Generalized one-sided laws of the iterated logarithm for random variables barely with or without finite mean
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Publication:749014
DOI10.1007/BF01046098zbMath0712.60029OpenAlexW2006946674MaRDI QIDQ749014
Publication date: 1990
Published in: Journal of Theoretical Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01046098
Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)
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A maxtrimmed St. Petersburg game ⋮ Randomized Generalized Laws of the Iterated Logarithm ⋮ Winning ``Big in the St. Petersburg game ⋮ A strong law of large numbers for trimmed sums, with applications to generalized St. Petersburg games ⋮ Tail probabilities of St. Petersburg sums, trimmed sums, and their limit ⋮ Weak laws of large numbers for weighted independent random variables with infinite mean ⋮ On the rate of convergence of the St. Petersburg game ⋮ Large gains in the St. Petersburg game ⋮ A weak law for normed weighted sums of random elements in Rademacher type \(p\) Banach spaces ⋮ Some remarks on the generalized St. Petersburg games and formal Laurent series expansions ⋮ One-sided limit theorems for sums of multidimensional indexed random variables ⋮ Limit Theorems for a Generalized Feller Game ⋮ Limit Theorems for a Generalized ST Petersburg Game ⋮ An asymmetric St. Petersburg game with trimming ⋮ Laws of large numbers with infinite mean ⋮ Extreme-trimmed St. Petersburg games ⋮ Limit theorems for nonnegative independent random variables with truncation ⋮ The laws of large numbers for Pareto-type random variables with infinite means
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