Statistical Analysis for the Angular Central Gaussian Distribution on the Sphere
研究了角中心高斯分布模型，包括参数的最大似然估计、均匀性和圆形性检验以及主成分分析，并通过实例与基于样本二阶矩的方法进行比较。
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.