On complete convergence and the strong law of large numbers for pairwise independent random variables

DOI10.1007/s10474-013-0370-4zbMath1299.60025OpenAlexW1989403115MaRDI QIDQ2453811

Yanyan Li

Publication date: 10 June 2014

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-013-0370-4

zbMATH Keywords

complete convergencestrong law of large numbersmoving average processpairwise independent random variables\(B\)-valued random element

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (12)

Some strong limit theorems for weighted sums of measurable operators ⋮ On the strong law of large numbers for pairwise i.i.d. random variables with general moment conditions ⋮ Unnamed Item ⋮ Optimal moment conditions for complete convergence for maximal normed weighted sums from arrays of rowwise independent random elements in Banach spaces ⋮ Unnamed Item ⋮ Baum-Katz's type theorems for pairwise independent random elements in certain metric spaces ⋮ On the strong convergence and complete convergence for pairwise NQD random variables ⋮ On the strong convergence for weighted sums of negatively associated random variables ⋮ Complete convergence for weighted sums of pairwise independent random variables ⋮ A Spitzer-type law of large numbers for widely orthant dependent random variables ⋮ Unnamed Item ⋮ Further Spitzer's law for widely orthant dependent random variables

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