On series of \(H\)-equivalent tuples in Markov chains

DOI10.1134/S0081543822010187OpenAlexW4225120984MaRDI QIDQ2135138

A. M. Shoitov, Artem V. Volgin, Vladimir G. Mikhailov

Publication date: 4 May 2022

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543822010187

zbMATH Keywords

Markov chainPoisson limit theorem\(H\)-equivalent tuples

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Combinatorial probability (60C05)

Related Items (2)

Method of moments and sums of random indicators ⋮ On the reduction property of the number of \(H\)-equivalent tuples of states in a discrete Markov chain

Cites Work

• Unnamed Item
• Unnamed Item
• Estimates of accuracy of the Poisson approximation for the distribution of number of runs of long string repetitions in a Markov chain
• Some monotonicity properties of Schur powers of matrices and related inequalities
• Inequalities for the distribution of a sum of functions of independent random variables
• On the reduction property of the number of \(H\)-equivalent tuples of states in a discrete Markov chain
• Repetitions of s-Tuples in a Sequence of Independent Trials
• Limit Distributions of the Number of Non-Occurring s-Tuples in a Multinomial Scheme
• Limit Distributions of Random Variables Associated with Long Duplications in a Sequence of Independent Trials
• Limit Distribution of Random Variables Associated with Multiple Long Duplications in a Sequence of Independent Trials
• Matchings up to permutations in sequences of independent trials
• Matchings up to the permutations which form a Latin rectangle
• Structural equivalence of s-tuples in random discrete sequences
• Многократные повторения длинных цепочек в конечной цепи Маркова

This page was built for publication: On series of \(H\)-equivalent tuples in Markov chains