JSM 2005 - Toronto

Abstract #303032

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 508
Type: Topic Contributed
Date/Time: Thursday, August 11, 2005 : 10:30 AM to 12:20 PM
Sponsor: Section on Bayesian Statistical Science
Abstract - #303032
Title: Hierarchical Bayesian Finite Element Parameterizations of Spatio-temporal Processes with Application to Ocean Dynamics
Author(s): Ali Arab*+ and Christopher K. Wikle
Companies: University of Missouri, Columbia and University of Missouri, Columbia
Address: 55 G Broadway Village Drive, Columbia, MO, 65201, United States
Keywords: Bayesian ; hierarchical models ; spatial statistics ; finite element method ; environmetrics ; Ocean modeling
Abstract:

Ocean processes are typically complex and exhibit complicated behavior through many scales of spatial and temporal variability. Furthermore, ocean analysis problems often include complicated boundaries and, unlike the atmosphere in which data availability is relatively rich, data in the ocean are relatively sparse. This suggests the incorporation of scientific knowledge (e.g., differential equations) in the statistical model is essential. We consider efficient parameterizations of spatio-temporal models for such processes using the Finite Element Method (FEM). As an example, we consider finite element representations of ocean dynamics in a hierarchical Bayesian modeling framework.


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Revised March 2005