A comparison of sampling grids, cut-off distance and type of residuals in parametric variogram estimation

In spatial statistics, the correct identification of a variogram model when fitted to an empirical variogram depends on many factors. Here, simulation experiments show fitting based on the variogram cloud is preferable to that based on Matheron's and Cressie-Hawkins empirical variogram estimato...

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Bibliographic Details
Published in:Communications in statistics. Simulation and computation 2017-03, Vol.46 (3), p.1781-1795
Main Authors: Jin, Renhao, Kelly, Gabrielle E.
Format: Article
Language:English
Subjects:
Computer simulation
Cut-off
Estimators
Fittings
Matérn
Practical range
Samples
Sampling
Specifications
Statistics
Studentized residuals
Variogram cloud
Variogram model fitting
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Summary:In spatial statistics, the correct identification of a variogram model when fitted to an empirical variogram depends on many factors. Here, simulation experiments show fitting based on the variogram cloud is preferable to that based on Matheron's and Cressie-Hawkins empirical variogram estimators. For correct model specification, a number of models should be fitted to the empirical variogram using a grid of cut-off values, and recommendations are given for best choice. A design where roughly half the maximum distance between points equals the practical range works well for correct variogram identification of any model, with varying nugget sizes and sample sizes.
ISSN:0361-0918
1532-4141
DOI:10.1080/03610918.2015.1011785