LEADER 03138nam 22005535 450 001 9910552724103321 005 20250504231952.0 010 $a9783030969325$b(electronic bk.) 010 $z9783030969318 024 7 $a10.1007/978-3-030-96932-5 035 $a(MiAaPQ)EBC6921788 035 $a(Au-PeEL)EBL6921788 035 $a(CKB)21393145700041 035 $a(PPN)261520083 035 $a(DE-He213)978-3-030-96932-5 035 $a(EXLCZ)9921393145700041 100 $a20220311d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLectures on Dependency $eSelected Topics in Multivariate Statistics /$fby Thorsten Dickhaus 205 $a1st ed. 2022. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2022. 215 $a1 online resource (64 pages) 225 1 $aSpringerBriefs in Statistics,$x2191-5458 300 $aIncludes index. 311 08$aPrint version: Dickhaus, Thorsten Lectures on Dependency Cham : Springer International Publishing AG,c2022 9783030969318 327 $aPreface -- 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. 330 $aThis short book elaborates on selected aspects of stochastic-statistical dependencies in multivariate statistics. Each chapter provides a rigorous and self-contained treatment of one specific topic, poses a particular problem within its scope, and concludes by presenting its solution. The presented problems are not only relevant for research in mathematical statistics, but also entertaining, with elegant proofs and appealing solutions. The chapters cover correlation coefficients of bivariate normal distributions, empirical likelihood ratio tests for the population correlation, the rearrangement algorithm, covariances of order statistics, equi-correlation matrices, skew-normal distributions and the weighted bootstrap. This book is primarily intended for early-career researchers in mathematical statistics, but will also be interesting for lecturers in the field. Its goal is to rouse the reader?s interest, further their knowledge of the subject and provide them with some useful mathematical techniques. 410 0$aSpringerBriefs in Statistics,$x2191-5458 606 $aStatistics 606 $aMathematical statistics 606 $aStatistical Theory and Methods 606 $aMathematical Statistics 615 0$aStatistics. 615 0$aMathematical statistics. 615 14$aStatistical Theory and Methods. 615 24$aMathematical Statistics. 676 $a519.535 676 $a519.535 700 $aDickhaus$b Thorsten$0767932 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910552724103321 996 $aLectures on Dependency$92804605 997 $aUNINA