Ng, K.W; Tang, Q.H.; Yang. H. - International Actuarial Association / Actuarial Studies … - 2002
In this paper, we investigate asymptotic properties of the tail probabilities of the maxima of partial sums of independent random variables. For some large classes of heavy-tailed distributions, we show that the tail probabilities of the maxima of the partial sums asymptotically equal to the sum...