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ON THE AUTOCORRELATION STRUCTURE AND IDENTIFICATION OF SOME BILINEAR TIME SERIES
Authors:W. K. Li
Affiliation:Department of Statistics, University of Hong Kong
Abstract:Abstract. For the bilinear time series X t =β X t-k e t-l + e v , k ≥ l , formulas for the first k -1 autocorrelations of X 2 t are obtained. These results fill in a gap in Granger and Andersen (1978). Simulation experiments are used to study the applicability of theoretical results and to investigate some more general situations. It is found that if ß is not too small, k and l may be identified using the autocorrelations of X 2 t . Application to more general situations is also briefly discussed.
Keywords:Autocorrelations    bilinear time series    diagonal    superdiagonal and sub-diagonal models    model identification
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