Tail value-at-risk in uncertain random environment

被引:0
|
作者
Yuhan Liu
Dan A. Ralescu
Chen Xiao
Waichon Lio
机构
[1] University of Cincinnati,Department of Mathematical Sciences
[2] Nankai University,School of Finance
[3] Tsinghua University,Department of Mathematical Sciences
来源
Soft Computing | 2020年 / 24卷
关键词
Risk analysis; Uncertainty theory; Chance theory; Tail value-at-risk;
D O I
暂无
中图分类号
学科分类号
摘要
Chance theory is a rational tool to be used in the systems which contain not only uncertainty but also randomness. In this paper, the concept of tail value-at-risk in uncertain random risk analysis is proposed and some theorems are provided for its calculation. Moreover, the tail value-at-risk is applied as the right-tail in the parallel system, series system, standby system, k-out-of-n system and structural system.
引用
收藏
页码:2495 / 2502
页数:7
相关论文
共 50 条
  • [41] Estimation of tail-related value-at-risk measures: range-based extreme value approach
    Chou, Heng-Chih
    Wang, David K.
    [J]. QUANTITATIVE FINANCE, 2014, 14 (02) : 293 - 304
  • [42] Value relevance of value-at-risk disclosure
    Lim C.Y.
    Tan P.M.-S.
    [J]. Review of Quantitative Finance and Accounting, 2007, 29 (4) : 353 - 370
  • [43] Approximations of value-at-risk as an extreme quantile of a random sum of heavy-tailed random variables
    Hannah, Lincoln
    Puza, Borek
    [J]. JOURNAL OF OPERATIONAL RISK, 2015, 10 (02): : 1 - 21
  • [44] Asymptotic representations for importance-sampling estimators of value-at-risk and conditional value-at-risk
    Sun, Lihua
    Hong, L. Jeff
    [J]. OPERATIONS RESEARCH LETTERS, 2010, 38 (04) : 246 - 251
  • [45] Value-at-Risk for country risk ratings
    McAleer, Michael
    da Veiga, Bernardo
    Hoti, Suhejla
    [J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2011, 81 (07) : 1454 - 1463
  • [46] Selection of Value-at-Risk models
    Sarma, M
    Thomas, S
    Shah, A
    [J]. JOURNAL OF FORECASTING, 2003, 22 (04) : 337 - 358
  • [47] Volatility measures and Value-at-Risk
    Bams, Dennis
    Blanchard, Gildas
    Lehnert, Thorsten
    [J]. INTERNATIONAL JOURNAL OF FORECASTING, 2017, 33 (04) : 848 - 863
  • [48] EFFICIENT VALUE-AT-RISK ESTIMATION
    Joseph, Angelo
    Kruger, Jan
    [J]. PROCEEDINGS OF THE 2011 3RD INTERNATIONAL CONFERENCE ON FUTURE COMPUTER AND COMMUNICATION (ICFCC 2011), 2011, : 281 - 284
  • [49] Semiparametric estimation of value-at-risk
    Fan, JQ
    [J]. INSURANCE MATHEMATICS & ECONOMICS, 2003, 32 (03): : 481 - 481
  • [50] Procyclical Leverage and Value-at-Risk
    Adrian, Tobias
    Shin, Hyun Song
    [J]. REVIEW OF FINANCIAL STUDIES, 2014, 27 (02): : 373 - 403