On weak convergence of stochastic processes with Lusin path spaces

DOI10.1007/BF01169769zbMath0531.60007MaRDI QIDQ788370

Dieter Kadelka, Heinz Cremers

Publication date: 1984

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154978

zbMATH Keywords

weak convergence, finite dimensional distribution, Lusin space, Prokhorov's theorem

Mathematics Subject Classification ID

Stochastic processes (60G99) Convergence of probability measures (60B10) Functional limit theorems; invariance principles (60F17) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (4)

On weak convergence of integral functionals of stochastic processes with applications to processes taking paths in \(L^ E_ p\) ⋮ Operator self-similar processes and functional central limit theorems ⋮ The central limit theorem for empirical and quantile processes in some Banach spaces ⋮ Measures on topological spaces

Cites Work

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• A note on compactness in Banach spaces
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• CONVERGENCE OF MEASURES AND RANDOM PROCESSES
• A limit theorem for measurable random processes and its applications
• Bounded Measures on Topological Spaces
• On Convergence of Stochastic Processes
• Convergence of distributions of functionals of measurable random fields

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