A strong law of large numbers for partial-sum processes indexed by sets

DOI10.1214/aop/1176993390zbMath0543.60036OpenAlexW2124383537MaRDI QIDQ796170

Ronald Pyke, Richard F. Bass

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1214/aop/1176993390

zbMATH Keywords

law of large numberspartial sum process indexed by sets

Mathematics Subject Classification ID

Strong limit theorems (60F15) Stochastic processes (60G99)

Related Items (12)

Central limit theorems for stochastic processes under random entropy conditions ⋮ Some Characteristics of the Conditional Set-Indexed Empirical Process Involving Functional Ergodic Data ⋮ Strong laws for \(\alpha\)-mixing sequence processes indexed by sets ⋮ Uniform pointwise ergodic theorems for classes of averaging sets and multiparameter subadditive processes ⋮ A set-indexed process in a two-region image ⋮ A uniform strong law of large numbers for partial sum processes of Banach space-valued random sets ⋮ A uniform strong law of large numbers for partial sum processes of fuzzy random variables indexed by sets ⋮ Uniform strong law of large numbers ⋮ Uniform laws of large numbers for triangular arrays of function-indexed processes under random entropy conditions ⋮ Approximation of mappings with values which are upper semicontinuous functions ⋮ Uniform Strong Law of Large Numbers for Random Signed Measures ⋮ Asymptotic results for empirical and partial-sum processes: A review

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