On one-sided boundedness of normed partial sums

DOI10.1017/S0004972700006237zbMath0416.60035MaRDI QIDQ3206039

Ross A. Maller

Publication date: 1980

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

domains of partial attractiongeneralised law of the iterated logarithmone-sided boundedness of normed partial sums

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Stationary stochastic processes (60G10) Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

Related Items (3)

A functional law of the iterated logarithm for distributions in the domain of partial attraction of the normal distribution ⋮ Some effects of trimming on the law of the iterated logarithm ⋮ On the limit behaviour of weighted sums of random variables

Cites Work

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• Iterated logarithm laws for asymmetric random variables barely with or without finite mean
• ON SUMS OF INDEPENDENT RANDOM VARIABLES WITH INFINITE MOMENTS AND „FAIR” GAMES
• Toward a universal law of the iterated logarithm
• A Generalization of an Inequality of Lévy
• Relative stability and the strong law of large numbers
• On the duality between the behaviour of sums of independent random variables and the sums of their squares
• Relatively Stable Walks
• Toward a universal law of the iterated logarithm, Part II
• A Note on Sums of Independent Random Variables with Infinite First Moment
• A Note Concerning Behaviour of Iterated Logarithm Type
• The 1971 Rietz Lecture Sums of Independent Random Variables--Without Moment Conditions
• The Distribution of the First Ladder Moment and Height and Fluctuation of a Random Walk

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