In this paper asymptotic expansions for second-order moments of
integral functionals of a family of wide-sense homogeneous
epsilon-correlated fields are considered. The asymptotic expansions
are derived for epsilon tending to 0 and extend the results for integrals of
scalar and vector valued wide-sense stationary processes to the case of
multidimensional integrals.
Keywords :
asymptotic expansion, second-order moment, weakly correlated field, homogeneous field