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On the central limit theorem for some weakly dependent sequences

V. F. Gaposhkin

Moscow

Abstract: The central limit theorem for series with respect to the systems $\{\varphi(n_kx)\}$ with Hadamard's gaps is studied. Necessary and sufficient conditions are obtained (see theorem 1).

Received: 03.04.1969

 English version: Theory of Probability and its Applications, 1970, 15:4, 649–666

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