TY - BOOK AU - Au,Siu-Kui AU - Wang,Yu TI - Engineering risk assessment with subset simulation SN - 9781118398050 AV - TA330 .A839 2014 U1 - 519.2 PY - 2014/// CY - Singapore PB - Wiley KW - Engineering design KW - Mathematics KW - Risk assessment KW - Set theory KW - Electronic books N1 - Includes bibliographical references and index N2 - This book starts with the basic ideas in uncertainty propagation using Monte Carlo methods and the generation of random variables and stochastic processes for some common distributions encountered in engineering applications. It then introduces a class of powerful simulation techniques called Markov Chain Monte Carlo method (MCMC), an important machinery behind Subset Simulation that allows one to generate samples for investigating rare scenarios in a probabilistically consistent manner. The theory of Subset Simulation is then presented, addressing related practical issues encountered in th UR - http://onlinelibrary.wiley.com/book/10.1002/9781118398050 ER -