Large deviations for random upper semicontinuous functions

DOI10.2748/TMJ/1245849444zbMath1181.60039OpenAlexW1973736459MaRDI QIDQ843030

Yukio Ogura, Takayoshi Setokuchi

Publication date: 29 September 2009

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1245849444

zbMATH Keywords

large deviationsrandom setsrandom upper semicontinuous functions

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Theory of fuzzy sets, etc. (03E72) Large deviations (60F10)

Related Items (2)

Set-valued and fuzzy stochastic differential equations in M-type 2 Banach spaces ⋮ A Note on Large Deviations of Random Sets and Random Upper Semicontinuous Functions

Cites Work

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• Limit theorems and applications of set-valued and fuzzy set-valued random variables
• Measures of the non-convexity of sets and the Shapley–Folkman–Starr theorem
• Asymptotic evaluation of certain Markov process expectations for large time—III
• Large deviations for sums of i.i.d. random compact sets
• Limit theorems for random compact sets in Banach space
• Large and Moderate Deviations of Random Upper Semicontinuous Functions

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