Some weak and strong laws of large numbers for D[0,1]-valued random variables

DOI10.1080/07362998708809130zbMath0639.60004OpenAlexW2091670262MaRDI QIDQ3780171

M. Bhaskara Rao, Xiang Chen Wang

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/07362998708809130

zbMATH Keywords

weak law of large numbersuniform integrability conditionsconvergence in the Skorokhod topologyconvex tightnessweak law of large numbers in the norm topology

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (1)

A method to derive strong laws of large numbers for random upper semicontinuous functions

Cites Work

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• A note on convergence of weighted sums of random variables
• Convergence of weighted sums of random elements in \(D[0,1\)]
• On compact convex subsets of D[0,1]
• The law of large numbers and the central limit theorem in Banach spaces
• Laws of large numbers for D(0,1)
• Convergence of weighted averages of independent random variables

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