Laws of large numbers for D(0,1)

DOI10.1214/AOP/1176995150zbMath0402.60010OpenAlexW2082272458MaRDI QIDQ1255721

Peter Z. Daffer, Robert Lee Taylor

Publication date: 1979

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176995150

zbMATH Keywords

Convex TightnessLaws of Large NumbersSkorokhod Metric

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Strong limit theorems (60F15) Stochastic processes (60G99) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (16)

Brownian motions on infinite dimensional quadric hypersurfaces ⋮ Law of large numbers for weakly dependent random variables with values in $D[0,1$] ⋮ Convergence of weighted sums of random elements in \(D[0,1\)] ⋮ An Analysis of a Large-Scale Machine Repair Model ⋮ Some weak and strong laws of large numbers for D[0,1-valued random variables] ⋮ On the uniform convergence of random series in Skorohod space and representations of càdlàg infinitely divisible processes ⋮ A stong law of large numbers for fuzzy random variables ⋮ The Skorokhod topology on space of fuzzy numbers ⋮ Exponential bounds for intensity of jumps ⋮ Kolmogorov's strong law of large numbers for fuzzy random variables ⋮ Laws of large numbers for \(D[0,1\)] ⋮ Stochastic convergence of randomly weighted sums of random elements ⋮ A method to derive strong laws of large numbers for random upper semicontinuous functions ⋮ Compactness and convexity on the space of fuzzy sets ⋮ QED limits for many-server systems under a priority policy ⋮ Weak convergence of linear forms in D[0,1]

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