Asymptotics for dependent Bernoulli random variables

DOI10.1016/j.spl.2011.12.002zbMath1241.60015OpenAlexW2154035113MaRDI QIDQ419150

Yongcheng Qi, Lan Wu, Jing-Ping Yang

Publication date: 18 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.spl.2011.12.002

zbMATH Keywords

strong law of large numberslaw of the iterated logarithmcentral limit theoremdependent Bernoulli random variables

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15)

Related Items (14)

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 ⋮ Multidimensional walks with random tendency ⋮ Asymptotics for a class of dependent random variables ⋮ On the almost sure invariance principle for dependent Bernoulli random variables ⋮ Laws of large numbers for q-dependent random variables and nonextensive statistical mechanics ⋮ How linear reinforcement affects Donsker's theorem for empirical processes ⋮ Limit theorems for dependent Bernoulli variables with statistical inference ⋮ Central limit theorem and related results for the elephant random walk ⋮ 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

• Limit theorems for correlated Bernoulli random variables
• A generalized binomial distribution
• Asymptotics and Criticality for a Correlated Bernoulli Process
• Martingale Central Limit Theorems
• Unnamed Item

This page was built for publication: Asymptotics for dependent Bernoulli random variables