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Statistics on Special Manifolds
Yasuko Chikuse
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Description for Statistics on Special Manifolds
Paperback. This book is concerned with statistical analysis on special manifolds, an area in multivariate statistics. Series: Lecture Notes in Statistics. Num Pages: 429 pages, biography. BIC Classification: PBT. Category: (P) Professional & Vocational. Dimension: 235 x 156 x 24. Weight in Grams: 632.
The special manifolds of interest in this book are the Stiefel manifold and the Grassmann manifold. Formally, the Stiefel manifold Vk,m is the space of k frames in the m-dimensional real Euclidean space Rm, represented by the set of m x k matrices X such that X' X = I , where Ik is the k x k identity matrix, k and the Grassmann manifold Gk,m-k is the space of k-planes (k-dimensional hyperplanes) in Rm. We see that the manifold Pk,m-k of m x m orthogonal projection matrices idempotent of rank k corresponds uniquely to Gk,m-k. This book is concerned ... Read more
The special manifolds of interest in this book are the Stiefel manifold and the Grassmann manifold. Formally, the Stiefel manifold Vk,m is the space of k frames in the m-dimensional real Euclidean space Rm, represented by the set of m x k matrices X such that X' X = I , where Ik is the k x k identity matrix, k and the Grassmann manifold Gk,m-k is the space of k-planes (k-dimensional hyperplanes) in Rm. We see that the manifold Pk,m-k of m x m orthogonal projection matrices idempotent of rank k corresponds uniquely to Gk,m-k. This book is concerned ... Read more
Product Details
Format
Paperback
Publication date
2003
Publisher
Springer-Verlag New York Inc. United States
Number of pages
429
Condition
New
Series
Lecture Notes in Statistics
Number of Pages
403
Place of Publication
New York, NY, United States
ISBN
9780387001609
SKU
V9780387001609
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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