Author:
Ng K.W.,Tang Q.H.,Yang H.
Abstract
AbstractIn 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 of the tail probabilities of the individual random variables. Then we partially extend the result to the case of random sums. Applications to some commonly used risk processes are proposed. All heavy-tailed distributions involved in this paper are supposed on the whole real line.
Publisher
Cambridge University Press (CUP)
Subject
Economics and Econometrics,Finance,Accounting
Cited by
38 articles.
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