On approximation of Markov binomial distributions

DOI10.3150/09-BEJ194zbMath1203.60019arXiv1001.2144OpenAlexW3104258954MaRDI QIDQ605899

Mei Zhang, Aihua Xia

Publication date: 15 November 2010

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.2144

zbMATH Keywords

Stein's methodnegative binomial distributioncouplingbinomial distributiontotal variation distanceMarkov binomial distribution

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

Related Items (7)

Compound Poisson approximation ⋮ Approximation of symmetric three-state Markov chain by compound Poisson law ⋮ Approximation for counts of 2-runs in a two state Markov chain ⋮ On a saddlepoint approximation to the Markov binomial distribution ⋮ On exceedances of high levels ⋮ Approximation for counts of head runs ⋮ Asymptotics for the sum of three state Markov dependent random variables

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