Parametric tail copula estimation and model testing

Parametric models for tail copulas are being used for modeling tail dependence and maximum likelihood estimation is employed to estimate unknown parameters. However, two important questions seem unanswered in the literature: (1) What is the asymptotic distribution of the MLE and (2) how does one tes...

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Bibliographic Details
Main Author: Haan, Laurens de (author)
Other Authors: Neves, Cláudia (author), Peng, Liang (author)
Format: article
Language:eng
Published: 2008
Subjects:
Online Access:http://hdl.handle.net/10773/6549
Country:Portugal
Oai:oai:ria.ua.pt:10773/6549
Description
Summary:Parametric models for tail copulas are being used for modeling tail dependence and maximum likelihood estimation is employed to estimate unknown parameters. However, two important questions seem unanswered in the literature: (1) What is the asymptotic distribution of the MLE and (2) how does one test the parametric model? In this paper, we answer these two questions in the case of a single parameter for ease of illustration. A simulation study is provided to investigate the finite sample performance of the proposed estimator and test.