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WROCŁAW UNIVERSITY
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Contents of PMS, Vol. 30, Fasc. 2,
pages 215 - 222
 

A CENTRAL LIMIT THEOREM FOR MULTIVARIATE STRONGLY MIXING RANDOM FIELDS

Cristina Tone

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 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.

Keywords and phrases: Central limit theorem, α -mixing, random field of random vectors.

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