On complete convergence of weighted sums of random elements

DOI10.1081/SAP-120002420zbMath1136.60304MaRDI QIDQ4542843

Soo Hak Sung, Manuel Ordóñez Cabrera

Publication date: 2002

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Banach spacesComplete convergenceRandom elementsWeighted sumsRowwise independence

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12) (L^p)-limit theorems (60F25)

Related Items (2)

Weighted \(M\)-estimators for multivariate clustered data ⋮ On Chung's law of large numbers on simply connected step 2-nilpotent Lie groups

Cites Work

• Inequalities for B-valued random vectors with applications to the strong law of large numbers
• Some stability results for vector valued random variables
• On complete convergence in a Banach space
• On the strong law for arrays and for the bootstrap mean and variance
• A note on Chung's strong law of large numbers
• Complete convergence for sums of arrays of random elements
• On Chung's strong law of large numbers in general Banach spaces
• Convergence Rates on Strong Laws of Large Numbers for Arrays of Rowwise Independent Elements
• Complete convergence for weighted sums of arrays of rowwise independent b-valued random variables
• Complete Convergence and the Law of Large Numbers
• Note on Some Strong Laws of Large Numbers

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