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Specification of Echelon-Form VARMA Models

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Author Info
Lutkepohl, Helmut
Poskitt, D S

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Abstract

The echelon form of a vector autoregressive moving average (VARMA) model is considered. Its advantages over other identified VARMA representations are discussed. Furthermore, a general strategy for specifying echelon form VARMA models from data is presented. Specifically, procedures for choosing the Kronecker indices that characterize an echelon form are reviewed. The feasibility of the method is demonstrated by analyzing a well-known set of flour price time series and the term structure of German interest rates.

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Publisher Info
Article provided by American Statistical Association in its journal Journal of Business and Economic Statistics.

Volume (Year): 14 (1996)
Issue (Month): 1 (January)
Pages: 69-79
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Handle: RePEc:bes:jnlbes:v:14:y:1996:i:1:p:69-79

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  1. Jean-Marie Dufour & Tarek Jouini, 2005. "Asymptotic distribution of a simple linear estimator for VARMA models in echelon form," CIRANO Working Papers 2005s-06, CIRANO. [Downloadable!]
    Other versions:
  2. Helmut Luetkepohl, 2004. "Forecasting with VARMA Models," Economics Working Papers ECO2004/25, European University Institute. [Downloadable!]
    Other versions:
  3. Christian Kascha, 2007. "A Comparison of Estimation Methods for Vector Autoregressive Moving-Average Models," Economics Working Papers ECO2007/12, European University Institute. [Downloadable!]
  4. Alfredo García-Hiernaux & José Casals & Miguel Jerez, 2007. "Detección de raíces unitarias y cointegración mediante métodos de subespacios," Revista Colombiana de Estadística, REVISTA COLOMBIANA DE ESTADISTICA. [Downloadable!]
  5. George Athanasopoulos & Farshid Vahid, 2006. "A Complete VARMA Modelling Methodology Based on Scalar Components," Monash Econometrics and Business Statistics Working Papers 2/06, Monash University, Department of Econometrics and Business Statistics. [Downloadable!]
    Other versions:
  6. George Athanasopoulos & D.S. Poskitt & Farshid Vahid, 2007. "Two canonical VARMA forms: Scalar component models vis-à-vis the Echelon form," Monash Econometrics and Business Statistics Working Papers 10/07, Monash University, Department of Econometrics and Business Statistics, revised May 2009. [Downloadable!]
  7. St-Amant, P. & Tessier, D., 1998. "A Discussion of the Reliability of Results Obtained with Long-Run Identifying Restrictions," Working Papers 98-4, Bank of Canada. [Downloadable!]
  8. Lalonde, René & Page, Jennifer & St-Amant, Pierre, 1998. "Une nouvelle méthode d'estimation de l'écart de production et son application aux États-Unis, au Canada et à l'Allemagne," Working Papers 98-21, Bank of Canada. [Downloadable!]
  9. Pedro Galeano & Daniel Peña, 2004. "Variance Changes Detection In Multivariate Time Series," Statistics and Econometrics Working Papers ws041305, Universidad Carlos III, Departamento de Estadística y Econometría. [Downloadable!]
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