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Titlebook: Lectures on Dependency; Selected Topics in M Thorsten Dickhaus Book 2022 The Author(s), under exclusive licence to Springer Nature Switzerl

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發(fā)表于 2025-3-21 19:56:12 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Lectures on Dependency
副標(biāo)題Selected Topics in M
編輯Thorsten Dickhaus
視頻videohttp://file.papertrans.cn/584/583496/583496.mp4
概述Elaborates on various selected aspects of stochastic-statistical dependencies.Each chapter solves a specific problem within the scope of a single lecture session.Provides PhD students with useful and
叢書名稱SpringerBriefs in Statistics
圖書封面Titlebook: Lectures on Dependency; Selected Topics in M Thorsten Dickhaus Book 2022 The Author(s), under exclusive licence to Springer Nature Switzerl
描述.This short book elaborates on selected aspects of stochastic-statistical dependencies in multivariate statistics. Each chapter provides a rigorous and self-contained treatment of one specific topic, poses a particular problem within its scope, and concludes by presenting its solution. The presented problems are not only relevant for research in mathematical statistics, but also entertaining, with elegant proofs and appealing solutions. The chapters cover correlation coefficients of bivariate normal distributions, empirical likelihood ratio tests for the population correlation, the rearrangement algorithm, covariances of order statistics, equi-correlation matrices, skew-normal distributions and the weighted bootstrap. This book is primarily intended for early-career researchers in mathematical statistics, but will also be interesting for lecturers in the field. Its goal is to rouse the reader’s interest, further their knowledge of the subject and provide them with some useful mathematical techniques. .
出版日期Book 2022
關(guān)鍵詞dependence; copula; covariance; correlation; normal distribution; multivariate statistics; population corr
版次1
doihttps://doi.org/10.1007/978-3-030-96932-5
isbn_softcover978-3-030-96931-8
isbn_ebook978-3-030-96932-5Series ISSN 2191-544X Series E-ISSN 2191-5458
issn_series 2191-544X
copyrightThe Author(s), under exclusive licence to Springer Nature Switzerland AG 2022
The information of publication is updating

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沙發(fā)
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General Preliminaries,In this introductory chapter, some general notions and results are introduced and discussed. In particular, we discuss properties of covariances, correlations, copula functions, and normal distributions. Also some remarks regarding statistical tests are made. Finally, a conceptual overview of the other book chapters is given.
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Skew-Normal Distributions,This lecture deals with skew-normal distributions on the real line. Utilizing results from stationary time series analysis, we derive a stochastic representation of a skew-normally distributed random variable. Furthermore, possible generalizations of skew-normal distributions are mentioned.
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發(fā)表于 2025-3-23 03:09:55 | 只看該作者
The Weighted Bootstrap,In this chapter, (weighted) bootstrap methods for testing statistical functionals are presented. The relationship to dependency is that Efron’s bootstrap involves multinominal weights which are correlated. Some modifications of these weights are proposed to address this issue.
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