On convergence to the Poisson law for distributions of the sum of random variables connected into a chain

DOI10.1007/BF02350359zbMath0861.60030OpenAlexW2090359799MaRDI QIDQ1925171

P. P. Gudinas

Publication date: 21 May 1997

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02350359

zbMATH Keywords

Markov chainconvergence in lawPoisson distributionPoisson convergence

Mathematics Subject Classification ID

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

Related Items (1)

Large deviations for sums of random variables connected into a Markov chain in approximation by Poisson law

Cites Work

• Unnamed Item
• Two moments suffice for Poisson approximations: The Chen-Stein method
• Refinements of the central limit theorem for a homogeneous Markov chain
• Poisson approximation for dependent trials

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