Results 1 to 10 of about 1,621,061 (265)
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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A strong law of large numbers for capacities [PDF]
The Annals of Probability, 2005 We consider a totally monotone capacity on a Polish space and a sequence of bounded p.i.i.d. random variables. We show that, on a full set, any cluster point of empirical averages lies between the lower and the upper Choquet integrals of the random variables, provided either the random variables or the capacity are continuous.
Maccheroni, Fabio, Marinacci, Massimo
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Strong Law of Large Numbers of Pettis-Integrable Multifunctions [PDF]
Journal of Mathematics, 2019 Using reversed martingale techniques, we prove the strong law of large numbres for independent Pettis-integrable multifunctions with convex weakly compact values in a Banach space.
Hamid Oulghazi, Fatima Ezzaki
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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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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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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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On the Strong Law of Large Numbers [PDF]
Transactions of the American Mathematical Society, 1949 \(f(x) = f(x+1)\) besitze in \((0,1)\) den Mittelwert Null sowie die Streuung Eins und \((n_k)\) sei eine Folge von natürlichen Zahlen mit \(n_{k+1}/n_k > c > 1\). Die Frage, welche Bedingung das sog. starke Gesetz \[ g = \lim_{N\to \infty} \sum_{k=1}^N f(n_k x)/N = 0 \] für fast alle \(x\) sichert, ist von Kac, Salem, Zygmund unlängst mit den \(n ...
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International Journal of Mathematics and Mathematical Sciences, 1999 Let {Xij} be a double sequence of pairwise independent random variables.
Dug Hun Hong, Seok Yoon Hwang
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Strong laws of large numbers for general random variables in sublinear expectation spaces
Journal of Inequalities and Applications, 2019 In this paper, we obtain the equivalent relations between Kolmogorov maximal inequality and Hájek–Rényi maximal inequality both in moment and capacity types in sublinear expectation spaces.
Weihuan Huang, Panyu Wu
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Further Spitzer’s law for widely orthant dependent random variables
Journal of Inequalities and Applications, 2021 The Spitzer’s law is obtained for the maximum partial sums of widely orthant dependent random variables under more optimal moment conditions.
Pingyan Chen, Jingjing Luo, Soo Hak Sung
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