Semiparametric spatio-temporal covariance models with the ARMA temporal margin

摘要

Starting from a purely spatial variogram, this paper derives a class of semiparametric spatio-temporal covariance models that are stationary in time but not necessarily stationary in space. In particular, we obtain spatio-temporal covariance models with the continuous-time autoregressive and moving average (ARMA) temporal margin and long-range dependent spatial margin.