Asymptotic properties of randomly indexed sequences of random variables

DOI10.2307/3315300zbMath0474.60019OpenAlexW2096596716MaRDI QIDQ3928725

Miklós Csörgő, Zdzisław Rychlik

Publication date: 1981

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3315300

zbMATH Keywords

weak convergencestable convergencesequential estimationrandom indicesmixing convergenceAnscombe's condition

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Sequential estimation (62L12)

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• On the central limit theorem for the sum of a random number of independent random variables