An L 2 -test for comparing spatial spectral densities

Abstract: We consider and second-order stationary spatial processes. Our goal is to test whether the dependence structure is the same for both processes, that is, , where each denotes the spectral density of each observed process, for . We study the asymptotic distribution for a Cramer-von-Mises type test statistic, under and under local alternatives. A simulation study showing the performance of the test is also provided. [Copyright &y& Elsevier]