Limit theorems for nonnegative independent random variables with truncation

DOI10.1007/s10474-014-0474-5zbMath1349.60074OpenAlexW1977174121MaRDI QIDQ2341928

Toshio Nakata

Publication date: 7 May 2015

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-014-0474-5

zbMATH Keywords

truncationstrong law of large numberscentral limit theoremSt. Petersburg gamedominatedly varying

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

Related Items (10)

Some limit theorems for weighted negative quadrant dependent random variables with infinite mean ⋮ Unnamed Item ⋮ Limit theorems for dependent random variables with infinite means ⋮ Weak laws of large numbers for weighted independent random variables with infinite mean ⋮ Intermediately trimmed strong laws for Birkhoff sums on subshifts of finite type ⋮ Unnamed Item ⋮ Strong laws of large numbers for intermediately trimmed Birkhoff sums of observables with infinite mean ⋮ Laws of large numbers with infinite mean ⋮ Limit distributions of generalized St. Petersburg games ⋮ The laws of large numbers for Pareto-type random variables with infinite means

Cites Work

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• On the rate of convergence of the St. Petersburg game
• Generalized one-sided laws of the iterated logarithm for random variables barely with or without finite mean
• A strong law of large numbers for trimmed sums, with applications to generalized St. Petersburg games
• Probability: A Graduate Course
• Limit Theorems for a Generalized Feller Game
• Limit Theorems for a Generalized ST Petersburg Game

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