Summary
In this paper, starting from some well known results for the structural identifiability of VARMA models of given maximum time lagsp andq, we derive parametric conditions which guarantee the identification of Generalized STARMA models.
Similar content being viewed by others
References
Barnett S. (1971),Matrices in control theory, Van Nostrand Reinold Company, London.
Deistler M. (1985), «General Structure and Parametrization of ARMA and State-Space Systems and its Relation to Statistical Problems», Handbook of Statistics, vol. 5.
Di Giacinto V. (1994), «Su una generalizzazione dei modelli spazio-temporali autoregressivi media mobile (STARMAG)»,Atti della XXXVII Riunione Scientifica SIS, Sanremo, aprile 1994, vol. II.
Hannan E. J. (1969), «The identification of vector mixed autoregressive-moving average systems«,Biometrika, 56, pp. 223–225.
Hannan E. J. (1971), «The identification problem for multiple equation systems with moving average errors»,Econometrica, 39, n. 5, pp. 751–765.
Lütkepol H. (1991),Introduction to Multiple Time Series Analysis, Springer-Verlag, Berlin.
Rizzi, A. (1988),Il linguaggio delle matrici, NIS, Roma.
Terzi, S. (1995), «Maximum likelihood estimation of a generalized STAR(p, l p ) model»,Journal of the Italian Statistical Society, vol. 4, no 3, 1995.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Guagnano, G., Terzi, S. Identifiability conditions for Generalised STARMA models. J. Ital. Statist. Soc. 6, 245 (1997). https://doi.org/10.1007/BF03178915
DOI: https://doi.org/10.1007/BF03178915