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Activity Number: 486
Type: Invited
Date/Time: Thursday, August 2, 2007 : 8:30 AM to 10:20 AM
Sponsor: Section on Bayesian Statistical Science
Abstract - #308077
Title: Nonparametric Modeling for Spatial Functional Data Analysis
Author(s): Alan E. Gelfand*+
Companies: Duke University
Address: ISDS, Durham, NC, 27708-0251,
Keywords: Dirichlet processes ; hierarchical model ; random functions
Abstract:

Recently there has been increased interest in flexible modeling for functional data analysis. We consider a strategy based upon Dirichlet process mixing. But then, we may encounter unknown functions at various spatial locations. However, we might expect that functions closer to each other in space will be more similar than those farther apart. We would like to develop a spatial process model that is again, nonparametric but captures this behavior. Here we can employ spatial Dirichlet processes. Altogether, we create a Bayesian nonparametric model for spatial functional data analysis. We illustrate the application of this modeling methodology with a dataset involving temperature vs. depth relationships at many locations in the Atlantic Ocean.


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