Displaying similar documents to “Exponential inequalities for positively associated random variables and applications.”

The rate of convergence for spectra of GUE and LUE matrix ensembles

Friedrich Götze, Alexander Tikhomirov (2005)

Open Mathematics

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We obtain optimal bounds of order O(n −1) for the rate of convergence to the semicircle law and to the Marchenko-Pastur law for the expected spectral distribution functions of random matrices from the GUE and LUE, respectively.

Cauchy's means of Levinson type.

Anwar, Matloob, Pecaric, Josip E. (2008)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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On the bounded laws of iterated logarithm in Banach space

Dianliang Deng (2005)

ESAIM: Probability and Statistics

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In the present paper, by using the inequality due to Talagrand’s isoperimetric method, several versions of the bounded law of iterated logarithm for a sequence of independent Banach space valued random variables are developed and the upper limits for the non-random constant are given.