On the weak law of large numbers for arrays

DOI10.1016/0167-7152(94)00047-CzbMath0815.60023MaRDI QIDQ1344832

Kwang Sik Oh, Dug Hun Hong

Publication date: 22 February 1995

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

zbMATH Keywords

arraysweak law of large numbersdomination condition

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Central limit and other weak theorems (60F05)

Related Items (11)

A mean convergence theorem and weak law for arrays of random elements in martingale type \(p\) Banach spaces ⋮ On the weak law of large numbers for randomly indexed partial sums for arrays ⋮ Mean convergence theorems and weak laws of large numbers for weighted sums of dependent random variables ⋮ Weak law of large numbers for arrays ⋮ Weak law of large numbers for arrays of random variables ⋮ On the weak law for randomly indexed partial sums for arrays of random elements in martingale type \(p\) Banach spaces ⋮ WLLN for arrays of nonnegative random variables ⋮ On the weak laws for arrays of random variables ⋮ Mean Convergence Theorems with or without Random Indices for Randomly Weighted Sums of Random Elements in Rademacher TypepBanach Spaces ⋮ Weak laws of large numbers for arrays of dependent random variables ⋮ On the weak laws of large numbers for arrays of random variables

Cites Work

• A limit theorem for double arrays
• The weak law of large numbers for arrays
• On convergence in r-mean of some first passage times and randomly indexed partial sums
• On the L^p convergence of sums of independent random variables
• On Convergence in $r$-Mean of Normalized Partial Sums
• An $L^p$-Convergence Theorem
• On the $L_p$-Convergence for $n^{-1/p} S_n, 0 < p < 2^1$
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