Complete Convergence for Arrays of Rowwise Asymptotically Almost Negatively Associated Random Variables

الملخص EN

Let {Xni,i≥1,n≥1} be an array of rowwise asymptotically almost negatively associated random variables.

Some sufficient conditions for complete convergence for arrays of rowwise asymptotically almost negatively associated random variables are presented without assumptions of identical distribution.

As an application, the Marcinkiewicz-Zygmund type strong law of large numbers for weighted sums of asymptotically almost negatively associated random variables is obtained.