On order statistics and Kendall's tau


Fuchs, Sebastian ; Schmidt, Klaus D.



DOI: https://doi.org/10.1016/j.spl.2020.108972
URL: https://www.sciencedirect.com/science/article/pii/...
Additional URL: https://www.researchgate.net/publication/345361317...
Document Type: Article
Year of publication: 2021
The title of a journal, publication series: Statistics and Probability Letters
Volume: 169
Issue number: Article 108972
Page range: 1-7
Place of publication: Amsterdam
Publishing house: North Holland Publ. ; Elsevier Science
ISSN: 0167-7152
Publication language: English
Institution: School of Business Informatics and Mathematics > Mathematik (Seniorprofessur) (Schmidt, K.D. 2018-)
Subject: 510 Mathematics
Classification: MSC: 60E05, 62G30, 62H10, 62H20,
Keywords (English): Order statistics, Kendall's tau
Abstract: Using Kendall's tau for copulas, we compare the degree of concordance of random variables with that of their order statistics. We prove a general inequality and show that this inequality is strict for every copula from the Fréchet family which is distinct from the upper Fréchet-Hoeffding bound.
Translation of the title: Über Ordnungsstatistiken und Kendall's tau (German)




Dieser Eintrag ist Teil der Universitätsbibliographie.




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