Statistics on Special Manifolds

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ISBN-13:
9780387001609
Einband:
Paperback
Erscheinungsdatum:
06.02.2003
Seiten:
432
Autor:
Yasuko Chikuse
Gewicht:
652 g
Format:
234x156x23 mm
Sprache:
Englisch
Beschreibung:

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.
This book is concerned with statistical analysis on special manifolds, an area in multivariate statistics.
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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