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Strong stability of weighted sums of NA random variables

whenever the covariance exists. An infinite family of random variables {Xi, i≥ 1} is NA if every finite subfamily is NA. This concept was introduced by Joag-Dev and Proschan [5]. They also pointed out and proved in their paper that a number of well-known multivariate distributions possess the NA property. Now people know that NA random variables have wide application in reliability theory and multivariate statistical analysis. Recently Su et al. [12] show that NA structure plays an important role in risk management. Because of these reasons, the notions of NA random variables have received more and more attention in recent years. A great number of papers for NA random variables have appeared in