Moment-Based Uncertainty Propagation Using Multivariate Polynomials: Advances in Probabilistic Engineering Design

The research embarked on an adventurous journey five years ago to synthesise a novel and effective framework for the probabilistic analyses of engineering systems. The framework took the unpopular approach of using statistical moments to enable both better accuracy and much faster computation compared to the mainstream methods. Crucial theoretical developments in mathematical statistics became the key to unlock the full potential of the moment approach; which in turn, has led to the design of more economical yet safe real-world systems across multiple engineering disciplines, especially in the mission-critical projects where reliability and safety are the principal objectives.