Asymptotics at Infinity of Negative Binomial Infinitely Divisible Distributions

DOI10.1137/S0040585X97984851zbMath1221.60018OpenAlexW1968734568MaRDI QIDQ5198652

Arsen L. Yakymiv

Publication date: 9 August 2011

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0040585x97984851

zbMATH Keywords

Laplace transformcharacteristic functiondominatedly varying functionsspectral Lévy measurenegative binomial infinitely divisible distributionweak equivalence of functions at infinityweakly oscillated functions

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Characteristic functions; other transforms (60E10)

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An extension of Zolotarev's problem and some related results ⋮ On the order of approximation in limit theorems for negative-binomial sums of strictly stationary \(m\)-dependent random variables

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