We present a novel approach to the study of singular components for the family of shock induced copulas which is of great importance in many applications. We concentrate on three most known families of these copulas, Marshall (also called Marshall-Olkin), reflected maxmin (RMM for short), and maxmin. Although it is generally believed that "all"shock model copulas are singular, both RMM and maxmin contain nontrivial cases of members that are absolutely continuous. It seems that for the latter family this is observed for the first time. (C) 2021 Elsevier B.V. All rights reserved.
CopulaDependence conceptsMax and min copulasTransformations of distribution functionsSurvival analysisShock modelsDISTRIBUTIONS
NSTL
Elsevier
