Some limit theorems for dependent Bernoulli random variables

DOI10.1016/j.spl.2020.109010zbMath1457.60043OpenAlexW3110105516MaRDI QIDQ2657987

Renato J. Gava, Bruna L. F. Rezende

Publication date: 18 March 2021

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2020.109010

zbMATH Keywords

central limit theoremlaw of iterated logarithmGaussian fluctuationdependent Bernoulli random variablesalmost sure invariance principle

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Cites Work

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• Asymptotics for dependent Bernoulli random variables
• On the almost sure invariance principle for dependent Bernoulli random variables
• Limit theorems for correlated Bernoulli random variables
• Weak and \(L^p\)-invariance principles for sums of \(B\)-valued random variables
• A weak invariance principle with applications to domains of attraction
• On central limit and iterated logarithm supplements to the martingale convergence theorem
• A generalized binomial distribution
• Asymptotics and Criticality for a Correlated Bernoulli Process
• Limit theorems for a minimal random walk model

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