Asymptotic Distribution of a Simple Linear Estimator for VARMA Models in Echelon Form


Autoria(s): Dufour, Jean-Marie; TAREK, Jouini
Data(s)

22/09/2006

22/09/2006

2005

Resumo

In this paper, we study the asymptotic distribution of a simple two-stage (Hannan-Rissanen-type) linear estimator for stationary invertible vector autoregressive moving average (VARMA) models in the echelon form representation. General conditions for consistency and asymptotic normality are given. A consistent estimator of the asymptotic covariance matrix of the estimator is also provided, so that tests and confidence intervals can easily be constructed.

Formato

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Identificador

DUFOUR, Jean-Marie et TAREK, Jouini, «Asymptotic Distribution of a Simple Linear Estimator for VARMA Models in Echelon Form», Cahier de recherche #2005-09, Département de sciences économiques, Université de Montréal, 2005, 37 pages.

http://hdl.handle.net/1866/538

Relação

Cahier de recherche #2005-09

Palavras-Chave #Time series #VARMA #stationary #invertible #echelon form #estimation #asymptotic normality #bootstrap #Hannan-Rissanen #[JEL:C3] Mathematical and Quantitative Methods - Econometric Methods: Multiple; Simultaneous Equation Models; Multiple Variables; Endogenous Regressors #[JEL:C32] Mathematical and Quantitative Methods - Econometric Methods: Multiple; Simultaneous Equation Models; Multiple Variables; Endogenous Regressors - Time-Series Models #[JEL:C3] Mathématiques et méthodes quantitatives - Méthodes en économétrie; modèles à équations multiples et simultanées #[JEL:C32] Mathématiques et méthodes quantitatives - Méthodes en économétrie; modèles à équations multiples et simultanées - Modèles de séries chronologiques
Tipo

Article