Convergence of weighted sums for arrays of negatively dependent random variables and its applications

DOI10.1016/J.JSPI.2010.02.021zbMath1253.60034OpenAlexW2056935658MaRDI QIDQ974491

Sung-Tae Park, Jong-Il Baek

Publication date: 3 June 2010

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2010.02.021

zbMATH Keywords

complete convergencelinear processesnegatively dependent random variables

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

Related Items (11)

Complete moment convergence of weighted sums for arrays of negatively dependent random variables and its applications ⋮ On the Rate of Complete Convergence for Weighted Sums of Arrays of Rowwise ϕ-Mixing Random Variables ⋮ The strong convergence properties of weighted sums for a class of dependent random variables ⋮ On the strong convergence for weighted sums of negatively superadditive dependent random variables ⋮ Strong convergence for weighted sums of arrays of rowwise pairwise NQD random variables ⋮ Complete convergence for weighted sums of arrays of APND random variables ⋮ On complete convergence of weighted sums for arrays of rowwise extended negatively dependent random variables ⋮ Complete convergence for negatively orthant dependent random variables ⋮ Complete moment convergence for maximal partial sums under NOD setup ⋮ Convergence of weighted sums for sequences of pairwise NQD random variables ⋮ Complete convergence and complete moment convergence for extended negatively dependent random variables

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