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Statistical analysis for the angular central Gaussian distribution on the sphere. (English) Zbl 0628.62054

The angular central Gaussian distribution is an alternative to the Bingham distribution for modeling antipodal symmetric directional data. In this paper the statistical theory for the angular central Gaussian model is presented. Some topics treated are maximum likelihood estimation of the parameters, testing for uniformity and circularity, and principal components analysis. Comparisons to methods based upon the sample second moments are made via an example.

MSC:

62H12 Estimation in multivariate analysis
62H15 Hypothesis testing in multivariate analysis
62H25 Factor analysis and principal components; correspondence analysis
62H10 Multivariate distribution of statistics

Software:

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