On properties of the second order generalized autoregressive GAR(2) model with index.

In this paper we consider a new class of time series models generated by a second order autoregressive type operator with an index. Autocorrelation and spectral properties are discussed and some explicit results are derived for a restricted class in the family. The parameter estimation is discussed...

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Bibliographic Details
Main Authors: Shitan, Mahendran, Peiris, Shelton
Format: Article
Language:English
Published: Elsevier 2009
Online Access:http://psasir.upm.edu.my/id/eprint/15905/
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Summary:In this paper we consider a new class of time series models generated by a second order autoregressive type operator with an index. Autocorrelation and spectral properties are discussed and some explicit results are derived for a restricted class in the family. The parameter estimation is discussed using the Whittle procedure. Some numerical results are presented to support the theoretical results.