Invariance Properties in the Dynamic Gaussian Copula Model

Autor: Crépey Stéphane, Song Shiqi
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: ESAIM: Proceedings and Surveys, Vol 56, Pp 22-41 (2017)
Druh dokumentu: article
ISSN: 2267-3059
DOI: 10.1051/proc/201756022
Popis: Based on Gaussian tail distribution estimates of independent interest, we study the mathematical properties of the default times (or any of their minima) in the dynamic Gaussian copula model. In particular, depending on the value of the correlation parameter ϱ in the model, the so-called invariance property of CrepeySong15c may be satisfied or not. This gives together an example of a model where the invariance property is satisfied but immersion does not hold, for small ϱ and, for larger ϱ an example of a model where the invariance property may not be satisfied.
Databáze: Directory of Open Access Journals