On the central limit theorem along subsequences of sums of i.i.d. random variables

DOI10.1007/S00362-013-0551-9zbMath1307.60016OpenAlexW2007786637MaRDI QIDQ465632

O. I. Klesov, Gheorghe Stoica, De Li Li

Publication date: 24 October 2014

Published in: Statistical Papers (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00362-013-0551-9

zbMATH Keywords

central limit theoremsubsequencesMarcinkiewicz-Zygmund weak law of large numberssums of i.i.d. random variables

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Probability distributions: general theory (60E05) Rate of growth of functions, orders of infinity, slowly varying functions (26A12)

Cites Work

• A Counterexample in the Central Limit Theorem
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