On the maximal inequalities for the average of pairwise i.i.d. random variables

DOI10.1080/03610928408828858zbMath0559.60005OpenAlexW2120383743MaRDI QIDQ5185760

Nasrollah Etemadi

Publication date: 1984

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610928408828858

zbMATH Keywords

separable Banach spacemaximal inequalitiespairwise independent random variablestwo sided inequalities

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Probability theory on linear topological spaces (60B11)

Related Items (6)

On the integrability of \(\sup | S_ n| /n^{1/r}\) for \(1<r<2\) ⋮ On moment conditions for the supremum of normed sums ⋮ General Weak Laws of Large Numbers for Bootstrap Sample Means ⋮ On moments of the supremum of normed weighted averages ⋮ Some general strong laws for weighted sums of stochastically dominated random variables ⋮ Maximal inequalities for partial sums of independent random vectors with multi dimensional time parameters

Cites Work

• Martingales with a countable filtering index set
• Sums of independent random variables on partially ordered sets
• Marcinkiewicz laws and convergence rates in the law of large numbers for random variables with multidimensional indices
• An elementary proof of the strong law of large numbers
• Moments of the maximum of normed partial sums of random variables with multidimensional indices
• Maximal inequalities as necessary conditions for almost everywhere convergence

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