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

DOI10.1016/0047-259X(91)90049-8zbMath0736.60003MaRDI QIDQ1175672

Peter Z. Daffer

Publication date: 25 June 1992

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

zbMATH Keywords

tightnesscàdlàg functionsProkhorov's theoremweak laws of large numbersSkorokhod \(J_ 1\)-topologySkorokhod \(M_ 1\)-topology

Mathematics Subject Classification ID

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

Related Items (1)

Negative association and negative dependence for random upper semicontinuous functions, with applications

Cites Work

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• Weak convergence of linear forms in D[0,1]
• Stochastic convergence of weighted sums of random elements in linear spaces
• Stochastic convergence of randomly weighted sums of random elements
• L¹-Tightness and the law of large numbers inD(IR)
• Weak convergence of probability measures and random functions in the function space D[0,∞)
• Weak Convergence of Stochastic Processes Defined on Semi-Infinite Time Intervals
• The Law of Large Numbers for $D[0,1$-Valued Random Variables]

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