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Regression with Autocorrelated Errors Using Design-Adapted Haar Wavelets

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Autor(es):
Porto, Rogerio F. ; Morettin, Pedro A. ; Aubin, Elisete C. Q.
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: JOURNAL OF TIME SERIES ECONOMETRICS; v. 4, n. 1, p. 29-pg., 2012-05-01.
Resumo

We present some theoretical results on semi-parametric regression models in the presence of autocorrelated errors using design-adapted Haar wavelets. We prove that the risks for the linear and nonlinear estimators are asymptotically almost minimax when the errors have absolutely summable autocovariances. For the nonlinear estimator, we also need a strong mixing property with a specific coefficient and a condition on the errors' higher-order moments. Some simulations ilustrate the theoretical achievements. (AU)

Processo FAPESP: 08/51097-6 - Séries temporais, análise de dependência e aplicações
Beneficiário:Pedro Alberto Morettin
Modalidade de apoio: Auxílio à Pesquisa - Temático