A Baum-Katz theorem for random variables under exponential moment conditions

DOI10.1016/S0167-7152(98)00009-1zbMath0910.60016MaRDI QIDQ1265941

Hartmut Lanzinger

Publication date: 19 April 1999

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

strong law of large numbersmoment conditionsBaum-Katz law

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (8)

Convergence rates in the law of large numbers and new kinds of convergence of random variables ⋮ On the convergence for PNQD sequences with general moment conditions ⋮ An extension of the Baum-Katz theorem to i.i.d. random variables with general moment conditions ⋮ An intermediate Baum-Katz theorem ⋮ Toeplitz lemma, complete convergence, and complete moment convergence ⋮ A Baum-Katz theorem for i.i.d. random variables with higher order moments ⋮ Complete moment convergence for i.i.d. random variables ⋮ Complete and complete moment convergence for i.i.d. random variables under exponential moment conditions

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