HOW TO SUPPLEMENT THE SAFETY REQUIREMENTS

被引:0
作者
Uryasev, Stan [1 ]
Pertaia, Giorgi [1 ]
机构
[1] Univ Florida, Ind & Syst Engn, Weil Hall, Gainesville, FL 32611 USA
来源
2019 WINTER SIMULATION CONFERENCE (WSC) | 2019年
关键词
BUFFERED PROBABILITY;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Safety requirements based on Probability of Exceedance (POE) take into account only probabilities, but do not control magnitude of outcomes in the tail of the probabilistic distribution. The requirements do not constrain very large outcomes leading to industrial catastrophes. The paper shows how to upgrade safety requirements with the Buffered Probability of Exceedance (bPOE). The bPOE risk function equals a tail probability with known mean of the tail (i.e., it is a probability of the tail such that the mean of the tail equals to the specified value). The paper considers two application areas: 1) Credit ratings of financial synthetic instruments (e.g., AAA, AA, ... credit ratings); 2) Materials strength certification (A-basis, B-basis).
引用
收藏
页码:3098 / 3103
页数:6
相关论文
共 8 条
  • [1] Coherent measures of risk
    Artzner, P
    Delbaen, F
    Eber, JM
    Heath, D
    [J]. MATHEMATICAL FINANCE, 1999, 9 (03) : 203 - 228
  • [2] BUFFERED PROBABILITY OF EXCEEDANCE: MATHEMATICAL PROPERTIES AND OPTIMIZATION
    Mafusalov, Alexander
    Uryasev, Stan
    [J]. SIAM JOURNAL ON OPTIMIZATION, 2018, 28 (02) : 1077 - 1103
  • [3] Norton Matthew, 2016, MATH PROGRAM, V1, P38, DOI DOI 10.1007/S10107-018-1312-2
  • [4] Buffered Probability of Exceedance (bPOE) Ratings for Synthetic Instruments
    Pertaia, Giorgi
    Uryasev, Stan
    [J]. ADVANCES IN SERVICE SCIENCE, 2019, : 211 - 216
  • [5] Rockafellar R., 2009, INT WORKSH ENG RISK
  • [6] On buffered failure probability in design and optimization of structures
    Rockafellar, R. T.
    Royset, J. O.
    [J]. RELIABILITY ENGINEERING & SYSTEM SAFETY, 2010, 95 (05) : 499 - 510
  • [7] Conditional value-at-risk for general loss distributions
    Rockafellar, RT
    Uryasev, S
    [J]. JOURNAL OF BANKING & FINANCE, 2002, 26 (07) : 1443 - 1471
  • [8] Cash flow matching with risks controlled by buffered probability of exceedance and conditional value-at-risk
    Shang, Danjue
    Kuzmenko, Victor
    Uryasev, Stan
    [J]. ANNALS OF OPERATIONS RESEARCH, 2018, 260 (1-2) : 501 - 514