The strong law of large numbers for arrays of NA random variables

Convergence rates in the SLLN for some classes of dependent random fields

“…We refer only to some of them; for sequences: Newman and Wright [17] (the central limit theorem), Matula [15] (the three series theorem), Shao [22] (the Rosenthal maximal inequality, the Kolmogorov exponential inequality), Shao and Su [23] (the law of iterated logarithm), Lee, Seo and Kim [12] (the sufficient and necessary condition for complete convergence in the law of large numbers for some class of arrays of random variables), Jing and Liang [9] (strong limit theorems for weighted sums of random variables) and for fields: Roussas [21] (the central limit theorem for weakly stationary fields), Zhang and Wen [28] (the Rosenthal maximal inequality), Xia and Chu [27] (the convergence rates in the law of iterated logarithm, the Rosenthal maximal inequality for identically distributed random variables), Li [14] (the convergence rates in the law of iterated logarithm). One can find more interesting results in the recent monograph of Bulinski and Shashkin [4].…”