On the weak laws of large numbers for arrays of random variables

DOI10.1016/J.SPL.2009.08.014zbMath1179.60012OpenAlexW2034828863MaRDI QIDQ1038435

Zheng Yan Lin, Yan-Jiao Meng

Publication date: 18 November 2009

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

Full work available at URL: https://doi.org/10.1016/j.spl.2009.08.014

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (7)

Complete moment convergence of weighted sums for arrays of negatively dependent random variables and its applications ⋮ THE CONVERGENCE AND WEAK LAWS OF LARGE NUMBERS FOR -MIXING RANDOM VARIABLES ⋮ On convergence for sequences of pairwise negatively quadrant dependent random variables. ⋮ Strong convergence for weighted sums of arrays of rowwise pairwise NQD random variables ⋮ Complete convergences for arrays of row-wise PNQD random variables ⋮ Weak laws of large numbers for arrays of dependent random variables ⋮ Some Limit Theorems for Arrays of Rowwise Pairwise Negatively Quadratic Dependent Random Variables

Cites Work

• On the weak law of large numbers for arrays
• A martingale inequality and large deviations.
• On the convergence of weighted sums of \(L_q\)-mixingale arrays
• Some Concepts of Dependence
• Some Results on the Complete and Almost Sure Convergence of Linear Combinations of Independent Random Variables and Martingale Differences
• On the $L_p$-Convergence for $n^{-1/p} S_n, 0 < p < 2^1$
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