Approximating Catastrophic Risk Through Statistics of Extremes

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

15 Scopus Citations
Scopus Metrics
View graph of relations

Author(s)

  • JAMES MITSIOPOULOS
  • YACOV Y. HAIMES
  • DUAN LI

Detail(s)

Original languageEnglish
Pages (from-to)1223-1230
Journal / PublicationWater Resources Research
Volume27
Issue number6
Publication statusPublished - Jun 1991
Externally publishedYes

Link(s)

DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-0026299137&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(97527bb6-b3c4-4b0c-b5d0-371277c49123).html

Abstract

This paper studies the approximation of the partitioned multiobjective risk method's (PMRM) extreme‐event risk function ƒ4. The analytic expression of the approximation for ƒ4 is derived through the use of the statistics of extremes for cases where the underlying distribution is of an extreme‐value type I, II, or III, and it thus provides an effective theoretical tool for understanding the behavior of conditional expected values for a large class of distribution functions used in science and engineering. The results are confirmed for example problems of normal, Gumbel, Weibull, Pareto, lognormal, and uniform distributions.

Fingerprint

Publication fingerprints text

100
Statistics Mathematics
100
Catastrophic Risk Mathematics
100
Approximation Mathematics
100
statistics INIS
100
risks INIS
100
Extreme Value Stati... Keyphrases
66
approximations INIS
66
distribution INIS
50
Class Mathematics
50
Conditionals Mathematics
Full Fingerprint ›

Citation Format(s)

[ RIS ] [ BibTeX ]
Approximating Catastrophic Risk Through Statistics of Extremes. / MITSIOPOULOS, JAMES; HAIMES, YACOV Y.; LI, DUAN.
In: Water Resources Research, Vol. 27, No. 6, 06.1991, p. 1223-1230.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review