A note on kernel density estimators with optimal bandwidths
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866911596593283072 |
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| author | Hjort, Nils Lid Walker, Stephen G. |
| author_facet | Hjort, Nils Lid Walker, Stephen G. |
| contents | We show that the cumulative distribution function corresponding to a kernel density estimator with optimal bandwidth lies outside any confidence interval, around the empirical distribution function, with probability tending to 1 as the sample size increases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_14181 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A note on kernel density estimators with optimal bandwidths Hjort, Nils Lid Walker, Stephen G. Statistics Theory We show that the cumulative distribution function corresponding to a kernel density estimator with optimal bandwidth lies outside any confidence interval, around the empirical distribution function, with probability tending to 1 as the sample size increases. |
| title | A note on kernel density estimators with optimal bandwidths |
| topic | Statistics Theory |
| url | https://arxiv.org/abs/2604.14181 |