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Estudo

The finite-sample size of the BDS test for GARCH standardized residuals

Fernandes, Marcelo; Preumont, Pierre-Yves

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Resumo

This paper uses a multivariate response surface methodology to analyze the size distortion of the BDS test when applied to standardized residuals of rst-order GARCH processes. The results show that the asymptotic standard normal distribution is an unreliable approximation, even in large samples. On the other hand, a simple log-transformation of the squared standardized residuals seems to correct most of the size problems. Nonethe-less, the estimated response surfaces can provide not only a measure of the size distortion, but also more adequate critical values for the BDS test in small samples.

Ficha do documento

Tipo
Estudo
Ano
2014
Instituição
Fundação Getulio Vargas
Idioma
Inglês
Acesso
Não informado
Identificador
oai:repositorio.fgv.br:10438/11721

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