Publication detail

From probabilistic to quantile-oriented sensitivity analysis: New indices of design quantiles

KALA, Z.

Original Title

From probabilistic to quantile-oriented sensitivity analysis: New indices of design quantiles

Type

journal article in Web of Science

Language

English

Original Abstract

In structural reliability analysis, sensitivity analysis (SA) can be used to measure how an input variable influences the failure probability Pf of a structure. Although the reliability is usually expressed via Pf, Eurocode building design standards assess the reliability using design quantiles of resistance and load. The presented case study showed that quantile-oriented SA can provide the same sensitivity ranking as Pf-oriented SA or local SA based on Pf derivatives. The first two SAs are global, so the input variables are ranked based on total sensitivity indices subordinated to contrasts. The presented studies were performed for Pf ranging from 9.35x10^-8 to 1–1.51x10^-8. The use of quantile-oriented global SA can be significant in engineering tasks, especially for very small Pf. The proposed concept provided an opportunity to go much further. Left-right symmetry of contrast functions and sensitivity indices were observed. The article presents a new view of contrasts associated with quantiles as the distance between the average value of the population before and after the quantile. This distance has symmetric hyperbola asymptotes for small and large quantiles of any probability distribution. Following this idea, new quantile-oriented sensitivity indices based on measuring the distance between a quantile and the average value of the model output are formulated in this article.

Keywords

Sensitivity analysis, reliability, failure probability, quantile, civil engineering, Limit states, mathematical model, uncertainty

Authors

KALA, Z.

Released

19. 10. 2020

Publisher

MDPI

ISBN

2073-8994

Periodical

Symmetry

Year of study

12

Number

10

State

Swiss Confederation

Pages from

1

Pages to

22

Pages count

22

URL

https://www.mdpi.com/2073-8994/12/10/1720

Full text in the Digital Library

http://hdl.handle.net/11012/196479

BibTex

@article{BUT169515,
  author="Zdeněk {Kala}",
  title="From probabilistic to quantile-oriented sensitivity analysis: New indices of design quantiles",
  journal="Symmetry",
  year="2020",
  volume="12",
  number="10",
  pages="1--22",
  doi="10.3390/sym12101720",
  issn="2073-8994",
  url="https://www.mdpi.com/2073-8994/12/10/1720"
}