Nonparametric bias-corrected variogram estimation under non-constant trend |
| |
| Authors: | Rubén Fernández-Casal Mario Francisco-Fernández |
| |
| Institution: | 1. Departamento de Matemáticas, Facultad de Informática, Universidad de A Coru?a, Campus de Elvi?a s/n, 15071, A Coru?a, Spain
|
| |
| Abstract: | In geostatistics, the approximation of the spatial dependence structure of a process, through the estimation of the variogram or the covariogram of the variable under consideration, is an important issue. In this work, under a general spatial model, including a mean or trend function, and without assuming any parametric model for this function and for the dependence structure of the process, a general nonparametric estimator of the variogram is proposed. The new approach consists in applying an iterative algorithm, using the residuals obtained from a nonparametric local linear estimation of the trend function, jointly with a correction of the bias due to the use of these residuals. A simulation study checks the validity of the presented approaches in practice. The broad applicability of the procedures is demonstrated on a real data set. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
