Approximation for counts of 2-runs in a two state Markov chain

DOI10.1007/s10114-013-1709-zzbMath1274.60061OpenAlexW2052308420MaRDI QIDQ381060

Hui Chen, Mei Zhang

Publication date: 15 November 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-013-1709-z

zbMATH Keywords

Stein's methodnegative binomial distributioncouplingtotal variation distancehead run

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

Cites Work

• Approximation for counts of head runs
• On approximation of Markov binomial distributions
• Explicit distributional results in pattern formation
• Stein's method and birth-death processes
• Compound Poisson approximation of word counts in DNA sequences
• On Negative Binomial Approximation to k-Runs

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