Signed Poisson approximations for Markov chains

DOI10.1016/S0304-4149(99)00017-4zbMath0997.60073MaRDI QIDQ1613613

Vydas Čekanavičius, M. Mikalauskas

Publication date: 29 August 2002

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

Markov chaintotal variation normcompound Poisson lawsigned Poisson approximation

Mathematics Subject Classification ID

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

Related Items (11)

Total variation asymptotics for sums of independent integer random variables ⋮ On the convergence of Markov binomial to Poisson distribution ⋮ Compound Poisson approximation ⋮ Translated Poisson approximation for Markov chains ⋮ Mod-\(\phi\) convergence: approximation of discrete measures and harmonic analysis on the torus ⋮ On approximation of Markov binomial distributions ⋮ Compound Poisson and signed compound Poisson approximations to the Markov binomial law ⋮ Lower-bound estimates for Poisson-type approximations ⋮ Moderate and large deviation estimate for the Markov-binomial distribution ⋮ Binomial approximation to the Markov binomial distribution ⋮ Poisson type approximations for the Markov binomial distribution

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