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OverviewRequiring only a background in mathematical statistics or analysis, this book provides the first comprehensive look at the statistics of manifolds. It presents location and spread parameters for distribution on manifolds, followed by key large sample theory results. The text also addresses inference of two samples, nonparametric MANOVA, principal component analysis, and density estimation on manifolds. A special section is dedicated to a nonparametric statistical analysis on certain special manifolds arising in statistics. The final part of the text focuses on concrete applications in astronomy, image analysis, medical imaging, bioinformatics, and pattern recognition. Full Product DetailsAuthor: Victor Patrangenaru (Florida State University, Tallahassee, USA) , Leif Ellingson (Texas Tech University, Lubbock, USA)Publisher: Taylor & Francis Inc Imprint: CRC Press Inc Weight: 2.300kg ISBN: 9781439820506ISBN 10: 1439820503 Pages: 517 Publication Date: 25 September 2015 Audience: College/higher education , General/trade , Tertiary & Higher Education , General Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsNonparametric Statistics on Manifolds. Asymptotic Theory and Nonparametric Bootstrap on Special Manifolds. Applications in Object Data Analysis on Manifolds. Additional Topics.Reviews... the first extensive book on [this subject] ... This book succeeds in unifying the field by bringing in disparate topics, already available in several papers, but not easy to understand, under one roof. ... a brilliant and a bold idea by an active researcher, who is now joined in coauthorship by an enthusiastic, hardworking, and talented younger peer. ... it exceeds all expectations, in particular regarding the extent to which complex differential geometric notions permeate statistics. -From the Foreword by Victor Pambuccian, Professor of Mathematics, Arizona State University """… the first extensive book on [this subject] … This book succeeds in unifying the field by bringing in disparate topics, already available in several papers, but not easy to understand, under one roof. … a brilliant and a bold idea by an active researcher, who is now joined in coauthorship by an enthusiastic, hardworking, and talented younger peer. … it exceeds all expectations, in particular regarding the extent to which complex differential geometric notions permeate statistics."" —From the Foreword by Victor Pambuccian, Professor of Mathematics, Arizona State University" Author InformationVictor Patrangenaru, Florida State University, Tallahassee, USA Tab Content 6Author Website:Countries AvailableAll regions |
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