On the convergence of Markov binomial to Poisson distribution

DOI10.1016/S0167-7152(02)00118-9zbMath1008.60046MaRDI QIDQ1613105

Vydas Čekanavičius

Publication date: 5 September 2002

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

Poisson approximationtotal variation approximations

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (2)

A compound Poisson convergence theorem for sums of \(m\)-dependent variables ⋮ Two limit theorems for Markov binomial distribution

Cites Work

• Asymptotic expansions in the Poisson limit theorem
• A compound Poisson convergence theorem
• An approximation theorem for convolutions of probability measures
• Signed Poisson approximations for Markov chains
• Approximating kth-order two-state Markov chains
• On the Convergence of Binomial to Poisson Distributions
• A Generalization of Poisson's Distribution for Markoff Chains
• Compound Poisson approximations for sums of random variables
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