Conditional convergence for randomly weighted sums of random variables based on conditional residual \(h\)-integrability

DOI10.1186/1029-242X-2013-122zbMath1284.60064OpenAlexW2158395400WikidataQ59301754 ScholiaQ59301754MaRDI QIDQ2636686

Yan Chen, Yu Zhou, Aiting Shen, Ran Chao Wu

Publication date: 31 January 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-122

zbMATH Keywords

uniform integrabilityrandomly weighted sumsconditional almost sure convergenceconditional mean convergenceconditionally residually integrableconditionally strongly residually integrable

Mathematics Subject Classification ID

Strong limit theorems (60F15) (L^p)-limit theorems (60F25)

Related Items (8)

Complete moment convergence of double-indexed randomly weighted sums of mixing sequences ⋮ Complete moment convergence for randomly weighted sums of END sequences and its applications ⋮ Complete convergence of randomly weighted END sequences and its application ⋮ Limiting behaviour for arrays of rowwise widely orthant dependent random variables under conditions of R − h-integrability and its applications ⋮ 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 ⋮ Conditional mean convergence theorems of conditionally dependent random variables under conditions of integrability ⋮ The moment of maximum normed randomly weighted sums of martingale differences

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