文档介绍:Chin. Quart. J. of , 28 (4): 546—plete Convergence for Arrays ofRowwise -mixing Random VariablesLI Jing(School of Economics, Anhui University, Hefei 230601, China; School of Mathematics and Statistics,Suzhou University, Suzhou 234000, China)Abstract: In the paper, plete convergence for arrays of rowwise -mixing randomvariables is studied. Some sucient conditions plete convergence for an array of row-wise -mixing random variables without assumptions of identical distribution and stochasticdomination are words: -mixing sequence; array of rowwise -mixing random variables; completeconvergence2000 MR Subject Classication: 60F15CLC number: Document code: AArticle ID: 1002–0462 (2013) 04–0546–09§1. IntroductionLet {Xn, n ≥ 1} be a sequence of random variables dened on a xed probability space(, F, P) with value in a real space R. We say that the sequence {Xn, n ≥ 1} satises thestrong law of large numbers if there exist some increasing sequence {bn, n ≥ 1} and somesequence {an, n ≥ 1} such that1bnni=1(Xi ai) → 0, . as n →∞.Many authors have extended the strong law of large numbers for sequences of random variablesto the case of triangular array of rowwise random variables and arrays of rowwise randomvariables. In the case of independence, Hu and Taylor[1]proved the following strong law oflarge date: 2012-02-06Foundation item: Supported