A central limit theorem for sums of a random number of independent random variables

DOI10.4064/CM-35-1-147-158zbMath0351.60051OpenAlexW333174462MaRDI QIDQ4121256

Zdzisław Rychlik

Publication date: 1976

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm-35-1-147-158

Mathematics Subject Classification ID

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

Related Items (10)

Convergence in law of random sums with non-random centering ⋮ A Necessary and Sufficient Condition for Convergence in Law of Random Sums of Random Variables Under Nonrandom Centering ⋮ Limit behavior of sums of a random number of independent random variables ⋮ On the weak laws of large numbers for compound random sums of independent random variables with convergence rates ⋮ Unnamed Item ⋮ On the rates of convergence in central limit theorems for compound random sums of independent random variables ⋮ On the order of approximation in limit theorems for negative-binomial sums of strictly stationary \(m\)-dependent random variables ⋮ Martingale random central limit theorems ⋮ A central limit theorem for martingales ⋮ Limit distributions for risk processes in case of claim amounts of finite expectation

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