A mean central limit theorem for weakly multiplicative systems and its application to lacunary trigonometric series-Reference-Cited by-同舟云学术

A mean central limit theorem for weakly multiplicative systems and its application to lacunary trigonometric series

Published:1991-06 Issue:2 Volume:89 Page:159-179
ISSN:0178-8051
Container-title:Probability Theory and Related Fields
language:en
Short-container-title:Probab. Th. Rel. Fields

Author:

Fukuyama Katusi

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis

Link

https://link.springer.com/content/pdf/10.1007/BF01366904.pdf

Reference21 articles.

1. Alexits, G.: Sur lá sommabilité des series orthogonales. Acta Math. Acad. Sci. Hung.4, 181–188 (1953)

2. Alexits, G.: Convergence problems of orthogonal series. Budapest: Académiai Kiadó, 1961

3. Berkes, I.: On Strassen's version of the log log law for multiplicative systems. Stud. Sci. Math. Hung.8, 425–431 (1973)

4. Fukyuama, K.: Some limit theorems of almost periodic function systems under the relative measure. J. Math. Kyoto Univ.28, 557–577 (1988)

5. Fukuyama, K.: Functional central limit theorem and Strassen's law of the iterated logarithms for weakly multiplicative systems. J. Math. Kyoto Univ.30, 625–635 (1990)

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