Gaussian expansions and bounds for the Poisson distribution applied to the Erlang B formula

DOI10.1239/aap/1208358889zbMath1137.62006OpenAlexW2110556347MaRDI QIDQ5387080

Johan S. H. van Leeuwaarden, Bert Zwart, Augustus J. E. M. Janssen

Publication date: 15 May 2008

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/aap/1208358889

zbMATH Keywords

asymptotic expansionboundsnormal distributionLambert \(W\)-functionGaussian integralsErlang loss modelRamanujan's conjecture

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Queueing theory (aspects of probability theory) (60K25) Integral transforms of special functions (44A20) Integral transforms, operational calculus (44A99)

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