On Berry-Esseen results for the compound Poisson distribution
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Publication:1318546
DOI10.1016/0167-6687(93)90532-TzbMath0790.60028OpenAlexW2034023731MaRDI QIDQ1318546
Publication date: 20 June 1994
Published in: Insurance Mathematics \& Economics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-6687(93)90532-t
Related Items (14)
Sharpened upper bounds for the absolute constant in the Berry-Esseen inequality for mixed Poisson random sums ⋮ \(L_1\) bounds for asymptotic normality of random sums of independent random variables ⋮ On the normal approximation of a sum of a random number of independent random variables ⋮ On the normal approximation of a binomial random sum ⋮ Some estimates of normal approximation for the distribution of a sum of a random number of independent random variables ⋮ Structural improvements of nonuniform convergence rate estimates in the central limit theorem with applications to Poisson random sums ⋮ Gaussian expansions and bounds for the Poisson distribution applied to the Erlang B formula ⋮ On the accuracy of the approximation of the complex exponent by the first terms of its Taylor expansion with applications ⋮ Corrected asymptotics for a multi-server queue in the Halfin-Whitt regime ⋮ Correct Ordering in the Zipf–Poisson Ensemble ⋮ Convergence Rate Estimates in the Global CLT for Compound Mixed Poisson Distributions ⋮ Compound Poisson approximation for Markov chains using Stein's method ⋮ Asymptotic estimates of insurance tarifs in the individual risk model ⋮ An improvement of the Berry–Esseen inequality with applications to Poisson and mixed Poisson random sums
Cites Work
- [https://portal.mardi4nfdi.de/wiki/Publication:3893039 On the constant in the nonuniform version of the Berry-Ess�en theorem]
- An application of Fourier methods to the problem of sharpening the Berry-Esseen inequality
- Unnamed Item
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