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Activity Number:
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235
- Spatio-Temporal Theory and Methods
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Type:
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Contributed
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Date/Time:
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Monday, July 31, 2017 : 2:00 PM to 3:50 PM
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Sponsor:
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Section on Statistics and the Environment
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Abstract #324882
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Title:
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Consistency of Classical Variogram Estimators on the Sphere
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Author(s):
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Haimeng Zhang* and Chunfeng Huang and Wenshuang Wang and Chris Vanlangenberg
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Companies:
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University of North Carolina at Greensboro and Indiana University - Bloomington and Mississippi State University and APEX Analytix
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Keywords:
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Axial symmetry ;
Consistency ;
Variogram ;
Stationarity
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Abstract:
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Covariance and variogram functions and estimators have been extensively studied in spatial processes under Euclidean spaces. In this talk, I will discuss some preliminary results on the asymptotic properties for covariance and variogram estimators on the circle. In particular, we will show that although the classical variogram estimator on the circle is unbiased, it is not consistent under Gaussianity. We will extend the results for the axially symmetric processes on the sphere.
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Authors who are presenting talks have a * after their name.
