Convergence of weighted sums of random elements in \(D[0,1]\)

DOI10.1016/0047-259X(80)90085-8zbMath0431.60006MaRDI QIDQ1138286

Peter Z. Daffer, Robert Lee Taylor

Publication date: 1980

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

zbMATH Keywords

weighted sumsconvergence in probabilitySkorohod topology

Mathematics Subject Classification ID

Large deviations (60F10) Convergence of probability measures (60B10) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (4)

Some weak and strong laws of large numbers for D[0,1-valued random variables] ⋮ Limit theorems for \(D[0,1\)-valued autoregressive processes] ⋮ Stochastic convergence of randomly weighted sums of random elements ⋮ Weak convergence of linear forms in D[0,1]

Cites Work

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• Stochastic convergence of weighted sums of random elements in linear spaces
• The law of large numbers and the central limit theorem in Banach spaces
• Convergence of weighted sums of tight random elements
• Laws of large numbers for D(0,1)
• On the distribution of large prime divisors
• The Law of Large Numbers for $D[0,1$-Valued Random Variables]

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