On the Strong Law of Large Numbers for Multivariate Martingales with Continuous Time
, 2001 Доводиться підсилений закон великих чисел для векторних мартингалів з довільними оператор-ними нормуваннями. Із доведеної теореми виводиться ряд відомих результатів про підсилений закон великих чисел для мартингалів з неперервним часом.We prove the ...
Коваль, В.А.
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A strong law of large numbers for triangular mixingale arrays
In this paper a strong law of large numbers for triangular mixingale arrays is proven. The mixingale condition is one of asymptotically weak dependence. A strong law of large numbers for triangular mixingale arrays has not been established previously in ...
de Jong, Robert M.
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The Conditional Strong Law of Large Numbers in Separable Banach Spaces
, 2018 Let X be a separable Banach space. Suppose that X1, X2,... are X valued random variables that are conditionally independent and identically distributed given a sub-σ-algebra.
Shikimi, Takuhisa
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A strong law of large numbers for ruled sums
We get a criterion for the strong law of large numbers for ruled sums of i.i.d. random variables indexed by finite sets. As applications we obtain strong laws of large numbers for rectangular sums of independent random variables.Ruled sums i.i.d.
Mikosch, Thomas, Skovoroda, Boris
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The Strong Law of Large Numbers and the Glivenko-Cantelli Theorem in a finitely additive setting [PDF]
, 1984 1 online resource (PDF, 12 pages)Armstrong, Thomas E.. (1984). The Strong Law of Large Numbers and the Glivenko-Cantelli Theorem in a finitely additive setting.
Armstrong, Thomas E.
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The strong law of large numbers for dependent random variables
This paper establishes two results for the strong law of large numbers under negative association and [varrho]-mixing. In their proofs, a Háyek-Rényi-type maximal inequality is employed.Strong law of large numbers Negatively associated random variables ...
Kuczmaszewska, Anna
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Conditions of applicability of the strong law of large number
Duke Mathematical Journal, 1945 Not ...
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Reconstructing the Network of Horizontal Gene Exchange in Bacteria to Differentiate Direct and Indirect Transfers. [PDF]
Genome Biol EvolSheinman M +4 more
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On the strong law of large numbers for multivariate martingales
The strong law of large numbers is considered for a multivariate martingale normed by a sequence of square matrices. In particular multivariate martingale extensions of the strong laws of Kolmogorov and Marcinkiewicz-Zygmund are presented. Convergence to
Kaufmann, Heinz
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Exact laws for sums of ratios of order statistics from the Pareto distribution
Open Mathematics, 2006 Adler André
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