Variance Estimation and Kriging Prediction for a Class of Non-Stationary Spatial Models
Variance Estimation and Kriging Prediction for a Class of Non-Stationary Spatial Models
dc.contributor.author | Yang, Shu | |
dc.contributor.author | Zhu, Zhengyuan | |
dc.contributor.author | Zhu, Zhengyuan | |
dc.contributor.department | Statistics | |
dc.date | 2018-03-22T17:00:19.000 | |
dc.date.accessioned | 2020-07-02T06:56:43Z | |
dc.date.available | 2020-07-02T06:56:43Z | |
dc.date.copyright | Thu Jan 01 00:00:00 UTC 2015 | |
dc.date.issued | 2015-01-01 | |
dc.description.abstract | <p>This paper discusses the estimation and plug-in kriging prediction non-stationary spatial process assuming a smoothly varying variance an additive independent measurement error. A difference-based kernel estimator of the variance function and a modified likelihood estimator of the mea surement error variance are used for parameter estimation. Asymptotic properties of these estimators and the plug-in kriging predictor are established. A simula tion study is presented to test our estimation-prediction procedure. Our kriging predictor is shown to perform better than the spatial adaptive local polynomial regression estimator proposed by Fan and Gijbels (1995) when the measurement error is small.</p> | |
dc.description.comments | <p>This article is published as Shu Yang and Zhengyuan Zhu, "Variance Estimation and Kriging Prediction for a Class of Non-stationary Spatial Models," <em>Statistica Sinica </em>25(1), (2015): 135-149. DOI: <a href="http://dx.doi.org/10.5705/ss.2013.205w" target="_blank">10.5705/ss.2013.205w</a>. Posted with permission.</p> | |
dc.format.mimetype | application/pdf | |
dc.identifier | archive/lib.dr.iastate.edu/stat_las_pubs/131/ | |
dc.identifier.articleid | 1138 | |
dc.identifier.contextkey | 11819644 | |
dc.identifier.s3bucket | isulib-bepress-aws-west | |
dc.identifier.submissionpath | stat_las_pubs/131 | |
dc.identifier.uri | https://dr.lib.iastate.edu/handle/20.500.12876/90434 | |
dc.language.iso | en | |
dc.source.bitstream | archive/lib.dr.iastate.edu/stat_las_pubs/131/2015_Zhu_VarianceEstimation.pdf|||Fri Jan 14 19:44:34 UTC 2022 | |
dc.source.uri | 10.5705/ss.2013.205w | |
dc.subject.disciplines | Multivariate Analysis | |
dc.subject.disciplines | Statistics and Probability | |
dc.subject.keywords | Bandwidth selection | |
dc.subject.keywords | heteroscedasticity | |
dc.subject.keywords | K-fold cross validation | |
dc.subject.keywords | local polynomial regression | |
dc.subject.keywords | rates of convergence | |
dc.subject.keywords | variance function | |
dc.title | Variance Estimation and Kriging Prediction for a Class of Non-Stationary Spatial Models | |
dc.type | article | |
dc.type.genre | article | |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | 51db2a08-8f9d-4f97-bdbc-6790b3d5a608 | |
relation.isOrgUnitOfPublication | 264904d9-9e66-4169-8e11-034e537ddbca |
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