Some estimates of the normal approximation for independent non-identically distributed random variables

DOI10.1007/s10986-011-9108-6zbMath1283.60040OpenAlexW2081398662MaRDI QIDQ392755

Jonas Kazys Sunklodas

Publication date: 15 January 2014

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-011-9108-6

zbMATH Keywords

upper boundcentral limit theoremindependent random variablesEdgeworth expansionnon-identically distributed random variables

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (6)

On some approximations for sums of independent random variables ⋮ On some approximations for sums of \(m\)-dependent random variables ⋮ Some estimates of normal approximation for the distribution of a sum of a random number of independent random variables ⋮ Estimates of the approximation of weighted sums of conditionally independent random variables by the normal law ⋮ Some estimates of the normal approximation for \(\varphi \)-mixing random variables ⋮ \(L_1\) bounds for some martingale central limit theorems

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• On the Convergence of Moments in the Central Limit Theorem
• The Approximate Distributions of the Mean and Variance of a Sample of Independent Variables
• On minimal smoothness conditions for asymptotic expansions of moments in the CLT

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