Measuring systemic risk for mechanical structures using conditional probability

Research output: Chapter in book/report/conference proceedingConference contributionResearch

Authors

Research Organisations

View graph of relations

Details

Original languageEnglish
Title of host publicationProceedings of the 29th European Safety and Reliability Conference, ESREL 2019
EditorsMichael Beer, Enrico Zio
Pages4316-4320
Number of pages5
ISBN (electronic)9789811127243
Publication statusPublished - 2020
Event29th European Safety and Reliability Conference, ESREL 2019 - Leibniz University Hannover, Hannover, Germany
Duration: 22 Sept 201926 Sept 2019

Abstract

This paper presents a novel and alternative framework for measuring the probability of failures for sustaining mechanical structures. The concept of systemic risk measures from the financial mathematics literature is used for modeling the entire system, which finally generalizes the methodology of structural reliability-based optimization procedures. The proposed systemic risk measures provide collections of deterministic input parameters for the structure model leading to a stochastic output determined by a predefined acceptance set. Further, using conditional probabilities within this acceptance criterion paves the way for considering conditional events in structural reliability analysis.

Keywords

    Conditional Probability of Failure, Mechanical Structures, Reliability-Based Optimization, Systemic Risk

ASJC Scopus subject areas

Cite this

Measuring systemic risk for mechanical structures using conditional probability. / Eckert, Christoph; Beer, Michael.
Proceedings of the 29th European Safety and Reliability Conference, ESREL 2019. ed. / Michael Beer; Enrico Zio. 2020. p. 4316-4320.

Research output: Chapter in book/report/conference proceedingConference contributionResearch

Eckert, C & Beer, M 2020, Measuring systemic risk for mechanical structures using conditional probability. in M Beer & E Zio (eds), Proceedings of the 29th European Safety and Reliability Conference, ESREL 2019. pp. 4316-4320, 29th European Safety and Reliability Conference, ESREL 2019, Hannover, Germany, 22 Sept 2019. https://doi.org/10.3850/978-981-11-0745-0 1137-cd
Eckert, C., & Beer, M. (2020). Measuring systemic risk for mechanical structures using conditional probability. In M. Beer, & E. Zio (Eds.), Proceedings of the 29th European Safety and Reliability Conference, ESREL 2019 (pp. 4316-4320) https://doi.org/10.3850/978-981-11-0745-0 1137-cd
Eckert C, Beer M. Measuring systemic risk for mechanical structures using conditional probability. In Beer M, Zio E, editors, Proceedings of the 29th European Safety and Reliability Conference, ESREL 2019. 2020. p. 4316-4320 doi: 10.3850/978-981-11-0745-0 1137-cd
Eckert, Christoph ; Beer, Michael. / Measuring systemic risk for mechanical structures using conditional probability. Proceedings of the 29th European Safety and Reliability Conference, ESREL 2019. editor / Michael Beer ; Enrico Zio. 2020. pp. 4316-4320
Download
@inproceedings{9e627bfb3e684b409104deacc6a00318,
title = "Measuring systemic risk for mechanical structures using conditional probability",
abstract = "This paper presents a novel and alternative framework for measuring the probability of failures for sustaining mechanical structures. The concept of systemic risk measures from the financial mathematics literature is used for modeling the entire system, which finally generalizes the methodology of structural reliability-based optimization procedures. The proposed systemic risk measures provide collections of deterministic input parameters for the structure model leading to a stochastic output determined by a predefined acceptance set. Further, using conditional probabilities within this acceptance criterion paves the way for considering conditional events in structural reliability analysis.",
keywords = "Conditional Probability of Failure, Mechanical Structures, Reliability-Based Optimization, Systemic Risk",
author = "Christoph Eckert and Michael Beer",
year = "2020",
doi = "10.3850/978-981-11-0745-0 1137-cd",
language = "English",
pages = "4316--4320",
editor = "Michael Beer and Enrico Zio",
booktitle = "Proceedings of the 29th European Safety and Reliability Conference, ESREL 2019",
note = "29th European Safety and Reliability Conference, ESREL 2019, ESREL 2019 ; Conference date: 22-09-2019 Through 26-09-2019",

}

Download

TY - GEN

T1 - Measuring systemic risk for mechanical structures using conditional probability

AU - Eckert, Christoph

AU - Beer, Michael

PY - 2020

Y1 - 2020

N2 - This paper presents a novel and alternative framework for measuring the probability of failures for sustaining mechanical structures. The concept of systemic risk measures from the financial mathematics literature is used for modeling the entire system, which finally generalizes the methodology of structural reliability-based optimization procedures. The proposed systemic risk measures provide collections of deterministic input parameters for the structure model leading to a stochastic output determined by a predefined acceptance set. Further, using conditional probabilities within this acceptance criterion paves the way for considering conditional events in structural reliability analysis.

AB - This paper presents a novel and alternative framework for measuring the probability of failures for sustaining mechanical structures. The concept of systemic risk measures from the financial mathematics literature is used for modeling the entire system, which finally generalizes the methodology of structural reliability-based optimization procedures. The proposed systemic risk measures provide collections of deterministic input parameters for the structure model leading to a stochastic output determined by a predefined acceptance set. Further, using conditional probabilities within this acceptance criterion paves the way for considering conditional events in structural reliability analysis.

KW - Conditional Probability of Failure

KW - Mechanical Structures

KW - Reliability-Based Optimization

KW - Systemic Risk

UR - http://www.scopus.com/inward/record.url?scp=85089198012&partnerID=8YFLogxK

U2 - 10.3850/978-981-11-0745-0 1137-cd

DO - 10.3850/978-981-11-0745-0 1137-cd

M3 - Conference contribution

AN - SCOPUS:85089198012

SP - 4316

EP - 4320

BT - Proceedings of the 29th European Safety and Reliability Conference, ESREL 2019

A2 - Beer, Michael

A2 - Zio, Enrico

T2 - 29th European Safety and Reliability Conference, ESREL 2019

Y2 - 22 September 2019 through 26 September 2019

ER -

By the same author(s)