On the global central limit theorem for \(M\)-dependent random variables

DOI10.1007/BF02333419zbMath0834.60023MaRDI QIDQ1901202

J. Sundklodas

Publication date: 7 November 1995

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

zbMATH Keywords

upper estimatesstandard normal distribution

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items

On the rate of convergence in the global central limit theorem for random sums of independent random variables

Cites Work

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• \(L_1\) bounds for asymptotic normality of m-dependent sums using Stein's technique
• An \(L_p\) bound for the remainder in a combinatorial central limit theorem
• A central limit theorem for m-dependent random variables with unbounded m
• Two central limit problems for dependent random variables
• Inequalities for the $r$th Absolute Moment of a Sum of Random Variables, $1 \leqq r \leqq 2$