A strong law of large numbers for random upper semicontinuous functions under exchangeability conditions.
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Publication:1423084
DOI10.1016/j.spl.2003.08.004zbMath1061.60029OpenAlexW1973165303MaRDI QIDQ1423084
Publication date: 14 February 2004
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.spl.2003.08.004
strong law of large numbersexchangeabilityfuzzy random variablerandom upper semicontinuous functionsrandom compact set
Related Items (9)
Strong law of large numbers for t-normed arithmetics ⋮ Strong laws of large numbers for arrays of rowwise independent random compact sets and fuzzy random sets ⋮ On Borel measurability and large deviations for fuzzy random variables ⋮ A Random Set Extension of a Strong Law of Large Numbers of Cantrell and Rosalsky ⋮ Integrals of random fuzzy sets ⋮ Some laws of large numbers for arrays of random upper semicontinuous functions ⋮ Algebraic, metric and probabilistic properties of convex combinations based on the t-normed extension principle: the strong law of large numbers ⋮ A note on strong laws of large numbers for dependent random sets and fuzzy random sets ⋮ Negative association and negative dependence for random upper semicontinuous functions, with applications
Cites Work
- Integrals, conditional expectations, and martingales of multivalued functions
- A generalized strong law of large numbers
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- Constructive definitions of fuzzy random variables
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- An Embedding Theorem for Spaces of Convex Sets
- Fuzzy random variables
- Exchangeability and convergence for random sets
- A unified approach to fuzzy random variables
- Separability for graph convergence of sequences of fuzzy-valued random variables
- A method to derive strong laws of large numbers for random upper semicontinuous functions
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