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On visual distances in density estimation: the Hausdorff choice

✍ Scribed by Antonio Cuevas; Ricardo Fraiman


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
498 KB
Volume
40
Category
Article
ISSN
0167-7152

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Convergence in the Hausdorff metric of e
✍ Arnoud C.M. van Rooij; Frits H. Ruymgaart πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 273 KB

The problem of estimating a density which is allowed to have discontinuities of the first kind is considered. The usual Fourier-type estimator is based on the Dirichlet or sinc kernel and is not suitable to eliminate the Gibbs phenomenon. Fourier4Ses~ro approximation yields the Fejrr kernel which is