@article{(Open Science Index):https://publications.waset.org/pdf/10004024, title = {Robust Variogram Fitting Using Non-Linear Rank-Based Estimators}, author = {Hazem M. Al-Mofleh and John E. Daniels and Joseph W. McKean}, country = {}, institution = {}, abstract = {In this paper numerous robust fitting procedures are considered in estimating spatial variograms. In spatial statistics, the conventional variogram fitting procedure (non-linear weighted least squares) suffers from the same outlier problem that has plagued this method from its inception. Even a 3-parameter model, like the variogram, can be adversely affected by a single outlier. This paper uses the Hogg-Type adaptive procedures to select an optimal score function for a rank-based estimator for these non-linear models. Numeric examples and simulation studies will demonstrate the robustness, utility, efficiency, and validity of these estimates. }, journal = {International Journal of Mathematical and Computational Sciences}, volume = {10}, number = {2}, year = {2016}, pages = {73 - 82}, ee = {https://publications.waset.org/pdf/10004024}, url = {https://publications.waset.org/vol/110}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 110, 2016}, }