03138nam 22005535 450 991055272410332120250504231952.09783030969325(electronic bk.)978303096931810.1007/978-3-030-96932-5(MiAaPQ)EBC6921788(Au-PeEL)EBL6921788(CKB)21393145700041(PPN)261520083(DE-He213)978-3-030-96932-5(EXLCZ)992139314570004120220311d2022 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierLectures on Dependency Selected Topics in Multivariate Statistics /by Thorsten Dickhaus1st ed. 2022.Cham :Springer International Publishing :Imprint: Springer,2022.1 online resource (64 pages)SpringerBriefs in Statistics,2191-5458Includes index.Print version: Dickhaus, Thorsten Lectures on Dependency Cham : Springer International Publishing AG,c2022 9783030969318 Preface -- General preliminaries -- Correlation coefficients of bivariate normal distributions -- Empirical likelihood ratio tests for the population correlation coefficient -- The rearrangement algorithm -- On the covariances of order statistics -- On equi-correlation matrices -- Skew-normal distributions -- The weighted bootstrap -- index.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.SpringerBriefs in Statistics,2191-5458StatisticsMathematical statisticsStatistical Theory and MethodsMathematical StatisticsStatistics.Mathematical statistics.Statistical Theory and Methods.Mathematical Statistics.519.535519.535Dickhaus Thorsten767932MiAaPQMiAaPQMiAaPQ9910552724103321Lectures on Dependency2804605UNINA