A limit theorem for the moments of sums of independent random variables

DOI10.1007/BF02761503zbMath0391.60050MaRDI QIDQ1251426

Jeremy Berman

Publication date: 1978

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Sums of Independent Random VariablesInfinite Series Of Independent Random VariablesLimit Theorem

Mathematics Subject Classification ID

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

Cites Work

• An estimate for \(E(|S_n|)\) for variables in the domain of normal attraction of a stable law of index \(\alpha\), \(1< \alpha < 2\)
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