On the sequential space lattice fitting of two-dimensional subset autoregressions

Terence O'Neill, Jack Penm*, R. D. Terrell

*Corresponding author for this work

Research output: Contribution to journalArticleResearchpeer-review


The space lattice recursive fitting algorithm to select the optimum two-dimensional (2-D) full-order autoregressive models (AR) is generalised to apply to 2-D subset ARs, including full-order models. It is initiated by fitting all 'forward' and 'backward' one-lag 2-D ARs. The method thus allows us to develop successively all 2-D subset ARs of size κ (the number of lags with nonzero coefficient matrices) from 1 to K. Finally, the best subsets of each size with the minimum generalised residual power for that size are compared to a modified 2-D model selection criterion to find the optimum 2-D subset AR.

Original languageEnglish
Pages (from-to)1993-1998
Number of pages6
JournalApplied Mathematical Sciences
Issue number37-40
Publication statusPublished - 2011


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