On repetitions of long tuples in a Markov chain-Reference-Cited by-同舟云学术

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On repetitions of long tuples in a Markov chain

Published:2015-01-01 Issue:5 Volume:25 Page:
ISSN:1569-3929
Container-title:Discrete Mathematics and Applications
language:
Short-container-title:

Author:

Mikhaylov Vladimir G.,Shoytov Aleksandr M.

Abstract

AbstractLet X{Xwhen s, n → ∞. Limit theorems for distributions of some random variables connected with ξ̄(s, n) are derived as corollaries.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Link

https://www.degruyter.com/document/doi/10.1515/dma-2015-0028/pdf

Cited by 10 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. About the rate of normal approximation for the distribution of the number of repetitions in a stationary discrete random sequence;Prikladnaya Diskretnaya Matematika;2023

2. On the asymptotic normality conditions for the number of repetitions in a stationary random sequence;Discrete Mathematics and Applications;2022-12-01

3. On Series of $$H$$-Equivalent Tuples in Markov Chains;Proceedings of the Steklov Institute of Mathematics;2022-03

4. Semibinomial conditionally nonlinear autoregressive models of discrete random sequences: probabilistic properties and statistical parameter estimation;Discrete Mathematics and Applications;2020-12-16

5. Normal approximation for $U$- and $V$-statistics of a stationary absolutely regular sequence;Sibirskie Elektronnye Matematicheskie Izvestiya;2020-05-08

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