On the strong law of large numbers for pairwise i.i.d. random variables with general moment conditions

DOI10.1016/j.spl.2013.05.009zbMath1285.60030OpenAlexW2038668022MaRDI QIDQ2637359

Soo Hak Sung

Publication date: 11 February 2014

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

Full work available at URL: https://doi.org/10.1016/j.spl.2013.05.009

zbMATH Keywords

complete convergencestrong law of large numberspairwise independent random variablesgeneral moment conditions

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (9)

On the complete convergence and strong law for dependent random variables with general moment conditions ⋮ 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 ⋮ On the strong convergence and complete convergence for pairwise NQD random variables ⋮ On a Spitzer-type law of large numbers for partial sums of m-negatively associated random variables ⋮ On strong law of large numbers and growth rate for a class of random variables ⋮ Asymptotic properties of LS estimators in the errors-in-variables model with MD errors ⋮ Strong laws for weighted sums of \(\rho ^*\)-mixing random variables under general, moment conditions ⋮ On a weak law of large numbers with regularly varying normalizing sequences

Cites Work

• A strong law of large numbers for pairwise independent identically distributed random variables with infinite means
• On complete convergence and the strong law of large numbers for pairwise independent random variables
• An elementary proof of the strong law of large numbers
• Probability: A Graduate Course
• Convergence Rates in the Law of Large Numbers
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