Third-Moment Standardization for Structural Reliability Analysis

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Fourth-Moment Standardization for Structural Reliability Assessment (2007, methodology): “4a and b, respectively, for the results obtained using the Rosenblatt transformation, the present fourth-moment transformation, the third-moment transformation Zhao and Ono 2000, the Fisher-Cornish expansion, and the Winterstein formula.”
Investigation of polynomial normal transform (2003, methodology): “However, the TMNT technique can never achieve monotonicity through entire sample space due to its inherent deficiency of parabola relation between X and Z.”
On the problems of the Fourth moment method (2004, methodology): “Another selection of the moment reliability index can be obtained by approximating the performance function with its first few moments using the following equation [7]”