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Nonparametric Statistics on Manifolds and Their Applications

By Victor Patrangenaru, Lief Ellingson

CRC Press – 2015 – 420 pages

Series: Chapman & Hall/CRC Monographs on Statistics & Applied Probability

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  • Hardback: $89.95
    978-1-43-982050-6
    May 26th 2015
    Not yet available

Description

Requiring 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.

Author Bio

Victor Patrangenaru, Florida State University, Tallahassee, USA

Name: Nonparametric Statistics on Manifolds and Their Applications (Hardback)CRC Press 
Description: By Victor Patrangenaru, Lief Ellingson. Requiring 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...
Categories: Statistical Theory & Methods, Image Processing, Regression Analysis and Multivariate Statistics