Description: We first provide a detailed motivation for using probability theory as a mathematical context in which to analyze engineering and scientific systems that possess uncertainties. We then present introductory notes on the function analytic approach to probabilistic analysis, emphasizing the connections to various classical deterministic mathematical analysis elements. Lastly, we describe how to use the approach as a means to augment deterministic analysis methods in a particular Hilbert space context, and thus enable a rigorous framework for commingling deterministic and probabilistic analysis tools in an application setting.
Date: February 1, 2008
Creator: Ghanem, Roger Georges (University of Southern California, Los Angeles, CA) & Red-Horse, John Robert
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department