Turning a coin over instead of tossing it

DOI10.1007/s10959-016-0725-1zbMath1430.60025arXiv1606.03281OpenAlexW2963746208WikidataQ59479798 ScholiaQ59479798MaRDI QIDQ1661594

Stanislav Volkov, János Engländer

Publication date: 16 August 2018

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.03281

zbMATH Keywords

central limit theoremlaws of large numberscoin tossing

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

Related Items (9)

Interacting particle systems and Jacobi style identities ⋮ Stick-breaking processes, clumping, and Markov chain occupation laws ⋮ Noise sensitivity and exceptional times of transience for a simple symmetric random walk in one dimension ⋮ Variations of the elephant random walk ⋮ Fluctuations of the empirical measure of freezing Markov chains ⋮ The coin-turning walk and its scaling limit ⋮ Limit theorems and ergodicity for general bootstrap random walks ⋮ Impatient random walk ⋮ Conservative random walk

Cites Work

• Laws of large numbers for the annealing algorithm
• A martingale proof of Dobrushin's theorem for non-homogeneous Markov chains
• On the Markov chain central limit theorem
• Strong laws of large numbers for weakly correlated random variables
• Central limit theorem for triangular arrays of non-homogeneous Markov chains
• Occupation laws for some time-nonhomogeneous Markov chains
• Probability
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