On an Extension of the Weak Law of Large Numbers of Kolmogorov and Feller

DOI10.1080/07362994.2014.886263zbMath1294.60041OpenAlexW2094342906MaRDI QIDQ5420647

Tapas Kumar Chandra

Publication date: 13 June 2014

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362994.2014.886263

zbMATH Keywords

negative associationmaximal inequalitiesweak law of large numbersslowly varying functionsasymptotically almost negative association

Mathematics Subject Classification ID

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

Related Items (6)

A remark on the Kolmogorov-Feller weak law of large numbers ⋮ Weak law of large numbers and complete convergence for general dependent sequences ⋮ On weak laws of large numbers for maximal partial sums of pairwise independent random variables ⋮ A lower bound for the tail probability of partial maxima of dependent random variables and applications ⋮ A note on the weak law of large numbers of Kolmogorov and Feller ⋮ On a weak law of large numbers with regularly varying normalizing sequences

Cites Work

• A note on the almost sure convergence of sums of negatively dependent random variables
• Iterated logarithm laws for asymmetric random variables barely with or without finite mean
• Negative association of random variables, with applications
• Extensions of the strong law of large numbers of Marcinkiewicz and Zygmund for dependent variables
• A Generalization of Weak Law of Large Numbers
• A Limit Theoerm for Random Variables with Infinite Moments
• Probability: A Graduate Course

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