Sufficient and necessary conditions for limit laws on lag sums of I. I. D. R. V. S

DOI10.1007/BF02563891zbMath0907.60030OpenAlexW377934762MaRDI QIDQ4391502

Zhang, Lixin

Publication date: 2 March 1999

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

Full work available at URL: https://doi.org/10.1007/bf02563891

zbMATH Keywords

Wiener processstrong approximationChernoff function

Mathematics Subject Classification ID

Gaussian processes (60G15) Strong limit theorems (60F15) Sample path properties (60G17)

Cites Work

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• Some results on increments of the Wiener process with applications to lag sums of i.i.d. random variables
• Exact convergence rate in the limit theorems of Erdős-Rényi and Shepp
• Limit laws of Erdős-Rényi-Shepp type
• Strong limit theorems
• Answers to some questions about increments of a Wiener process
• The best rates in strong invariance principle
• On a new law of large numbers
• Some limit results for lag sums of independent, non-i.i.d., random variables
• On a Conjecture of Revesz

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