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论文类型：期刊论文

发表时间：2014-01-02

发表刊物：COMMUNICATIONS IN STATISTICS-THEORY AND METHODS

收录刊物：SCIE、EI、Scopus

卷号：43

期号：1

页面范围：28-43

ISSN号：0361-0926

关键字：Consistently varying tails; Precise large deviations; Random sums

摘要：In this article, we investigate the precise large deviations for a sum of independent but not identical distributed random variables. {X-n, n1} are independent non-negative random variables with distribution functions {F-n, n1}. We assume that the average of right tails of distribution functions F-n is equivalent to some distribution function F with consistently varying tails. In applications, we apply our main results to a realistic example (Pareto-type distribution) and obtain a specific result.