Gaussian fluctuations in complex sample covariance matrices.
Su, Zhonggen (2006)
Electronic Journal of Probability [electronic only]
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Displaying similar documents to “Varadhan's theorem for capacities”
Gaussian fluctuations in complex sample covariance matrices.
Distortion mismatch in the quantization of probability measures
Siegfried Graf, Harald Luschgy, Gilles Pagès (2008)
ESAIM: Probability and Statistics
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We elucidate the asymptotics of the -quantization error induced by a sequence of -optimal -quantizers of a probability distribution on when . In particular we show that under natural assumptions, the optimal rate is preserved as long as (and for every in the case of a compactly supported distribution). We derive some applications of these results to the error bounds for quantization based cubature formulae in numerical integration on and on the Wiener space.
On some BK spaces.
De Malafosse, Bruno (2003)
International Journal of Mathematics and Mathematical Sciences
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Generalized quasilinearization method and higher order of convergence for second-order boundary value problems.
Melton, Tanya G., Vatsala, A.S. (2006)
Boundary Value Problems [electronic only]
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Calculations on some sequence spaces.
De Malafosse, Bruno (2004)
International Journal of Mathematics and Mathematical Sciences
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Equiconnected spaces and Baire classification of separately continuous functions and their analogs
Olena Karlova, Volodymyr Maslyuchenko, Volodymyr Mykhaylyuk (2012)
Open Mathematics
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We investigate the Baire classification of mappings f: X × Y → Z, where X belongs to a wide class of spaces which includes all metrizable spaces, Y is a topological space, Z is an equiconnected space, which are continuous in the first variable. We show that for a dense set in X these mappings are functions of a Baire class α in the second variable.