Modeling and Inverse Problems in the Presence of Uncertainty ... - 9781482206425

CRC Press

Modeling and Inverse Problems in the Presence of UncertaintyAuthor(s): H. T. Banks, Shuhua Hu, W. Clayton Thompson\nFormat: Hardback\nPublisher: Taylor & Francis Inc, United States\nImprint: Chapman & Hall/CRC\nISBN-13: 9781482206425, 978-1482206425\nSynopsis\nModeling and Inverse Problems in the Presence of Uncertainty collects recent researchincluding the authors own substantial projectson uncertainty propagation and quantification. It covers two sources of uncertainty: where uncertainty is present primarily due to measurement errors and where uncertainty is present due to the modeling formulation itself. \n\nAfter a useful review of relevant probability and statistical concepts, the book summarizes mathematical and statistical aspects of inverse problem methodology, including ordinary, weighted, and generalized least-squares formulations. It then discusses asymptotic theories, bootstrapping, and issues related to the evaluation of correctness of assumed form of statisticals