Multivariate k-nearest neighbor density estimates
β Scribed by Y.P Mack; M Rosenblatt
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 583 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0047-259X
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π SIMILAR VOLUMES
We consider estimation of a multivariate probability density function \(f(x)\) by kernel type nearest neighbor ( \(\mathrm{nn})\) estimators \(g_{n}(x)\). The development of \(\mathrm{nn}\) density estimation theory has had a rich history since Loftsgaarden and Quesenberry proposed the idea in 1965
This paper deals with nonparametric regression estimation under arbitrary sampling with an unknown distribution. The effect of the distribution of the design, which is a nuisance parameter, can be eliminated by conditioning. An upper bound for the conditional mean squared error of k&NN estimates lea