Results 1 to 10 of about 90,064 (303)
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 [PDF]
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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On Strong Law of Large Numbers for Dependent Random Variables [PDF]
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
Annals of Probability, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly +4 more sources
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 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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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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An extension of Feller’s strong law of large numbers [PDF]
Statistics & Probability Letters, 2018 10 pages. arXiv admin note: text overlap with arXiv:1703.07868.
Department of Mathematical Sciences, Lakehead University, Thunder Bay, Ontario, Canada ( host institution ) +3 more
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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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