A Space‐Time Bilinear Model and its Identification

Yuqing Dai and L. Billard

Journal of Time Series Analysis, 1998, vol. 19, issue 6, 657-679

Abstract: In this paper we propose a class of space–time bilinear (STBL) models which can be used to model space–time series which exhibit bilinear behavior. The STBL model is shown to be an extension of a space–time autoregressive moving‐average model and a special form of the multiple bilinear model. We focus on the identification procedure of the models. Some results about stationarity and the covariance structure of these models are also discussed. An identification procedure based on the squared observations is established for the simplest pure bilinear model and some illustrative examples are provided.

Date: 1998
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