The Stein-Tikhomirov Method and Berry-Esseen Inequality for Sampling Sums from a Finite Population of Independent Random Variables

DOI10.1007/978-3-642-33549-5_14zbMath1283.60037OpenAlexW191296573MaRDI QIDQ2838147

Sh. K. Formanov, Tamara A. Formanova

Publication date: 8 July 2013

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-33549-5_14

zbMATH Keywords

characteristic functionindependent random variablesBerry-Esseen inequalityStein-Tikhomirov method

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Limit theorems in probability theory (60F99)

Related Items

On the proximity of sequences of probability distributions, Testing normality in any dimension by Fourier methods in a multivariate Stein equation, On Lindeberg-Feller limit theorem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An extension of the Lindeberg-Feller theorem
• An \(L_p\) bound for the remainder in a combinatorial central limit theorem
• Limit theorems for sampling from finite populations
• An estimate of the remainder in a combinatorial central limit theorem
• On sampling from a finite set of independent random variables