Analysis and computation with hybrid random set stochastic Models

被引：17

作者：

Oberguggenberger, Michael ^{[1
]}

机构：

[1] Leopold Franzens Univ Innsbruck, Inst Grundlagen Tech Wissensch, A-6020 Innsbruck, Austria

来源：

STRUCTURAL SAFETY | 2015年 / 52卷

关键词：

Uncertainty analysis; Stochastic processes; Random sets; Hybrid models; Monte Carlo simulation; Sensitivity analysis; SENSITIVITY-ANALYSIS; DIFFERENTIAL-EQUATIONS; RELIABILITY-ANALYSIS; MULTIVARIATE MODELS; SLOPE HYDROLOGY; UNCERTAINTY; PROBABILITY; PARAMETERS; INTERVAL; REPRESENTATIONS;

D O I：

10.1016/j.strusafe.2014.05.008

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

Engineering structures are usually modelled as input-output maps: the response is a function of input parameters and driving forces, both being nondeterministic and uncertain. The paper addresses and advertises recent methods combining stochastic processes and imprecise probability, namely random fields for the description of loads and random sets for the description of uncertain input parameters. This approach covers interval analysis, fuzzy sets, Dempster-Shafer structures and random variables and their hybrid combination with stochastic processes. The methods are demonstrated using an example from geotechnics, including an application to sensitivity analysis. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：233 / 243

页数：11

共 50 条

[11] Advances in computation of the maximum of a set of gaussian random variables
Sinha, Debjit
Zhou, Hai
Shenoy, Narendra V.
[J]. IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS, 2007, 26 (08) : 1522 - 1533
[12] Synchronization and control in intrinsic and designed computation: An information-theoretic analysis of competing models of stochastic computation
Crutchfield, James P.
Ellison, Christopher J.
James, Ryan G.
Mahoney, John R.
[J]. CHAOS, 2010, 20 (03)
[13] Stochastic computation based on orthogonal expansion of random fields
Xu, X. Frank
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2011, 200 (41-44) : 2871 - 2881
[14] Stochastic computation of medial axis in Markov random fields
Zhu, SC
[J]. 1998 IEEE COMPUTER SOCIETY CONFERENCE ON COMPUTER VISION AND PATTERN RECOGNITION, PROCEEDINGS, 1998, : 72 - 79
[15] A Stochastic Hybrid Systems framework for analysis of Markov reward models
Dhople, S. V.
De Ville, L.
Dominguez-Garcia, A. D.
[J]. RELIABILITY ENGINEERING & SYSTEM SAFETY, 2014, 123 : 158 - 170
[16] Random set models of fire spread
Vorobov, OY
[J]. FIRE TECHNOLOGY, 1996, 32 (02) : 137 - 173
[17] EFFICIENT COMPUTATION OF SOBOL' INDICES FOR STOCHASTIC MODELS
Hart, J. L.
Alexanderian, A.
Gremaud, P. A.
[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2017, 39 (04): : A1514 - A1530
[18] Stochastic frontier models with random coefficients
Tsionas, EG
[J]. JOURNAL OF APPLIED ECONOMETRICS, 2002, 17 (02) : 127 - 147
[19] Stochastic orderings in random utility models
Joe, H
[J]. MATHEMATICAL SOCIAL SCIENCES, 2002, 43 (03) : 391 - 404
[20] Models of computation and simulation of hybrid systems
Sangiovanni-Vincentelli, A
[J]. HYBRID SYSTEMS: COMPUTATION AND CONTROL, 2000, 1790 : 5 - 5

← 1 2 3 4 5 →