An almost sure central limit theorem for independent random variables (Q1316639)
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scientific article; zbMATH DE number 522697
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An almost sure central limit theorem for independent random variables |
scientific article; zbMATH DE number 522697 |
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An almost sure central limit theorem for independent random variables (English)
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11 August 1994
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Using the Skorokhod representation theorem the authors prove an almost sure central limit theorem for independent nonidentically distributed r.v.s. This extends results of \textit{G. A. Brosamler} [Math. Proc. Camb. Philos. Soc. 104, No. 3, 561-574 (1988; Zbl 0668.60029)] and \textit{M. T. Lacey} and \textit{W. Philipp} [Stat. Probab. Lett. 9, No. 3, 201-205 (1990; Zbl 0691.60016)].
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Wiener measure
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almost sure convergence
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Skorokhod representation theorem
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