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The Law of Large Numbers

2016
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Yves Benoist, Jean-François Quint
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An Abstract Law of Large Numbers

Sankhya A, 2019
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Nabil I. Al-Najjar, Luciano Pomatto
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ON THE STRONG LAW OF LARGE NUMBERS

Acta Mathematica Scientia, 2005
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Qiu, Dehua, Gan, Shixin
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Hyperfinite Law of Large Numbers

Bulletin of Symbolic Logic, 1996
AbstractThe Loeb space construction in nonstandard analysis is applied to the theory of processes to reveal basic phenomena which cannot be treated using classical methods. An asymptotic interpretation of results established here shows that for a triangular array (or a sequence) of random variables, asymptotic uncorrelatedness or asymptotic pairwise ...
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Large games and the law of large numbers

Games and Economic Behavior, 2008
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On the strong law of large numbers

Statistics & Probability Letters, 1969
The connection between general moment conditions and SLLN for identically distributed random variables is examined. Let \(f(x)\) be an positive even continuous function strictly increasing in the region \(x>0\) and \(f(+\infty)=\infty\), \(a_n=f^{-1}(n)\) where \(f^{-1}\) is the inverse of \(f\). The following two statements are proved. 1) Let \(\{X_n\}
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