Convergence in the \(p\)th-mean and some weak laws of large numbers for weighted sums of random elements in separable normed linear spaces

DOI10.1016/0047-259X(84)90071-XzbMath0546.60006OpenAlexW2039846809MaRDI QIDQ797889

M. Bhaskara Rao, Xiang Chen Wang

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0047-259x(84)90071-x

zbMATH Keywords

weak law of large numbersuniformly tight random elements

Mathematics Subject Classification ID

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

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Cites Work

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• Stochastic convergence of weighted sums in normed linear spaces
• Convergence of weighted sums of tight random elements
• Laws of large numbers for tight random elements in normed linear spaces
• Laws of large numbers for normed linear spaces and certain Frechet spaces
• Weak Laws of Large Numbers in Normed Linear Spaces