Multivariate Nonparametric Methods with R: An Approach Based on Spatial Signs and Ranks Paperback - 2010 - 2010th Edition
by Hannu Oja
From the rear cover
This book offers a new, fairly efficient, and robust alternative to analyzing multivariate data. The analysis of data based on multivariate spatial signs and ranks proceeds very much as does a traditional multivariate analysis relying on the assumption of multivariate normality; the regular L2 norm is just replaced by different L1 norms, observation vectors are replaced by spatial signs and ranks, and so on. A unified methodology starting with the simple one-sample multivariate location problem and proceeding to the general multivariate multiple linear regression case is presented. Companion estimates and tests for scatter matrices are considered as well. The R package MNM is available for computation of the procedures. This monograph provides an up-to-date overview of the theory of multivariate nonparametric methods based on spatial signs and ranks. The classical book by Puri and Sen (1971) uses marginal signs and ranks and different type of L1 norm. The book may serve as a textbook and a general reference for the latest developments in the area. Readers are assumed to have a good knowledge of basic statistical theory as well as matrix theory. Hannu Oja is an academy professor and a professor in biometry in the University of Tampere. He has authored and coauthored numerous research articles in multivariate nonparametrical and robust methods as well as in biostatistics.
Details
- Title Multivariate Nonparametric Methods with R: An Approach Based on Spatial Signs and Ranks
- Author Hannu Oja
- Binding Paperback
- Edition number 2010th
- Edition 2010
- Pages 234
- Volumes 1
- Language ENG
- Publisher Springer
- Date 2010-04-09
- Illustrated Yes
- Features Bibliography, Illustrated, Index
- ISBN 9781441904676 / 1441904670
- Weight 0.78 lbs (0.35 kg)
- Dimensions 9.21 x 6.14 x 0.53 in (23.39 x 15.60 x 1.35 cm)
-
Themes
- Aspects (Academic): Science/Technology Aspects
- Library of Congress subjects Multivariate analysis, Nonparametric statistics
- Library of Congress Catalog Number 2010924740
- Dewey Decimal Code 519.535
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Multivariate Nonparametric Methods with R: An approach based on spatial signs and ranks (Lecture Notes in Statistics, 199)
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