Sharp estimates in signed Poisson approximation of Poisson mixtures

DOI10.3150/bj/1110228242zbMath1062.60034OpenAlexW2051408070MaRDI QIDQ1767482

Alberto Lekuona, José A. Adell

Publication date: 11 March 2005

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3150/bj/1110228242

zbMATH Keywords

Poisson approximationprobability metricsPoisson mixtureCharlier polynomialsfinite signed measure

Mathematics Subject Classification ID

Distribution theory (60E99) Limit theorems in probability theory (60F99)

Related Items (10)

On a Ramanujan equation connected with the median of the gamma distribution ⋮ On Stein's method, smoothing estimates in total variation distance and mixture distributions ⋮ Differential calculus for linear operators represented by finite signed measures and applications ⋮ Wilson loop expectations in lattice gauge theories with finite gauge groups ⋮ Signed binomial approximation of binomial mixtures via differential calculus for linear opera\-tors ⋮ Sharp estimates for the median of the \(\Gamma\)(\(n\)+1,1) distribution ⋮ Exact Kolmogorov and total variation distances between some familiar discrete distributions ⋮ Exact values and sharp estimates for the total variation distance between binomial and Poisson distributions ⋮ Dirichlet's eta and beta functions: concavity and fast computation of their derivatives ⋮ Poisson approximation of the mixed Poisson distribution with infinitely divisible mixing law

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