Limit theorems for weighted sums of random elements in separable Banach spaces

DOI10.1016/0047-259X(79)90100-3zbMath0415.60027MaRDI QIDQ600157

M. Bhaskara Rao, Abolghassem Bozorgnia

Publication date: 1979

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

zbMATH Keywords

independencepairwise independenceconvergence in probabilityidentical distributionconvergence almost surelyrandom elements in Banach spacessummability restrictions

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Strong limit theorems (60F15) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20)

Related Items (5)

Limit theorems for randomly weighted sums of random elements in normed linear spaces ⋮ Strong convergence of weighted sums of random elements through the equivalence of sequences of distributions ⋮ A review on strong convergence of weighted sums of random elements based on Wasserstein metrics ⋮ Unnamed Item ⋮ On the limit behaviour of weighted sums of random variables

Cites Work

• Stochastic convergence of weighted sums in normed linear spaces
• A strong law of large numbers for subsequences of random elements in separable Banach spaces
• Convergence of weighted averages of independent random variables
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