Results 11 to 20 of about 174,228,126 (292)
On MV-Algebraic Versions of the Strong Law of Large Numbers [PDF]
Entropy, 2019 Many-valued (MV; the many-valued logics considered by Łukasiewicz)-algebras are algebraic systems that generalize Boolean algebras. The MV-algebraic probability theory involves the notions of the state and observable, which abstract the probability ...
Piotr Nowak, Olgierd Hryniewicz
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Permutation Invariant Strong Law of Large Numbers for Exchangeable Sequences
Journal of Probability and Statistics, 2021 We provide a permutation invariant version of the strong law of large numbers for exchangeable sequences of random variables. The proof consists of a combination of the Komlós–Berkes theorem, the usual strong law of large numbers for exchangeable ...
Stefan Tappe
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A Strong Law of Large Numbers for Martingales [PDF]
Proceedings of the American Mathematical Society, 1984 We derive a moment inequality for the Skorohod representation theorem and apply it to obtain a strong law of large numbers for martingales.
Sheu, Shey Shiung, Yao, Yu Shan
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A strong law of large numbers for independent compactly uniformly integrable random sets [PDF]
Arab Journal of Mathematical SciencesPurposeThe aim of this work is to prove a strong law of large numbers for a sequence of independent compactly uniformly integrable random sets with values in the family of convex closed subsets of a separable Banach space E, again without requiring any ...
Mohammed El Allali +2 more
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On Strong Law of Large Numbers for Dependent Random Variables
Journal of Inequalities and Applications, 2011 We discuss strong law of large numbers and complete convergence for sums of uniformly bounded negatively associate (NA) random variables (RVs). We extend and generalize some recent results.
Wang Zhongzhi
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Discrete Dynamics in Nature and Society, 2019 In this article, we research some conditions for strong law of large numbers (SLLNs) for weighted sums of extended negatively dependent (END) random variables under sublinear expectation space.
Xiaochen Ma, Qunying Wu
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Weighted Strong Law of Large Numbers for Random Variables Indexed by a Sector [PDF]
Journal of Probability and Statistics, 2011 We find necessary and sufficient conditions for the weighted strong law of large numbers for independent random variables with multidimensional indices belonging to some sector.
Przemysław Matuła, Michał Seweryn
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On the strong law of large numbers
Annals of Probability, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly +4 more sources
A Note on Chung's Strong Law of Large Numbers
Journal of Mathematical Analysis and Applications, 1998 This paper first shows that if \(Y_n\) is a sequence of independent centered real random variables satisfying moment conditions with respect to a sequence of reals, \(c_n\), then \(\sum^\infty_1Y_n/c_n\) converges almost surely. The second theorem states that if \(X_n\) are independent centered variables and \(a_{nj}\) is an array of reals satisfying \(
Jardas, Cvetan +2 more
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On the Strong Law of Large Numbers [PDF]
Proceedings of the American Mathematical Society, 1970 indicator variables given by F*(X) = 1 if | Sk — kp\ =\k, and 0 otherwise, and let JV»(X) = z2? ^(X)- Then ATM(X) = Jji" Yk(\) is precisely the "finitely many" random variable of the Strong Law of Large Numbers. Indeed, this law may be formulated in terms of this counting variable as in the following. Strong law of large numbers.
Slivka, J., Severo, N. C.
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