On the rate of convergence of \(L_p\) norms in the central limit theorem for independent random variables (Q1873260)
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scientific article; zbMATH DE number 1912623
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the rate of convergence of \(L_p\) norms in the central limit theorem for independent random variables |
scientific article; zbMATH DE number 1912623 |
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On the rate of convergence of \(L_p\) norms in the central limit theorem for independent random variables (English)
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19 May 2003
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The paper considers the \(L_p\)-distance, \(1\leq p\leq +\infty \), between the distribution function of a centered sum of i.i.d. r.v. and the distribution function of the standard normal r.v. The author contributes with a lower and an upper bound for this \(L_p\)-distance.
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upper bound
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lower bound
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central limit theorem
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independent random variables
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\(L_p\)-norm
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Cramér condition
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