10.26180/5b8375b2794a9
ARVIND RAJAN
ARVIND
RAJAN
Moment-Based Uncertainty Propagation Using Multivariate Polynomials: Advances in Probabilistic Engineering Design
Monash University
2018
Uncertainty
Measurement
Mellin Transform
Polynomials
Method of Moments
Maximum Entropy Method
Probability Density Function
Reliability Analysis
Robustness Analysis
Reliability-Based Design Optimisation
Reliability-Based Robust Design Optimisation
Robust Design Optimisation
Engineering Design
Cumulative Distribution Function
Random Variable
Performance-Based Design
Probability Theory
Probability
Statistics
Manufacturing Safety and Quality
Entropy
Electrical and Electronic Engineering not elsewhere classified
Optimisation
Performance Evaluation; Testing and Simulation of Reliability
Applied Statistics
Design
2018-08-27 03:53:20
Thesis
https://bridges.monash.edu/articles/thesis/Moment-Based_Uncertainty_Propagation_Using_Multivariate_Polynomials_Advances_in_Probabilistic_Engineering_Design/6998936
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.