ON FUNCTIONAL CENTRAL LIMIT THEOREMS FOR LINEAR RANDOM FIELDS WITH DEPENDENT INNOVATIONS
ON FUNCTIONAL CENTRAL LIMIT THEOREMS FOR LINEAR RANDOM FIELDS WITH DEPENDENT INNOVATIONS
Abstract For a linear random field (linear p -parameter stochastic process) generated by a dependent random field with zero mean and finite q th moments ( q >2 p ), we give sufficient conditions that the linear random field converges weakly to a multiparameter standard Brownian motion if the corresponding …