BACK to VOLUME 44 NO.6

Kybernetika 44(6):777-794, 2008.

Dynamic Dependence Ordering for Archimedean Copulas and Distorted Copulas

Arthur Charpentier


Abstract:

This paper proposes a general framework to compare the strength of the dependence in survival models, as time changes, i.e. given remaining lifetimes X, to compare the dependence of X given X>t, and X given X>s, where s>t. More precisely, analytical results will be obtained in the case the survival copula of X is either Archimedean or a distorted copula. The case of a frailty based model will also be discussed in details.


Keywords: Archimedean copulas; Cox model; dependence; distorted copulas; ordering;


AMS: 60A05; 60E15; 62H05;


download abstract.pdf


BIB TeX

@article{kyb:2008:6:777-794,

author = {Charpentier, Arthur },

title = {Dynamic Dependence Ordering for Archimedean Copulas and Distorted Copulas},

journal = {Kybernetika},

volume = {44},

year = {2008},

number = {6},

pages = {777-794}

publisher = {{\'U}TIA, AV {\v C}R, Prague },

}


BACK to VOLUME 44 NO.6