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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.12741 |
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| _version_ | 1866911999961595904 |
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| author | Mintogo, Luran Bengono Nkou, Emmanuel de Dieu Nkiet, Guy Martial |
| author_facet | Mintogo, Luran Bengono Nkou, Emmanuel de Dieu Nkiet, Guy Martial |
| contents | We adress the problem of consistency of the $k$-nearest neighbors kernel estimators of the density and the regression function in the multivariate case. We get the rates of strong uniform consistency on the whole space $\mathbb{R}^p$ for these estimators under specified assumptions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_12741 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rates of strong uniform consistency for the $k$-nearest neighbors kernel estimators of density and regression function Mintogo, Luran Bengono Nkou, Emmanuel de Dieu Nkiet, Guy Martial Statistics Theory We adress the problem of consistency of the $k$-nearest neighbors kernel estimators of the density and the regression function in the multivariate case. We get the rates of strong uniform consistency on the whole space $\mathbb{R}^p$ for these estimators under specified assumptions. |
| title | Rates of strong uniform consistency for the $k$-nearest neighbors kernel estimators of density and regression function |
| topic | Statistics Theory |
| url | https://arxiv.org/abs/2408.12741 |