基于线性和条件下的失真风险测度尾部渐近性质
详细信息    查看全文 | 推荐本文 |
  • 英文篇名:Asymptotic Tail Probabilities of Distortion Risk Measurement Based on Linear Combinations of Order Statistics
  • 作者:邹沛清 ; 陈守全
  • 英文作者:ZOU Pei-qing;CHEN Shou-quan;School of Mathematics and Statistics,Southwest University;
  • 关键词:极值理论 ; 失真风险测度 ; 失真函数 ; 极值吸引场 ; 正则变换
  • 英文关键词:extreme value theory;;distortion risk measurement;;distortion function;;max-domain of attraction;;regular variation
  • 中文刊名:XNND
  • 英文刊名:Journal of Southwest University(Natural Science Edition)
  • 机构:西南大学数学与统计学院;
  • 出版日期:2019-01-20
  • 出版单位:西南大学学报(自然科学版)
  • 年:2019
  • 期:v.41;No.289
  • 基金:国家自然科学基金项目(11571283)
  • 语种:中文;
  • 页:XNND201901012
  • 页数:6
  • CN:01
  • ISSN:50-1189/N
  • 分类号:78-83
摘要
对随机权重的次序统计量线性和条件下的失真风险测度尾部进行了讨论,并得到了相应的一些渐近性质.
        In this note,we investigate the tail distortion risk for linear combinations of randomly weighted order statistics,and obtain the asymptotic properties.
引文
[1] LEADBETTER M R,LINDGREN G,ROOTZEN H.Extremes and Related Properties of Random Sequences and Processes[M].New York:Springer New York,1983.
    [2] RESNICK S I.Extreme Values,Regular Variation,and Point Processes[M].New York:Springer New York,1987.
    [3] ZHU L,LI H.Tail Distortion Risk and Its Asymptotic Analysis[J].Insurance:Mathematics and Economics,2012,51(1):115-121.
    [4] ASIMITAV,HASHORVAE,KORYSCHAK D.Asymptotic Tail Probability of Randomly Weighted Large Risks[EB/OL].(2014-05-03)[2017-06-20].http://cn.arxiv.org/pdf/1405.0593v1.
    [5] ASIMIT A V,LI J.Extremes for Coherent Risk Measures[J].Insurance:Mathematics and Economics,2016,71:332-341.
    [6] MITRA A,RESNICK S I.Aggregation of Rapidly Varying Risks and Asymptotic Independence[J].Advances in Applied Probability,2009,41(3):797-828.
    [7] ASIMIT A V,FURMAN E,TANG Q,et al.Asymptotics for Risk Capital Allocations Based on Conditional Tail Expectation[J].Insurance:Mathematics and Economics,2011,49(3):310-324.
    [8] HASHORVAE,LI J Z.Tail Behaviour of Weighted Sums of Order Statistics of Dependent Risks[J].Communications in Statistics StochasticModels,2014,31(1):1-19.

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700