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Activity Number:
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105
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Type:
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Contributed
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Date/Time:
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Monday, August 4, 2008 : 8:30 AM to 10:20 AM
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Sponsor:
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IMS
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| Abstract - #301600 |
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Title:
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Nonparametric Covariogram Estimation Based on Irregularly Spaced Spatial Data
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Author(s):
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Soutir Bandyopadhyay*+ and Soumendra N. Lahiri
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Companies:
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Texas A&M University and Texas A&M University
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Address:
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3143 TAMU, COLLEGE STATION, TX, 77843-3143,
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Keywords:
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spectral density ; covariogram ; spatial process ; stochastic design
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Abstract:
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We propose a nonparametric estimator for the covariogram function based on irregularly spaced spatial data generated by a stochastic design. Unlike earlier works on the problem, the proposed estimator of the covariogram does not involve any smoothing. As a result, the proposed method avoids the vexing problem of finite sample choice of the smoothing parameter for practical applications. We investigate theoretical properties of the covariogram estimator under pure- and mixed-increasing domain spatial asymptotics. We will also present results from a moderately large simulation study.
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