Convergence Rates on Strong Laws of Large Numbers for Arrays of Rowwise Independent Elements

DOI10.1080/07362999308809305zbMath0764.60037OpenAlexW2080898118MaRDI QIDQ4036139

M. Bhaskara Rao, Xiang Chen Wang, Xiao-Yun Yang

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1080/07362999308809305

zbMATH Keywords

convergence ratescomplete convergencestrong laws of large numbersarray of rowwise independent random elements in a separable Banach space

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (15)

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 ⋮ Complete convergence and almost sure convergence of weighted sums of random variables ⋮ On complete convergence of weighted sums of random elements ⋮ On complete convergence for arrays of rowwise dependent random variables ⋮ On the complete convergence of moving average process with Banach space valued random elements ⋮ A note on the complete convergence for arrays of rowwise independent random elements ⋮ Complete convergence for weighted sums of arrays of rowwise independent b-valued random variables ⋮ Retracted: Convergence of weighted sums for arrays of negatively dependent random variables and its applications. ⋮ On complete convergence for arrays of rowwise independent random elements in banach spaces ⋮ On the complete convergence of weighted sums for arrays of negatively associated variables ⋮ On some conditions for complete convergence for arrays ⋮ Complete Moment Convergence for Sequences of Independent Random Elements in Banach Spaces ⋮ 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

• 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
• Laws of Large Numbers for Identically Distributed Banach-Space Valued Random Variables
• Tail probabilities for sums of independent Banach space valued random variables
• The Probability in the Tail of a Distribution
• Complete Convergence and the Law of Large Numbers
• On a Theorem of Hsu and Robbins

This page was built for publication: Convergence Rates on Strong Laws of Large Numbers for Arrays of Rowwise Independent Elements