Kernel density estimators for random fields satisfying an interlaced mixing condition.

Abstract: For a sequence of strictly stationary random fields that are uniformly and satisfy a Lindeberg condition, a central limit theorem is obtained for sequences of “rectangular” sums from the given random fields. The “Lindeberg CLT” is then used to prove a CLT for some kernel estimators of probability density for some strictly stationary random fields satisfying , and whose probability density and joint densities are absolutely continuous. [Copyright &y& Elsevier]