| 書目名稱 | Multivariate Dispersion, Central Regions, and Depth | | 副標(biāo)題 | The Lift Zonoid Appr | | 編輯 | Karl Mosler | | 視頻video | http://file.papertrans.cn/642/641304/641304.mp4 | | 叢書名稱 | Lecture Notes in Statistics | | 圖書封面 |  | | 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 | | 關(guān)鍵詞 | 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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