A central limit theorem for multivariate strongly mixing random fields

Abstrakt

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 α-mixing strictly stationary random field of random vectors, in the presence of another dependence assumption.
2000 AMS Mathematics Subject Classification: Primary: 60F05; Secondary: 60G60.