Sums of pairwise quasi-asymptotically independent random variables with consistent variation

This article investigates the tail asymptotic behavior of the sum of pairwise quasi-asymptotically independent random variables with consistently varying tails. We prove that the tail probability of the sum is asymptotically equal to the sum of individual tail probabilities. This matches a feature of subexponential distributions. This result is then extended to weighted sums and random sums.link_to_subscribed_fulltex