A nonconventional local limit theorem

DOI10.1007/s10959-015-0625-9zbMath1360.60053arXiv1407.0143OpenAlexW1518402504MaRDI QIDQ501827

Yuri Kifer, Yeor Hafouta

Publication date: 10 January 2017

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

Full work available at URL: https://arxiv.org/abs/1407.0143

zbMATH Keywords

mixinglocal limit theoremstationary Markov chain

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Stationary stochastic processes (60G10) Discrete-time Markov processes on general state spaces (60J05)

Related Items (8)

Berry-Esseen type estimates for nonconventional sums ⋮ Nonconventional moderate deviations theorems and exponential concentration inequalities ⋮ On the local limit theorems for psi-mixing Markov chains ⋮ A local limit theorem for a number of multiple recurrences generated by some mixing processes with applications to Young towers ⋮ Classical and almost sure local limit theorems ⋮ Limit theorems for some skew products with mixing base maps ⋮ On the local limit theorems for lower psi-mixing Markov chains ⋮ A local limit theorem for linear random fields

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