Title
Extreme biconic copulas: Characterization, properties and extensions to aggregation functions.
Abstract
Motivated by optimization problems arising in the study of copula-based stochastic models, we study the extreme points (in the Krein–Milman sense) of the class of extreme biconic copulas and provide their characterization. Moreover, we show how this characterization may help in shedding light upon new aspects of biconic copulas, including their link with extreme-value copulas. The study is embedded into the more general setting of aggregation functions (especially, semi–copulas and quasi–copulas), where the determination of extreme points has also interest.
Year
DOI
Venue
2019
10.1016/j.ins.2019.03.010
Information Sciences
Keywords
Field
DocType
Copula,Extreme point,Stochastic measures,Uncertainty quantification
Extreme point,Applied mathematics,Discrete mathematics,Copula (linguistics),Stochastic modelling,Optimization problem,Mathematics
Journal
Volume
ISSN
Citations 
487
0020-0255
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Fabrizio Durante139159.28
J. Fernández-Sánchez2297.01
Manuel Úbeda-flores37113.89