Some estimates of normal approximation for the distribution of a sum of a random number of independent random variables

DOI10.1007/s10986-012-9176-2zbMath1263.60019OpenAlexW1971210365MaRDI QIDQ1943764

Jonas Kazys Sunklodas

Publication date: 21 March 2013

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

Full work available at URL: https://doi.org/10.1007/s10986-012-9176-2

zbMATH Keywords

central limit theoremnormal approximationrandom sum

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (6)

On the normal approximation under some condition for a differential equation of the characteristic function ⋮ \(L_1\) bounds for asymptotic normality of random sums of independent random variables ⋮ On the normal approximation of a sum of a random number of independent random variables ⋮ On the normal approximation of a binomial random sum ⋮ Convergence Rate Estimates in the Global CLT for Compound Mixed Poisson Distributions ⋮ On the normal approximation of a negative binomial random sum

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