Regularized kriging as a generalization of simple, universal, and bayesian kriging

作者: J. M. Matías , W. González-Manteiga

DOI: 10.1007/S00477-005-0019-0

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摘要: In this article the properties of regularized kriging (RK) are studied. RK is obtained as a result relaxing universal (UK) non-bias condition by using support vectors methodology. More specifically, we demonstrate how continuum solutions in function regularizing parameter, which includes particular and extreme cases, simple (SK) UK, an intermediate case, Bayesian (BK). Likewise, expressions for mean, variance mean squared error (MSE), also expression corresponding estimator coefficients mean. Finally, investigate relationship between vector machines. By means simulations compare MSE with those BK different association models, levels noise, differently sized coefficients. The results prove to be improvement on UK results, and, moreover, these improvements proportionally greater noise.

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