科研之友
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摘要
Several authors have studied the uniform estimate for the tail probabilities of randomly weighted sums and their maxima. In this paper, we generalize their work to the situation that {X (i) , i a parts per thousand yen 1} is a sequence of upper tail asymptotically independent random variables with common distribution from the class , and {theta (i) , i a parts per thousand yen 1} is a sequence of nonnegative random variables, independent of {X (i) , i a parts per thousand yen 1} and satisfying some regular conditions. Moreover, no additional assumption is required on the dependence structure of {theta (i) , i a parts per thousand yen 1}.
