Discriminant analysis of Gaussian spatial data with exponential covariance structure
This paper considers the discrimination of the observation of the stationary Gaussian random field belonging to one of two populations with different means and covariance functions. Assumming that covariance functions has exponential structure, the unknown means and covariance parameters are estima...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2005-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
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| Online Access: | https://www.journals.vu.lt/LMR/article/view/26677 |
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| _version_ | 1832593175952228352 |
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| author | Kęstutis Dučinskas |
| author_facet | Kęstutis Dučinskas |
| author_sort | Kęstutis Dučinskas |
| collection | DOAJ |
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This paper considers the discrimination of the observation of the stationary Gaussian random field belonging to one of two populations with different means and covariance functions. Assumming that covariance functions has exponential structure, the unknown means and covariance parameters are estimated by ML method. Approximation of the expected error rate associated with Bayes plug-in discriminant function is derived.
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| format | Article |
| id | doaj-art-26e0e238a6ed4795bd3830180f7fad39 |
| institution | Kabale University |
| issn | 0132-2818 2335-898X |
| language | English |
| publishDate | 2005-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj-art-26e0e238a6ed4795bd3830180f7fad392025-01-20T18:15:50ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2005-12-0145spec.10.15388/LMR.2005.26677Discriminant analysis of Gaussian spatial data with exponential covariance structureKęstutis Dučinskas0Klaipeda University This paper considers the discrimination of the observation of the stationary Gaussian random field belonging to one of two populations with different means and covariance functions. Assumming that covariance functions has exponential structure, the unknown means and covariance parameters are estimated by ML method. Approximation of the expected error rate associated with Bayes plug-in discriminant function is derived. https://www.journals.vu.lt/LMR/article/view/26677spatial correlation functionexponential structureactual error rateexpected error rate |
| spellingShingle | Kęstutis Dučinskas Discriminant analysis of Gaussian spatial data with exponential covariance structure Lietuvos Matematikos Rinkinys spatial correlation function exponential structure actual error rate expected error rate |
| title | Discriminant analysis of Gaussian spatial data with exponential covariance structure |
| title_full | Discriminant analysis of Gaussian spatial data with exponential covariance structure |
| title_fullStr | Discriminant analysis of Gaussian spatial data with exponential covariance structure |
| title_full_unstemmed | Discriminant analysis of Gaussian spatial data with exponential covariance structure |
| title_short | Discriminant analysis of Gaussian spatial data with exponential covariance structure |
| title_sort | discriminant analysis of gaussian spatial data with exponential covariance structure |
| topic | spatial correlation function exponential structure actual error rate expected error rate |
| url | https://www.journals.vu.lt/LMR/article/view/26677 |
| work_keys_str_mv | AT kestutisducinskas discriminantanalysisofgaussianspatialdatawithexponentialcovariancestructure |