Statistics on spheres. (English) Zbl 0646.62045

The University of Arkansas Lecture Notes in the Mathematical Sciences, Vol. 6. A Wiley-Interscience Publication. New York etc.: John Wiley & Sons. X, 238 p. (1983).
Contents: Ch. 1. Introduction; Ch. 2. The uniform distributionon \(\Omega_ q\); Ch. 3. Classes of distributions on \(\Omega_ q\); Ch. 4. Statistical methods based on the center of mass of the sample; Ch. 5. Statistical methods based on the moment of inertia of the sample. Appendices: A. Normalization constants; B. Asymptotic spectral analysis of cross-product matrices; C. Series expansion for the angular Gaussian distribution.


62H10 Multivariate distribution of statistics
62-02 Research exposition (monographs, survey articles) pertaining to statistics
62E20 Asymptotic distribution theory in statistics
62H05 Characterization and structure theory for multivariate probability distributions; copulas