| Автор | Ludeña, Carenne |
| Дата выпуска | 1999 |
| dc.description | Minimax bounds for the risk function of estimators of functionals of the spectral density of Gaussian fields are obtained. This result is a generalization of a previous result of Khas'minskii and Ibragimov on Gaussian processes. Efficient estimators are then constructed for these functionals. In the case of linear functionals these estimators are given for all dimensions. For non-linear integral functionals, these estimators are constructed for the two and three dimensional problems. |
| Формат | application.pdf |
| Издатель | EDP Sciences |
| Копирайт | © EDP Sciences, SMAI, 1999 |
| Тема | Efficient estimation |
| Тема | Gaussian fields |
| Тема | periodogram |
| Тема | tapered periodogram |
| Тема | spectral density |
| Тема | Toeplitz matrices. |
| Название | Efficient estimation of functionals of the spectral density of stationary Gaussian fields |
| Тип | research-article |
| DOI | 10.1051/ps:1999101 |
| Electronic ISSN | 1262-3318 |
| Print ISSN | 1292-8100 |
| Журнал | ESAIM: Probability and Statistics |
| Том | 3 |
| Первая страница | 23 |
| Последняя страница | 47 |
| Аффилиация | Ludeña Carenne; Departamento de Matemáticas, IVIC, Caracas, Venezuela; cludena@ivic.ivic.ve. |
