Central limit theorems for Walsh series with general gaps (Q1321505)
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scientific article; zbMATH DE number 558384
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Central limit theorems for Walsh series with general gaps |
scientific article; zbMATH DE number 558384 |
Statements
Central limit theorems for Walsh series with general gaps (English)
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28 April 1994
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The author proves new sufficient conditions for Walsh series with gaps to obey the central limit theorem. As corollaries, he obtains improved versions of the results proved by \textit{I. Berkes} [Analysis Math. 4, 159- 180 (1978; Zbl 0416.60025)]. He also gives sufficient conditions to ensure convergence to quasi-Gaussian distributions.
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Walsh series
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gaps
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central limit theorem
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convergence
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quasi-Gaussian distributions
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