A general Hsu-Robbins-Erdős type estimate of tail probabilities of sums of independent identically distributed random variables

DOI10.1023/A:1025992211128zbMath1027.60022arXivmath/9810163OpenAlexW1747550988MaRDI QIDQ1416164

Alexander R. Pruss

Publication date: 14 December 2003

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

Full work available at URL: https://arxiv.org/abs/math/9810163

zbMATH Keywords

complete convergencetail probabilitiessums of independent random variablesweak mean dominationrates of convergence in the law of large numbersHsu-Robbins-Erdős law of large numbers

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Large deviations (60F10)

Related Items (3)

Strong convergence for weighted sums of negatively associated arrays ⋮ Strong limit theorems for weighted sums of negatively associated random variables ⋮ Generalized Law of the Iterated Logarithm and Its Convergence Rate

Cites Work

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