Results 11 to 20 of about 1,623,067 (304)
AIMS MathematicsIn this article, using the Fuk-Nagaev type inequality, we studied general strong law of large numbers for weighted sums of $ m $-widely acceptable ($ m $-WA, for short) random variables under sublinear expectation space with the integral condition ...
Qingfeng Wu +3 more
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Strong laws of large numbers for sub-linear expectations [PDF]
, 2015 We investigate three kinds of strong laws of large numbers for capacities with a new notion of independently and identically distributed (IID) random variables for sub-linear expectations initiated by Peng.
ZengJing Chen
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On the strong law of large numbers [PDF]
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1940 Tatsuo Kawata
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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 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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A note on the strong law of large numbers [PDF]
, 1968 identically distributed (i.i.d.) random variables. Let Sn-t^Xk (fl » 1, 2, • • •)• J f e- 1 A long standing problem in probability theory has been to find ...
Binmore, K.G., Katz, M.
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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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On conditions for the strong law of large numbers in general Banach spaces
International Journal of Mathematics and Mathematical Sciences, 2000 We give Chung-Teicher type conditions for the SLLN in general Banach spaces under the assumption that the weak law of large numbers holds. An example is provided showing that these conditions can hold when some earlier known conditions fail.
Anna Kuczmaszewska, Dominik Szynal
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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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