JSM 2011 Online Program

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Abstract Details

Activity Number: 523
Type: Contributed
Date/Time: Wednesday, August 3, 2011 : 10:30 AM to 12:20 PM
Sponsor: Section on Statistics and the Environment
Abstract - #300902
Title: Comparing Methods of Likelihood-Based Approximate Estimation for High-Dimensional Spatio-Temporal Covariances
Author(s): Yun Bai*+ and Peter Song
Companies: University of Michigan and University of Michigan
Address: Department of Biostatistics, , MI, 48109,
Keywords: high-dimensional ; approximate likelihood ; spatio-temporal ; covariance tapring ; composite likelihood
Abstract:

In the recent literature, a number of approximate estimation methods have been proposed to achieve computational feasibility when dealing with high-dimensional covariance matrices for massive spatial and/or spatio-temporal processes. Some popular approaches include covariance tapering, conditional and marginal composite likelihood approaches, and spectral approximations, among others. To date, each of these methods has been only studied in detail in their respective papers, and it remains unknown regarding relative performances of these methods. It is natural to address the understanding of pros and cons of these methods by thorough comparisons. In this paper, based on a comprehensive simulation-based comparison, we report merits and limits of these methods under different settings of spatial and temporal dependence structures.


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