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DOI:10.1061/(ASCE)1090-0241(1999)125:9(779) - Corpus ID: 123521485
@article{Christian2001POINTESTIMATEMA, title={POINT-ESTIMATE METHOD AS NUMERICAL QUADRATURE}, author={J. T. Christian and Gregory B. Baecher}, journal={Journal of Geotechnical and Geoenvironmental Engineering}, year={2001}, volume={125}, pages={779-786}, url={https://api.semanticscholar.org/CorpusID:123521485}}- J. Christian, G. Baecher
- Published 2001
- Engineering, Mathematics
- Journal of Geotechnical and Geoenvironmental Engineering
Rosenblueth's (1975) point-estimate method for approximating the low-order moments of functions of random variables is widely used in geotechnical reliability analyses. It is a special case of numerical quadrature based on orthogonal polynomials. For normal variables, it corresponds to Gauss-Hermite quadrature, but Rosenblueth's procedure automatically generates the weights and abscissas of Gauss-Legendre and Gauss-Laguerre quadrature as well. Despite beliefs to the contrary, the method is not…
107 Citations
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107 Citations
- S. FranceschiniChristina W. TsaiM. Marani
- 2012
Engineering, Geology
- 16
- PDF
- J. ChristianG. Baecher
- 2002
Engineering, Geology
Rosenbleuth's point‐estimate method has become widely used in geotechnical practice for reliability calculations. Although the point‐estimate method is a powerful and simple method for evaluating the…
- 80
- Highly Influenced
- Christina W. TsaiS. Franceschini
- 2005
Environmental Science, Engineering
It is concluded in this study that the modified RosenbLUeth method has a comparable performance to the Rosenblueth method and yet resolves the nonuniqueness problem in solutions.
- 52
- Minhyeok KoKonstantinos G. Papakonstantinou
- 2024
Mathematics, Computer Science
ArXiv
This paper presents in detail the originally developed Quadratic Point Estimate Method (QPEM), aimed at efficiently and accurately computing the first four output moments of probabilistic…
- G. F. Napa-GarcíaA. BeckT. Celestino
- 2017
Engineering, Geology
- 26
- Khalid OubennaceurK. ChokmaniM. NastevM. TanguyS. Raymond
- 2018
Engineering, Environmental Science
A reliability approach referred to as the point estimate method (PEM) is presented to assess the uncertainty of a two-dimensional hydraulic model. PEM is a special case of numerical quadrature based…
- 15 [PDF]
- F. VaninK. Beyer
- 2018
Engineering
A simple logic tree approach, where a moment-matchin g technique is proposed to define the optimal sampling points a d combination weights to apply to its branches, and a novel application to structural e ngineering of a recently proposed Point Estimate Me thod (PEM), which aims at reducing the required number of simul ations further, is tested.
- 1
- PDF
- Xiaohui YuD. Lu
- 2015
Engineering, Mathematics
This article presents an advanced point estimate method (APEM) with the purposes of estimating the moments of model outputs and identifying the sensitivities of inputs variables. The APEM consists of…
- 4
- S. MetyaG. Bhattacharya
- 2013
Engineering, Environmental Science
Indian Geotechnical Journal
The paper presents a computational procedure for reliability analysis of earth slopes in which the probabilistic critical slip surface is located using a mathematical programming formulation similar…
- 1
- S. MetyaG. Bhattacharya
- 2014
Engineering, Environmental Science
The paper presents a computational procedure for reliability analysis of earth slopes in which the probabilistic critical slip surface is located using a mathematical programming formulation similar…
- 19
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