TY - THES A1 - Gaigall, Daniel T1 - On selected problems in multivariate analysis N2 - Selected problems in the field of multivariate statistical analysis are treated. Thereby, one focus is on the paired sample case. Among other things, statistical testing problems of marginal homogeneity are under consideration. In detail, properties of Hotelling‘s T² test in a special parametric situation are obtained. Moreover, the nonparametric problem of marginal homogeneity is discussed on the basis of possibly incomplete data. In the bivariate data case, properties of the Hoeffding-Blum-Kiefer-Rosenblatt independence test statistic on the basis of partly not identically distributed data are investigated. Similar testing problems are treated within the scope of the application of a result for the empirical process of the concomitants for partly categorial data. Furthermore, testing changes in the modeled solvency capital requirement of an insurance company by means of a paired sample from an internal risk model is discussed. Beyond the paired sample case, a new asymptotic relative efficiency concept based on the expected volumes of multidimensional confidence regions is introduced. Besides, a new approach for the treatment of the multi-sample goodness-of-fit problem is presented. Finally, a consistent test for the treatment of the goodness-of-fit problem is developed for the background of huge or infinite dimensional data. KW - Paired sample KW - Marginal homogeneity KW - Incomplete data KW - Asymptotic relative efficiency KW - Volumes of confidence regions Y1 - 2023 U6 - http://dx.doi.org/10.15488/14304 N1 - Gottfried Wilhelm Leibniz Universität Hannover ER - TY - THES A1 - Artmann, Gerhard T1 - Methodische und experimentelle Beiträge zur Analyse der Ruheform, der Verformung und der Integrität humaner Erythrozyten Y1 - 1999 N1 - Ilmenau, Techn. Univ., Habil.-Schr., 1999 ER - TY - THES A1 - Kotliar, Konstantin T1 - Dynamische retinale Gefäßanalyse für die Diagnostik und Früherkennung von System- und Augenerkrankungen vaskulärer Genese Y1 - 2013 N1 - München, Techn. Univ., Habil.-Schrift, 2013 ER - TY - THES A1 - Kotliar, Konstantin T1 - Pathophysiologische Beurteilung und hämodynamische Analyse von mikrostrukturellen Veränderungen des retinalen Gefäßlängsschnittsprofils Y1 - 2012 N1 - Moskau, Habil.-Schr. ,Russ. Univ., Med. Fakultät, 2012. Originaltitel in Russisch. ER -