On Sums Of Independen Random Vectors

DOI10.1080/03610928708829361zbMath0621.60008OpenAlexW1978963813MaRDI QIDQ3757045

Nasrollah Etemadi

Publication date: 1987

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610928708829361

zbMATH Keywords

weak law of large numbersthree series theoremBanach space valued random variablesKolmogorov maximal inequalities

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items

On Complete Convergence for Arrays of Random Elements, On the rate of convergence of series of banach space valued random elements, On convergence of series of independent random elements in banach spaces

Cites Work

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• Inequalities for B-valued random vectors with applications to the strong law of large numbers
• Some stability results for vector valued random variables
• Tail probabilities for sums of independent Banach space valued random variables