Asymptotics and sharp bounds in the Poisson approximation to the Poisson-binomial distribution
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Publication:1962613
DOI10.2307/3318558zbMath0951.60040OpenAlexW2063875414MaRDI QIDQ1962613
Publication date: 4 January 2001
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.bj/1143122301
large deviationsPoisson approximationprobability metricsmoderate deviationsPoisson-binomial distributionCharlier B expansion
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Improvements in the Poisson approximation of mixed Poisson distributions ⋮ Explicit upper bounds for the Stirling numbers of the first kind ⋮ Compound Poisson approximations for sums of 1-dependent random variables. I ⋮ A Charlier-Parseval approach to Poisson approximation and its applications ⋮ The Poisson binomial distribution -- old \& new ⋮ Differential calculus for linear operators represented by finite signed measures and applications ⋮ Kerstan's method for compound Poisson approximation. ⋮ Refined total variation bounds in the multivariate and compound Poisson approximation ⋮ Nonuniform Approximations for Sums of Discrete m-Dependent Random Variables ⋮ Sharp constants in the Poisson approximation ⋮ 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 ⋮ On the accuracy of Poisson approximation ⋮ Unnamed Item ⋮ Poisson type approximations for the Markov binomial distribution ⋮ Poisson approximation of multivariate Poisson mixtures ⋮ Convergence Rate Estimates in the Global CLT for Compound Mixed Poisson Distributions ⋮ Infinitely divisible approximations for discrete nonlattice variables ⋮ Isomorphisms and non-isomorphisms of \(\mathrm{AT}\) actions ⋮ Poisson approximation
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