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Vietnam Journal of Mathematics 37:4 (2009) 491-502  

Central Limit Theorems for Mixing Arrays II

Dao Quang Tuyen

Abstract.  This paper, continuing [9], gives more C.L.T.s for $\ell$'-mixing random variables and the likes, which improve those of Withers [10], Dvoretzky [2], Serfling [8] and Mcleish [6], created for $\ell$-mixing, α-mixing, β-mixing, martingale and martingale-like random variables.

2000 Mathematics Subject Classification: 60F05, 60G42, 60G12.

Keywords: Central limit theorem, mixing, strong mixing, absolutely regular, dependent, martingale, martingale-like.

 

 

 

 

 

 

 

 

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