BLP approach for the estimation of variogram parameters |
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| Authors: | Bing Huang Tiesong Hu |
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| Institution: | (1) State Key Lab of Water Resources and Hydropower Engineering Science, School of Water Resource and Hydropower of Wuhan University, WuHan, China |
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| Abstract: | Variograms of hydrologic characteristics are usually obtained by estimating the experimental variogram for distinct lag classes
by commonly used estimators and fitting a suitable function to these estimates. However, these estimators may fail the conditionally
positive-definite property and the better results for the statistics of cross-validation, which are two essential conditions
for choosing a valid variogram model. To satisfy these two conditions, a multi-objective bilevel programming estimator (MOBLP)
which is based on the process of cross-validation has been developed for better estimate of variogram parameters. This model
is illustrated with some rainfall data from Luan River Basin in China. The case study demonstrated that MOBLP is an effective
way to achieve a valid variogram model. |
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