme, Gilles R., 1997. "Smooth Tests of Goodness-of-Fit for Directional and Axial Data," Journal of Multivariate Analysis, Elsevier, vol. 60(1), pages 154-175, January.
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