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Central limit theorems for Walsh series with general gaps

Интегральная предел ьная теорема для рядо в Уолша с лакунами общего вид а

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Abstract

Получен критерий вып олнения центральной предельной теоремы для рядов Уолша с лакунами обще го вида. Как следствие получено улучшение результат ов БЕРКЕША [1]. В теореме 3 да ны условия для сходим ости к квази-гауссовым расп ределениям.

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Authors and Affiliations

  1. Faculty of economics, Fukushima University Fukushima, Japan, Matsukawa, 960-12, Fukushima, Japan

    K. Ôhashi

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  1. K. Ôhashi
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Ôhashi, K. Central limit theorems for Walsh series with general gaps. Analysis Mathematica 20, 11–25 (1994). https://doi.org/10.1007/BF01908915

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  • DOI: https://doi.org/10.1007/BF01908915

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