| 书目名称 | Multivariate Dispersion, Central Regions, and Depth | | 副标题 | The Lift Zonoid Appr | | 编辑 | Karl Mosler | | 视频video | | | 丛书名称 | Lecture Notes in Statistics | | 图书封面 |  | | 描述 | 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 i | | 出版日期 | Book 2002 | | 关键词 | Law of large numbers; Operations Research; Variance; data analysis; econometrics; lift zonoids; measure; mu | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4613-0045-8 | | isbn_softcover | 978-0-387-95412-7 | | isbn_ebook | 978-1-4613-0045-8Series ISSN 0930-0325 Series E-ISSN 2197-7186 | | issn_series | 0930-0325 | | copyright | Springer Science+Business Media New York 2002 |
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发表于 2025-3-21 17:21:45
