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Limiting behaviors of weighted sums for linearly negative quadrant dependent random variables. (English) Zbl 1126.60026
Summary: The strong convergence for weighted sums of linearly negative quadrant dependent (LNQD) arrays is discussed. The central limit theorem for weighted sums of LNQD variables and linear processes based on LNQD variables is also considered. Finally, the results on i.i.d. variables of D. Li, M. B. Rao, T. Jiang and X. Wang [J. Theor. Probab. 8, No.1, 49-76 (1995; Zbl 0814.60026)] in LNQD setting are obtained.
##### MSC:
 60F15 Strong limit theorems 60F05 Central limit and other weak theorems