An important inequality for distribution of maximum independent random variables is Levy inequality. In this paper, a version of this inequality for weakly negative dependent random variables will be provided. The strong law for dependent random variables has been studied by different authors. In this research, also, the weighted complete convergence for arrays of rowwise negatively dependent random variables that are stochastically bounded will be obtained. complete convergence and strong law for such random variables will result.
NiliSani H R, Amini M, Bozorgnia A. Levy type inequality and another view of the strong law of large numbers for dependent random variables. JSS 2016; 10 (1) :159-173 URL: http://jss.irstat.ir/article-1-312-en.html