The order of approximation in the central limit theorem for random summation

DOI10.1007/BF01903624zbMath0643.60021OpenAlexW2061397744MaRDI QIDQ1102027

Andrzej Krajka, Zdzisław Rychlik

Publication date: 1988

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01903624

zbMATH Keywords

rate of convergencerandom central limit theorem

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50)

Cites Work

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• A counterexample in the approximation theory of random summation
• Weak convergence of sequences of random elements with random indices
• On the speed of convergence in the random central limit theorem for ?-mixing processes
• The exact approximation order in the central-limit-theorem for random summation
• A random functional central limit theorem for martingales
• On the central limit theorem for the sum of a random number of independent random variables
• On the central limit theorem for the sum of a random number of independent random variables

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