scientific article; zbMATH DE number 7589367
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Publication:5868608
Publication date: 21 September 2022
Full work available at URL: http://nfaa.kyungnam.ac.kr/journal-nfaa/index.php/NFAA/article/view/1604
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fuzzy random variableconvex combination spacemean convergence theoremcompactly uniformly \(r\)-th order integrable in Cesàro sense (Cesàro \(r\)-th CUI)
Probability measures on topological spaces (60B05) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Limit theorems in probability theory (60F99) Probability theory and stochastic processes (60-XX)
Cites Work
- \(L^r\) convergence for \(B\)-valued random elements
- Complete convergence for arrays of rowwise independent random variables and fuzzy random variables in convex combination spaces
- Mean convergence theorems and weak laws of large numbers for weighted sums of dependent random variables
- Strong law of large numbers and \(L^p\)-convergence for double arrays of independent random variables
- Strong laws of large numbers for arrays of rowwise independent random compact sets and fuzzy random sets
- Strong laws of large numbers for independent fuzzy set-valued random variables
- The law of large numbers in a metric space with a convex combination operation
- Approach for a metric space with a convex combination operation and applications
- Mean convergence theorems for weighted sums of arrays of residually \(h\)-integrable random variables concerning the weights under dependence assumptions
- A mean convergence theorem and weak law for arrays of random elements in martingale type \(p\) Banach spaces
- Convergence in \(r\)-mean of weighted sums of NQD random variables
- Mean convergence theorems and weak laws of large numbers for weighted sums of random variables under a condition of weighted integrability
- Baum-Katz's type theorems for pairwise independent random elements in certain metric spaces
- Some strong laws of large number for double array of random upper semicontinuous functions in convex combination spaces
- Strong laws of large numbers and mean convergence theorems for randomly weighted sums of arrays under a condition of integrability
- Summary: On the strong laws of large numbers for double arrays of random variables in convex combination spaces
- On complete convergence and the strong law of large numbers for pairwise independent random variables
- Fuzzy random variables
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