LIMIT THEOREMS FOR SEQUENCE OF DEPENDENT RANDOM VARIABLES

This paper gives two results about sequenoe of pairwise positive quadrant dependent random variables. One is a about the convergence almost everywhere of its series, the other, the stability of sums of its weighted random variables. There is also a result about stability of sums of weighted associated random variables in this paper. It gives at last a counter example to indicate that the condition of the convergenoe of a series as given in this paper can not be waekened.