Necessary and sufficient conditions of almost sure convergence of kernel estimates of probability density and its derivatives (Q1095529)
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scientific article; zbMATH DE number 4028630
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Necessary and sufficient conditions of almost sure convergence of kernel estimates of probability density and its derivatives |
scientific article; zbMATH DE number 4028630 |
Statements
Necessary and sufficient conditions of almost sure convergence of kernel estimates of probability density and its derivatives (English)
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1986
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Necessary and sufficient conditions of almost sure convergence are obtained for kernel estimates of the probability density. An iterated logarithm law is obtained for a special class of estimates that yields an exact characterization of the asymptotic rate of convergence almost surely. The obtained results are extended to estimates of the derivatives of the probability density.
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density estimation
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estimation of derivatives
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Necessary and sufficient conditions of almost sure convergence
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kernel estimates
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iterated logarithm law
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asymptotic rate of convergence
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