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Covariance Tapering for Interpolation of Large Spatial Datasets
| Content Provider | Scilit |
|---|---|
| Author | Furrer, Reinhard Genton, Marc G. Nychka, Douglas |
| Copyright Year | 2006 |
| Description | Journal: Journal of Computational and Graphical Statistics Interpolation of a spatially correlated random process is used in many scientific areas. The best unbiased linear predictor, often called a kriging predictor in geostatistical science, requires the solution of a (possibly large) linear system based on the covariance matrix of the observations. In this article, we show that tapering the correct covariance matrix with an appropriate compactly supported positive definite function reduces the computational burden significantly and still leads to an asymptotically optimal mean squared error. The eect of tapering is to create a sparse approximate linear system that can then be solved using sparse matrix algorithms. Monte Carlo simulations support the theoretical results. An application to a large climatological precipitation dataset is presented as a concrete and practical illustration. |
| Related Links | https://www.zora.uzh.ch/id/eprint/21612/2/ZORA-21612V.pdf http://www.zora.uzh.ch/id/eprint/21612/2/ZORA-21612V.pdf |
| Ending Page | 523 |
| Page Count | 22 |
| Starting Page | 502 |
| ISSN | 10618600 |
| e-ISSN | 15372715 |
| DOI | 10.1198/106186006x132178 |
| Journal | Journal of Computational and Graphical Statistics |
| Issue Number | 3 |
| Volume Number | 15 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2006-09-01 |
| Access Restriction | Open |
| Subject Keyword | Journal: Journal of Computational and Graphical Statistics Statistics and Probability Sparse Matrix Large Linear Systems Compactly Supported Covariance. Asymptotic Optimality Linear System Random Process Sparse Approximation Mean Square Error Monte Carlo Simulation Positive Definite Function Covariance Matrix Spatial Correlation |
| Content Type | Text |
| Resource Type | Article |
| Subject | Statistics and Probability Discrete Mathematics and Combinatorics Statistics, Probability and Uncertainty |