Statistics on special manifolds
著者
書誌事項
Statistics on special manifolds
（Lecture notes in statistics, 174）
Springer, c2003
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注記
Bibliography: p. [379]-390
Includes index
内容説明・目次
内容説明
Covering statistical analysis on the two special manifolds, the Stiefel manifold and the Grassmann manifold, this book is designed as a reference for both theoretical and applied statisticians. It will also be used as a textbook for a graduate course in multivariate analysis. It is assumed that the reader is familiar with the usual theory of univariate statistics and a thorough background in mathematics, in particular, knowledge of multivariate calculation techniques.
目次
The Special Manifolds and Related Multivariate Topics * Distributions on the Special Manifolds * Decompositions of the Special Manifolds * Distributional Problems in the Decomposition Theorems and the Sampling Theory * The Inference on the Parameters of the Matrix Langevin Distributions * Large Sample Asymptotic Theorems in Connection with Tests for Uniformity * Asymptotic Theorems for Concentrated Matrix Langevin Distributions * High Dimensional Asymptotic Theorems * Procrustes Analysis on the Special Manifolds * Density Estimation on the Special Manifolds * Measures of Orthogonal Association on the Special Manifolds
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