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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Multivariate Dispersion, Central Regions, and Depth
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Multivariate Dispersion, Central Regions, and Depth
Karl Mosler (Broschiert, Englisch)
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Beschreibung
This book introduces a new representation of probability measures, the lift zonoid representation, and demonstrates its usefulness in statistical applica tions. The material divides into nine chapters. Chapter 1 exhibits the main idea of the lift zonoid representation and surveys the principal results of later chap ters without proofs. Chapter 2 provides a thorough investigation into the theory of… the lift zonoid. All principal properties of the lift zonoid are col lected here for later reference. The remaining chapters present applications of the lift zonoid approach to various fields of multivariate analysis. Chap ter 3 introduces a family of central regions, the zonoid trimmed regions, by which a distribution is characterized. Its sample version proves to be useful in describing data. Chapter 4 is devoted to a new notion of data depth, zonoid depth, which has applications in data analysis as well as in inference. In Chapter 5 nonparametric multivariate tests for location and scale are in vestigated; their test statistics are based on notions of data depth, including the zonoid depth. Chapter 6 introduces the depth of a hyperplane and tests which are built on it. Chapter 7 is about volume statistics, the volume of the lift zonoid and the volumes of zonoid trimmed regions; they serve as multivariate measures of dispersion and dependency. Chapter 8 treats the lift zonoid order, which is a stochastic order to compare distributions for their dispersion, and also indices and related orderings. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
10.07.2002
Sprache
Englisch
EAN
9780387954127
Herausgeber
Springer US
Serien- oder Bandtitel
Lecture Notes in Statistics
Sonderedition
Nein
Autor
Karl Mosler
Seitenanzahl
292
Einbandart
Broschiert
Buch Untertitel
The Lift Zonoid Approach
Schlagwörter
Law of large numbers, Operations Research, Variance, data analysis, econometrics, lift zonoids, measure, multivariate analysis, multivariate dispersion, probability measure, statistics, zonoids
Thema-Inhalt
PBK - Mathematische Analysis, allgemein
PBT - Wahrscheinlichkeitsrechnung und Statistik
K - Wirtschaftswissenschaft, Finanzen, Betriebswirtschaft und Management
Höhe
235 mm
Breite
15.5 cm
Hersteller: Humana, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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