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

Adelaide Figueiredo and Paolo Gomes

Statistics & Probability Letters, 2006, vol. 76, issue 2, 142-152

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.

Keywords: Axial; data; Test; of; fit; Watson; distribution (search for similar items in EconPapers)
Date: 2006
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