Convergence of weighted sums of random sets

DOI10.1080/07362998508809069zbMath0575.60003OpenAlexW2080925867MaRDI QIDQ3696093

Hiroshi Inoue, Robert Lee Taylor

Publication date: 1985

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362998508809069

zbMATH Keywords

tightnessrandom setsseparable Banach spaceHausdorff distancestrong laws of large numberscompactly uniformly integrable random setsRadström embedding theorem

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Strong limit theorems (60F15) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (10)

Strong laws of large numbers for independent fuzzy set-valued random variables ⋮ Mosco convergence of SLLN for triangular arrays of rowwise independent random sets ⋮ A new family of convex weakly compact valued random variables in Banach space and applications to laws of large numbers ⋮ Strong laws of large numbers for adapted arrays of set-valued and fuzzy-valued random variables in Banach space ⋮ LAWS OF LARGE NUMBERS FOR WEIGHTED SUMS OF FUZZY SET-VALUED RANDOM VARIABLES ⋮ Strong convergence for weighted sums of fuzzy random sets ⋮ A note on strong laws of large numbers for dependent random sets and fuzzy random sets ⋮ Exchangeability and convergence for random sets ⋮ A Law of Large Numbers for Exchangeable Random Variables on Nonadditive Measures ⋮ Strong limit theorems for random sets and fuzzy random sets with slowly varying weights

Cites Work

• Unnamed Item
• Convexification in limit laws of random sets in Banach spaces
• Characterization and domains of attraction of p-stable random compact sets
• Stochastic convergence of weighted sums of random elements in linear spaces
• Convergence of weighted sums of tight random elements
• Strong law of large numbers for Banach space valued random sets
• An Embedding Theorem for Spaces of Convex Sets

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