沈新美

个人信息Personal Information

副教授

硕士生导师

性别:女

毕业院校:浙江大学

学位:博士

所在单位:数学科学学院

学科:概率论与数理统计. 金融数学与保险精算

办公地点:数学楼607

联系方式:xshen@dlut.edu.cn

电子邮箱:xshen@dlut.edu.cn

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Moderate deviations for sums of dependent claims in a size-dependent renewal risk model

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论文类型:期刊论文

发表时间:2017-04-03

发表刊物:COMMUNICATIONS IN STATISTICS-THEORY AND METHODS

收录刊物:SCIE、EI、Scopus

卷号:46

期号:7

页面范围:3235-3243

ISSN号:0361-0926

关键字:Consistent variation; Extended negative dependence; Moderate deviation; Size-dependent renewal model

摘要:In this article, we consider a non standard renewal risk model, in which pairs of claim sizes and its corresponding inter-arrival times are identically distributed, and each pair obeys a dependence structure. By assuming that the claim sizes form a sequence of extended negatively dependent random variables with consistently varying tails, moderate deviations for the aggregate amount of dependent claims are obtained.