Identification of marginal and joint CDFs using Bayesian method for RBDO

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System reliability-based design optimization using the MPP-based dimension reduction method (2010, unknown): “It is known that σ ′f , b, and ε′f, c are highly negatively correlated (Noh et al. 2009a; Socie 2003; Annis 2004).”
Structural reliability analysis using a copula-function-based evidence theory model (2014, methodology): “[46] made a comparison between two selection approaches of copula functions, namely Goodness of Fit (GOF) test and Bayesian method, and furthermore used the copula function to handle RBDO problem [47].”
Reliability-based design optimization with confidence level under input model uncertainty due to limited test data (2011, methodology): “In the proposed method, the input statistical model is estimated using the Bayesian method, which correctly identified the distribution types through statistical studies (Noh et al. 2008, 2010).”
Second‐order reliability method‐based inverse reliability analysis using Hessian update for accurate and efficient reliability‐based design optimization (2014, methodology): “Hence, FORM linearizes the performance function at MPP in the standard normal U-space obtained through the Rosenblatt transformation [32] as”