On the Accuracy of Normal Approximation for the Distributions of Sums of a Random Number of Independent Random Variables

DOI10.1137/1133079zbMath0676.60045OpenAlexW2141140373MaRDI QIDQ3831805

V. Yu. Korolev

Publication date: 1988

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/1133079

zbMATH Keywords

random sum of random variablesuniform estimations of the accuracy of normal approximation

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Limit theorems in probability theory (60F99)

Related Items (5)

\(L_1\) bounds for asymptotic normality of random sums of independent random variables ⋮ On the normal approximation of a binomial random sum ⋮ Some estimates of normal approximation for the distribution of a sum of a random number of independent random variables ⋮ 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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