Stationarity and invertibility regions for low order starma models

The building of STARMA, space-time autoregressive moving average, models requires a working knowledge of the conditions under which a particular model represents a stationary process. Constraints on the parameter space that ensure stationarity are developed for all STARMA models of autoregressive temporal order le*ss than or equal to two and spatial order less than or equalto one when the model form utilizes scaled weights. Invertibility conditions for these same models are also given.