Title
Weak convergence of the weighted empirical beta copula process.
Abstract
The empirical copula has proved to be useful in the construction and understanding of many statistical procedures related to dependence within random vectors. The empirical beta copula is a smoothed version of the empirical copula that enjoys better finite-sample properties. At the core lie fundamental results on the weak convergence of the empirical copula and empirical beta copula processes. Their scope of application can be increased by considering weighted versions of these processes. In this paper we show weak convergence for the weighted empirical beta copula process. The weak convergence result for the weighted empirical beta copula process is stronger than the one for the empirical copula and its use is more straightforward. The simplicity of its application is illustrated for weighted Cramér–von Mises tests for independence and for the estimation of the Pickands dependence function of an extreme-value copula.
Year
DOI
Venue
2018
10.1016/j.jmva.2018.03.009
Journal of Multivariate Analysis
Keywords
Field
DocType
62G32
Econometrics,Weak convergence,Dependence function,Copula (linguistics),Beta (finance),Statistics,Mathematics
Journal
Volume
ISSN
Citations 
166
0047-259X
0
PageRank 
References 
Authors
0.34
5
2
Name
Order
Citations
PageRank
Betina Berghaus100.34
Johan Segers24110.37