A strengthened central limit theorem for smooth densities (Q1891821)
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scientific article; zbMATH DE number 764022
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A strengthened central limit theorem for smooth densities |
scientific article; zbMATH DE number 764022 |
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A strengthened central limit theorem for smooth densities (English)
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5 October 1995
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The paper presents various local limit theorems for i.i.d. random variables with zero mean and positive (but finite) variance. The authors employ two different setups. One is based on a generalization of Fisher's information and the other uses Fourier transformation. The results give convergence in various norms depending on the properties of the theoretical density.
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local limit theorem
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Fisher's information
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Fourier transformation
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Sobolev spaces
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