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

DOI10.1007/BF01366904zbMath0722.60029MaRDI QIDQ756249

Katusi Fukuyama

Publication date: 1991

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

rate of convergencemean central limit theoremweakly multiplicative systems

Mathematics Subject Classification ID

Strong limit theorems (60F15) (L^p)-limit theorems (60F25)

Related Items (1)

Probability inequalities for multiplicative sequences of random variables

Cites Work

• Functional central limit theorem and Strassen's law of the iterated logarithms for weakly multiplicative systems
• Some limit theorems of almost periodic function systems under the relative measure
• On the law of the iterated logarithm for lacunary trigonometric series. II
• The law of the iterated logarithm and related results for weakly multiplicative systems
• Lacunary trigonometric sum and probability
• A Mean Central Limit Theorem for Multiplicative Systems
• Zum Gültigkeitsbereich des zentralen Grenzwertsatzes und des Gesetzes der großen Zahlen
• On Asymptotically Best Constants in Refinements of Mean Limit Theorems
• A Central Limit Theorem for a Class of Dependent Random Variables
• Sur la sommabilité des séries orthogonales
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