Asymptotic Expansions for i.i.d. Sums Via Lower-order Convolutions

DOI10.1080/03610926.2013.765473zbMath1334.60014OpenAlexW1945010623MaRDI QIDQ3462368

Kenneth S. Berenhaut, James W. Jun. Chernesky, Ross P. Hilton

Publication date: 5 January 2016

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2013.765473

zbMATH Keywords

cumulantsnormal distributionHermite polynomialsEdgeworth expansionsconvolutionslocal approximationslattice distributionssaddlepoint approximationssymmetric distributions

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Probability distributions: general theory (60E05)

Cites Work

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• On the compatibility of Dyson's conditions
• On the sum of \(t\) and Gaussian random variables
• Review of the stirling numbers, their generalizations and Statistical Applications
• Saddlepoint Approximations with Applications
• Distribution of the linear combination of two general beta variables and applications
• BAXTER ALGEBRAS, STIRLING NUMBERS AND PARTITIONS
• Information Given by Odd Moments

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