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Limit theorems for iid products of positive matrices

open access: bronze
Christophe Cuny   +2 more
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ON SZEGÖ'S LIMIT THEOREM

Mathematics of the USSR-Izvestiya, 1971
In this article a problem in the theory of Toeplitz forms is analyzed. The problem was first formulated and solved by G. Szeg? in 1952, and since solved by many authors under more general conditions. A solution is given to Szeg?'s problem under conditions which are best possible, and also some refinements of the problem are examined.
Golinskii, B. L., Ibragimov, I. A.
openaire   +1 more source

The Discounted Limit Theorems

Acta Applicandae Mathematicae, 2006
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Saulis, L., Deltuvienė, D.
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A Limit Theorem for Copulas

2005
We characterize convergence of a sequence of d-dimensional random vectors by convergence of the one-dimensional margins and of the copula. The result is applied to the approximation of portfolios modelled by t-copulas with large degrees of freedom, and to the convergence of certain dependence measures of bivariate distributions.
Lindner, Alexander M.   +1 more
openaire   +2 more sources

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