A CENTRAL LIMIT THEOREM FOR MULTIVARIATE STRONGLY
MIXING RANDOM FIELDS
Abstract: In this paper we extend a theorem of Bradley under interlaced mixing and strong
mixing conditions. More precisely, we study the asymptotic normality of the normalized
partial sum of an -mixing strictly stationary random field of random vectors, in the
presence of another dependence assumption.
2000 AMS Mathematics Subject Classification: Primary: 60F05; Secondary:
60G60.
Keywords and phrases: Central limit theorem, -mixing, random field of random
vectors.