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Activity Number: 18
Type: Topic Contributed
Date/Time: Sunday, July 29, 2007 : 2:00 PM to 3:50 PM
Sponsor: IMS
Abstract - #308885
Title: Spectrum Estimation for Isotropic Intrinsically Stationary Spatial Processes
Author(s): Chunfeng Huang*+ and Tailen Hsing and Noel Cressie
Companies: The Ohio State University and The Ohio State University and The Ohio State University
Address: Department of Statistics, Columbus, OH, 43210,
Keywords: Spectrum Estimation ; Spatial Processes ; Isotropic ; Intrinsically Stationary ; Regularized inverse problem
Abstract:

In the study of isotropic intrinsically stationary spatial processes, the spectral density function is a parameter of interest. A new spectrum estimation is formulated in terms of solving a regularized inverse problem. The regularized inverse problem is solved in a reproducing kernel Hilbert space as a constrained optimization problem. This methodology is applied to a spatial dataset of temperature changes over Americas.

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Revised September, 2007