Complete convergence for weighted sums of arrays of rowwise independent b-valued random variables

DOI10.1080/07362999708809474zbMath0902.60011OpenAlexW2113167605MaRDI QIDQ4381691

Soo Hak Sung

Publication date: 2 December 1998

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

Full work available at URL: https://doi.org/10.1080/07362999708809474

zbMATH Keywords

complete convergenceweighted sums

Mathematics Subject Classification ID

Strong limit theorems (60F15) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (16)

On Complete Convergence for Arrays of Random Elements and Variables ⋮ A Note on the Rate of Complete Convergence for Weighted Sums of Arrays of Banach Space Valued Random Elements ⋮ On complete convergence of triangular arrays of independent random variables ⋮ On complete convergence of weighted sums of random elements ⋮ Complete moment convergence for weighted sums of arrays of Banach-space-valued random elements ⋮ On complete convergence for arrays of rowwise dependent random variables ⋮ On complete convergence and strong law for weighted sums of i.i.d. random variables ⋮ A note on the complete convergence for arrays of rowwise independent random elements ⋮ On complete convergence for Stout's type weighted sums of MOD sequence ⋮ Some complete convergence results for row sums from arrays of rowwise independent random elements in Rademacher type \(p\) Banach spaces ⋮ A remark on LSL for weighted sums of i.i.d random elements ⋮ Complete and complete moment convergence for weighted sums of widely orthant dependent random variables ⋮ On complete convergence for arrays of rowwise independent random elements in banach spaces ⋮ Convergence for weighted sums of widely orthant dependent random variables ⋮ A law of the single logarithm for weighted sums of i.i.d. random elements ⋮ On the rate of complete convergence for weighted sums of arrays of Banach space valued random elements with application to moving average processes

Cites Work

• Unnamed Item
• On strong laws of large numbers for arrays of rowwise independent random elements
• Strong laws of large numbers for arrays of row-wise independent random elements
• Inequalities for B-valued random vectors with applications to the strong law of large numbers
• Strong laws of large numbers for arrays of row-wise independent random variables
• 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
• Tail probabilities for sums of independent Banach space valued random variables
• Exponential Bounds for Large Deviations
• The Probability in the Tail of a Distribution
• Complete Convergence and the Law of Large Numbers

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