Convergence in \(r\)-mean of weighted sums of NQD random variables

DOI10.1016/J.AML.2011.12.030zbMath1256.60016OpenAlexW2030163309MaRDI QIDQ1761557

Soo Hak Sung

Publication date: 15 November 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.12.030

zbMATH Keywords

uniform integrabilityweak law of large numbersnegative quadrant dependent\(L^{r}\) convergence

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) (L^p)-limit theorems (60F25)

Related Items (14)

Complete moment convergence of weighted sums for arrays of negatively dependent random variables and its applications ⋮ Convergence in mean for double arrays of \(M\)-pairwise negatively dependent random variables ⋮ The moment of maximum normed sums of randomly weighted pairwise NQD sequences ⋮ Moment Inequalities for $m$-NOD Random Variables and Their Applications ⋮ Weak and strong laws of large numbers for arrays of rowwise END random variables and their applications ⋮ Unnamed Item ⋮ Sharp sufficient conditions for mean convergence of the maximal partial sums of dependent random variables with general norming sequences ⋮ Laws of large numbers and complete convergence for WOD random variables and their applications ⋮ Convergence in \(p\)-mean for arrays of row-wise extended negatively dependent random variables ⋮ On the strong convergence and complete convergence for pairwise NQD random variables ⋮ Convergence in \(p\)-mean for arrays of random variables ⋮ The consistency of estimator under fixed design regression model with NQD errors ⋮ Complete convergence of the non-identically distributed pairwise NQD random sequences ⋮ An improved version of a result of Chandra, Li, and Rosalsky

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