Title
A note on the copulas invariant with respect to (a,b)-transformation
Abstract
This paper answers the problem of copulas invariant with respect to (a,b)-transformations recently proposed by Horanská and Kolesárová (2017) [8]. Using tools from ergodic theory and iterated function systems we prove that the conjecture formulated therein is not true in general and for every (a,b)∈]0,1[2 we construct a one-parametric class of nontrivial copulas invariant with respect to (a,b)-transformation.
Year
DOI
Venue
2020
10.1016/j.fss.2018.10.020
Fuzzy Sets and Systems
Keywords
DocType
Volume
Copula,Measure-preserving transformation,Iterated function system
Journal
378
ISSN
Citations 
PageRank 
0165-0114
0
0.34
References 
Authors
1
2
Name
Order
Citations
PageRank
Lubomíra Horanská162.76
Peter Sarkoci211312.64