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Limit Theorems as Stability Theorems

Theory of Probability & Its Applications, 1990
the classical theory oflimit theorems. The authorwas Andrei Nikolaevich Kolmogorov, one of the greatest mathematicians of the 20th century. The breadth of the scientific interests of Kolmogorov and his fundamental contribution to diverse and often quite unrelated areas ofinvestigation have made him a unique figure in modern mathematics.
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Limit theorems in Rk. III

Lithuanian Mathematical Journal, 1983
This paper is jointly reviewed with part III, see the following review; Zbl 0567.60025.
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Löb's Theorem as a Limitation on Mechanism

Minds and Machines, 2002
Summary: We argue that Löb's Theorem implies a limitation on mechanism. Specifically, we argue, via an application of a generalized version of Löb's Theorem, that any particular device known by an observer to be mechanical cannot be used as an epistemic authority (of a particular type) by that observer: either the belief-set of such an authority is not
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Functional Central Limit Theorems

2008
Central limit theorems guarantee that the distributions of properly normalized sums of certain random variables are approximately normal. In many cases, however, a more detailed analysis is necessary. When testing for structural constancy in models, we might be interested in the temporal evolution of our sums.
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On a Combinatorial Limit Theorem

Theory of Probability & Its Applications, 1974
Kolchin, V. F., Chistyakov, V. P.
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THE CENTRAL LIMIT THEOREM

1991
H. Mark, J. Workman
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A Limit Theorem on the Core of an Economy

International Economic Review, 1963
Debreu, Gerard, Scarf, Herbert
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Some Limit Theorems

American Journal of Mathematics, 1948
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The central limit theorem and the problem of equivalence of ensembles

Communications in Mathematical Physics, 1977
Brunello Tirozzi, R L Dobrushin
exaly  

A general central limit theorem under sublinear expectations

Science China Mathematics, 2010
Yufeng Shi
exaly  

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