Title: On the application of strong approximation to weak convergence of products of sums for dependent random variables
Author(s):

	P.Matuła (Maria Curie-Skłodowska University, pl. M.C.-Skłodowskiej 1, 20-031 Lublin, Poland) ,
	I.Stępień (Maria Curie-Skłodowska University, pl. M.C.-Skłodowskiej 1, 20-031 Lublin, Poland)

We present the application of the strong approximation theorems to the study of weak convergence of products of sums of positive random variables. We focus our attention on sequences of dependent random variables such as associated and mixing sequences.

Key words: weak convergence, strong approximation, dependent random variables, FKG inequalities
PACS: 02.50.Cw

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