• Treffer 1 von 2
Zurück zur Trefferliste

On selected problems in multivariate analysis

  • 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.

Metadaten exportieren

Weitere Dienste

Teilen auf X Suche bei Google Scholar
Metadaten
Verfasserangaben:Daniel Gaigall
DOI:https://doi.org/10.15488/14304
Dokumentart:Habilitation
Sprache:Englisch
Erscheinungsjahr:2023
Datum der Publikation (Server):04.09.2023
Freies Schlagwort / Tag:Asymptotic relative efficiency; Incomplete data; Marginal homogeneity; Paired sample; Volumes of confidence regions
Umfang:17 Seiten
Bemerkung:
Gottfried Wilhelm Leibniz Universität Hannover
Link:https://doi.org/10.15488/14304
Zugriffsart:weltweit
Fachbereiche und Einrichtungen:FH Aachen / Fachbereich Medizintechnik und Technomathematik