Conditions for the existence of stationary and causal space-time bilinear model and central limit theorem (Q1753769)

Summary: In this paper, we present a spatio-temporal model that provides a spatial structure to bilinear processes. The organisation of the paper is as follows: in Section 2, we introduce some definitions and recall some results about space-time bilinear models. In Section 3, we establish, under the minimal set of assumptions, the existence and time stationarity of \(Xt(u)\). Our main result is given the Section 4, where a Central Limit Theorem (CLT) is obtained. In Section 5, we give some simple examples.