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\(L^r\) convergence of weighted sums for arrays of rowwise \(\Tilde\rho\) mixing random variables. (Chinese. English summary) Zbl 1150.60336

Summary: We discuss \(L^r\) convergence of weighted sums \(\sum\limits^{K_n}_{i=1} a_{ni}X_{ni}\), where \(\{X_{ni}, \, 1\leq i\leq K_n \uparrow\infty, n\geq 1\}\) is an arrays of rowwise \(\Tilde\rho\) mixing random variables, \(\{a_{ni}, \, 1\leq i\leq K_n \uparrow\infty, \, n\geq 1\}\) is an arrays of real numbers.

MSC:

60F15 Strong limit theorems
60F25 \(L^p\)-limit theorems