Statistics on Special Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Statistics on Special Manifolds write by Yasuko Chikuse. This book was released on 2012-11-12. Statistics on Special Manifolds available in PDF, EPUB and Kindle. 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.
Statistics on special manifolds
Statistics on special manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Statistics on special manifolds write by Yasuko Chikuse. This book was released on 2003. Statistics on special manifolds available in PDF, EPUB and Kindle.
Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis
Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis write by Victor Patrangenaru. This book was released on 2015-09-18. Nonparametric Statistics on Manifolds and Their Applications to Object Data Analysis available in PDF, EPUB and Kindle. A New Way of Analyzing Object Data from a Nonparametric ViewpointNonparametric Statistics on Manifolds and Their Applications to Object Data Analysis provides one of the first thorough treatments of the theory and methodology for analyzing data on manifolds. It also presents in-depth applications to practical problems arising in a variety of fields
Nonparametric Inference on Manifolds
Nonparametric Inference on Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonparametric Inference on Manifolds write by Abhishek Bhattacharya. This book was released on 2012-04-05. Nonparametric Inference on Manifolds available in PDF, EPUB and Kindle. Ideal for statisticians, this book will also interest probabilists, mathematicians, computer scientists, and morphometricians with mathematical training. It presents a systematic introduction to a general nonparametric theory of statistics on manifolds, with emphasis on manifolds of shapes. The theory has important applications in medical diagnostics, image analysis and machine vision.
Differential Geometry and Statistics
Differential Geometry and Statistics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Differential Geometry and Statistics write by M.K. Murray. This book was released on 2017-10-19. Differential Geometry and Statistics available in PDF, EPUB and Kindle. Several years ago our statistical friends and relations introduced us to the work of Amari and Barndorff-Nielsen on applications of differential geometry to statistics. This book has arisen because we believe that there is a deep relationship between statistics and differential geometry and moreoever that this relationship uses parts of differential geometry, particularly its 'higher-order' aspects not readily accessible to a statistical audience from the existing literature. It is, in part, a long reply to the frequent requests we have had for references on differential geometry! While we have not gone beyond the path-breaking work of Amari and Barndorff- Nielsen in the realm of applications, our book gives some new explanations of their ideas from a first principles point of view as far as geometry is concerned. In particular it seeks to explain why geometry should enter into parametric statistics, and how the theory of asymptotic expansions involves a form of higher-order differential geometry. The first chapter of the book explores exponential families as flat geometries. Indeed the whole notion of using log-likelihoods amounts to exploiting a particular form of flat space known as an affine geometry, in which straight lines and planes make sense, but lengths and angles are absent. We use these geometric ideas to introduce the notion of the second fundamental form of a family whose vanishing characterises precisely the exponential families.
