On the almost sure invariance principle for dependent Bernoulli random variables

DOI10.1016/j.spl.2015.09.008zbMath1329.60081OpenAlexW1678453385MaRDI QIDQ900961

Yang Zhang, Zhang, Lixin

Publication date: 23 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.spl.2015.09.008

zbMATH Keywords

martingalescentral limit theoremdependent Bernoulli random variablesalmost sure invariance principle

Mathematics Subject Classification ID

Gaussian processes (60G15) Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Functional limit theorems; invariance principles (60F17)

Related Items (8)

Limiting behaviors of generalized elephant random walks ⋮ ASYMPTOTIC BEHAVIORS FOR CORRELATED BERNOULLI MODEL ⋮ Non-Markovian random walks with memory lapses ⋮ Some limit theorems for dependent Bernoulli random variables ⋮ How linear reinforcement affects Donsker's theorem for empirical processes ⋮ Gaussian fluctuation for superdiffusive elephant random walks ⋮ Limit behaviors for dependent Bernoulli variables ⋮ Correction to: ``How linear reinforcement affects Donsker's theorem for empirical processes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotics for dependent Bernoulli random variables
• Limit theorems for correlated Bernoulli random variables
• Strong invariance principles for dependent random variables
• A generalized binomial distribution
• Asymptotics and Criticality for a Correlated Bernoulli Process

This page was built for publication: On the almost sure invariance principle for dependent Bernoulli random variables