Eigenvector dimension reduction (EDR) method for sensitivity-free probability analysis

By Byeng Dong Youn, Zhimin Xi, Pingfeng Wang. 2008

194 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/cbe83a8c7a6c7618f4e3f5cac1b536c4dd2bc8b2

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

1. Dixiong Yang
2. Kai Zhang
3. Gang Li
4. Chao Hu
5. Byeng Dong Youn
6. Zhimin Xi
7. Behrooz Keshtegar

In Mechanics of Materials

1. Dixiong Yang
2. Kai Zhang
3. Gang Li
4. Chao Hu
5. Byeng Dong Youn
6. Zhimin Xi

In Statistics and Probability

1. Dixiong Yang
2. Chao Hu
3. Kai Zhang
4. Gang Li
5. Byeng Dong Youn
6. Zhimin Xi
7. Behrooz Keshtegar
8. Kyung K. Choi

Citations in the corpus

• System reliability-based design optimization using the MPP-based dimension reduction method (2010, unknown): “…reliability analysis methods, such as simulation or sampling methods (Lin et al. 1997; Denny 2001; Walker 1986) and the probability density function (PDF) approximation method (Rosenblueth 1981; Du and Huang 2006; Youn et al. 2008), for the actual calculation of the system probability of failure.”
• Chaos control for numerical instability of first order reliability method (2010, methodology): “Except the analytical multi-dimensional integration and direct numerical integration, the existing approximate methods for uncertainty propagation and probabilistic analysis can be basically divided into five categories as follows: (1) sampling method; (2) expansion method; (3) the most probable poi”
• A comparative study of probability estimation methods for reliability analysis (2011, methodology): “In the EDR method (Youn et al. 2008; Youn and Xi 2009), a stabilized Pearson system was proposed to avoid the instability by generating two hyper-PDFs with slightly adjusted kurtosis values.”
• A combined reliability analysis approach with dimension reduction method and maximum entropy method (2011, methodology): “…approximation of moments of the performance function by moments of individual random variables, and the moment based quadrature rule (MBQR) for its good accuracy and efficiency compared with other integration methods (Youn et al. 2008), such as the trapezoidal integration, Simpson integration etc.”