Lp-consistency of multivariate density estimates
β Scribed by Ibrahim A. Ahmad
- Book ID
- 105590401
- Publisher
- Springer Japan
- Year
- 1982
- Tongue
- English
- Weight
- 442 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0020-3157
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π SIMILAR VOLUMES
We consider the estimation of the multivariate probability density function f(x 1 ; : : : ; x d ) of X 1 ; : : : ; X d of a stationary associated random process {X i } β i=-β . Uniform strong rates of convergence over compact sets in R d are established for the estimates of f and all its partial der
Multivariate kernel density estimators are known to systematically deviate from the true value near critical points of the density surface. To overcome this difficulty a method based on Rao Blackwell's theorem is proposed. Local corrections of kernel density estimators are achieved by conditioning t