Multivariate Nonparametric Methods with R : An approach based on spatial signs and ranks
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...
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| Tác giả chính: | |
|---|---|
| Định dạng: | Livre numérique |
| Ngôn ngữ: | Anglais |
| Được phát hành: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Loạt: | Lecture Notes in Statistics
199 |
| Truy cập trực tuyến: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Chú thích: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Multivariate nonparametric methods with R, an approach based on spatial signs and ranks, Hannu Oja, New York, Springer, 2010, 1 vol. (XIII-232 p.), Lecture notes in statistics, 978-1-441-90467-6 |
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| 100 | 1 | |a Oja, Hannu. | |
| 245 | 1 | 0 | |a Multivariate Nonparametric Methods with R : |b An approach based on spatial signs and ranks |c by Hannu Oja. |
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture Notes in Statistics |v 199 |x 0930-0325 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Multivariate location and scatter models Location and scatter functionals and sample statistics Multivariate signs and ranks One-sample problem: Hotelling s T2-test One-sample problem: Spatial sign test and spatial median One-sample problem: Spatial signed-rank test and Hodges-Lehmann estimate One-sample problem: Comparisons of tests and estimates One-sample problem: Inference for shape Multivariate tests of independence Several-sample location problem Randomized blocks Multivariate linear regression Analysis of cluster-correlated data | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 776 | 0 | |0 144706962 |t Multivariate nonparametric methods with R |o an approach based on spatial signs and ranks |f Hannu Oja |c New York |n Springer |d 2010 |p 1 vol. (XIII-232 p.) |s Lecture notes in statistics |z 978-1-441-90467-6 | |
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