Sharp constants in the Poisson approximation

DOI10.1016/S0167-7152(00)00208-XzbMath0991.60014MaRDI QIDQ5937061

Bero Roos

Publication date: 14 August 2002

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

zbMATH Keywords

Poisson approximationPoisson binomial distributionprobability metricssharp constants

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50)

Related Items (24)

Improvements in the Poisson approximation of mixed Poisson distributions ⋮ Compound Poisson approximation ⋮ Compound Poisson approximations for symmetric vectors ⋮ Compound Poisson approximations for sums of 1-dependent random variables. II ⋮ Compound Poisson approximations for sums of 1-dependent random variables. I ⋮ A Charlier-Parseval approach to Poisson approximation and its applications ⋮ Compound Poisson and signed compound Poisson approximations to the Markov binomial law ⋮ An expansion in the exponent for compound binomial approximations ⋮ Kerstan's method for compound Poisson approximation. ⋮ On exceedances of high levels ⋮ Refined total variation bounds in the multivariate and compound Poisson approximation ⋮ The Kolmogorov distance between the binomial and Poisson laws: efficient algorithms and sharp estimates ⋮ Two-parametric compound binomial approximations. ⋮ Sharp estimates in signed Poisson approximation of Poisson mixtures ⋮ Compound binomial approximations ⋮ Exact values and sharp estimates for the total variation distance between binomial and Poisson distributions ⋮ Poisson approximation in terms of the Gini-Kantorovich distance ⋮ On the accuracy of Poisson approximation ⋮ Binomial approximation to the Markov binomial distribution ⋮ Poisson type approximations for the Markov binomial distribution ⋮ Convergence Rate Estimates in the Global CLT for Compound Mixed Poisson Distributions ⋮ Poisson approximation ⋮ On Hipp's compound Poisson approximations via concentration functions ⋮ Approximation of a sample by a Poisson point process

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