Strong laws of large numbers for adapted arrays of set-valued and fuzzy-valued random variables in Banach space
From MaRDI portal
Publication:691721
DOI10.1016/j.fss.2012.04.012zbMath1254.60012OpenAlexW2076966626MaRDI QIDQ691721
Nguyen Van Quang, Nguyen Tran Thuan
Publication date: 4 December 2012
Published in: Fuzzy Sets and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.fss.2012.04.012
fuzzy setsstrong law of large numbersfuzzy-valued random variablesset-valued random variables\(p\)-uniformly smoothadapted arraysconditionally compactly uniformly integrablestochastically dominated
Related Items (8)
Complete convergence for arrays of rowwise independent random variables and fuzzy random variables in convex combination spaces ⋮ A note on Lévy subordinators in cones of fuzzy sets in Banach spaces ⋮ Mosco convergence of strong laws of large numbers for triangular array of row-wise exchangeable random sets and fuzzy random sets ⋮ Some laws of large numbers for arrays of random upper semicontinuous functions ⋮ The core of a double sequence of fuzzy numbers ⋮ Mosco convergence of SLLN for triangular arrays of rowwise independent random sets ⋮ Negative association and negative dependence for random upper semicontinuous functions, with applications ⋮ A parameterized \(L^2\) metric between fuzzy numbers and its parameter interpretation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Limit theorems and applications of set-valued and fuzzy set-valued random variables
- Strong laws of large numbers for arrays of rowwise independent random compact sets and fuzzy random sets
- On the strong law of large numbers and \(\mathcal L_p\)-convergence for double arrays of random elements in \(p\)-uniformly smooth Banach spaces
- Strong laws of large numbers for independent fuzzy set-valued random variables
- Strong laws for blockwise \(\mathcal M\)-dependent random fields
- A strong law of large numbers for fuzzy random sets
- Convex analysis and measurable multifunctions
- Integrals, conditional expectations, and martingales of multivalued functions
- Rosenthal type inequalities for \(B\)-valued strong mixing random fields and their applications
- A generalized strong law of large numbers
- Strong law of large numbers for Banach space valued fuzzy random variables
- Weak laws of large numbers for fuzzy random variables
- Marcinkiewicz-type law of large numbers for fuzzy random variables
- An embedding theorem for convex fuzzy sets
- Strong convergence for weighted sums of fuzzy random sets
- Strong and Weak Laws of Large Numbers for Double Sums of Independent Random Elements in Rademacher TypepBanach Spaces
- Some various convergence results for multivalued martingales
- Convergence of weighted sums of random sets
- On Convergence and Closedness of Multivalued Martingales
- Complete Convergence and the Law of Large Numbers
- Fuzzy random variables
- Convergence of randomly weighted sums of Banach space valued random elements and uniform integrability concerning the random weights
This page was built for publication: Strong laws of large numbers for adapted arrays of set-valued and fuzzy-valued random variables in Banach space