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" Multivariate dispersion, central regions, and depth : "
Karl Mosler.
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BL
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| Record Number
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655850
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dltt
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| Main Entry
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Mosler, Karl C.,1947-
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| Title & Author
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Multivariate dispersion, central regions, and depth : : the lift zonoid approach /\ Karl Mosler.
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| Publication Statement
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New York :: Springer,, c2002.
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| Series Statement
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Lecture notes in statistics ;; 165
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| Page. NO
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x, 291 p. :: ill. ;; 24 cm.
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| ISBN
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0387954120 (acid-free paper)
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: 9780387954127 (acid-free paper)
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Includes bibliographical references (p. [274]-287) and index.
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| Contents
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1. Introduction -- 2. Zonoids and lift zonoids. 2.1. Zonotopes and zonoids. 2.2. Lift zonoid of a measure. 2.3. Embedding into convex compacts. 2.4. Continuity and approximation. 2.5. Limit theorems. 2.6. Representation of measures by a functional -- 3. Central regions. 3.1. Zonoid trimmed regions. 3.2. Properties. 3.3. Univariate central regions. 3.4. Examples of zonoid trimmed regions. 3.5. Notions of central regions. 3.6. Continuity and law of large numbers. 3.7. Further properties. 3.8. Trimming of empirical measures. 3.9. Computation of zonoid trimmed regions -- 4. Data depth. 4.1. Zonoid depth. 4.2. Properties of the zonoid depth. 4.3. Different notions of data depth. 4.4. Combinatorial invariance.
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| Subject
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Probability measures.
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| LC Classification
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QA273.6.M68 2002
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