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everywhere central limit theorem, Math. Proc. Cambridge Philos. Soc. 104 (1988), 561-574. MR 89i :60045 An almost everywhere central limit theorem Math. Proc. Cambridge Philos. Soc

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134 Bercu, B. , On the convergence of moments in the almost sure central limit theorem for martingales with statistical applications, Stochastic Process. Appl. 111 (2004

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] B rosamler , G. A. , An almost everywhere central limit theorem , Math. Proc. Camb. Phil. Soc. , 104 ( 1988 ), 561 – 574 . [4] G onchigdanzan , K

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Abstract  

This note concerns the asymptotic behavior of a Markov process obtained from normalized products of independent and identically distributed random matrices. The weak convergence of this process is proved, as well as the law of large numbers and the central limit theorem.

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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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