An exponential inequality for negatively associated random variables.
Sung, Soo Hak (2009)
Journal of Inequalities and Applications [electronic only]
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Sung, Soo Hak (2009)
Journal of Inequalities and Applications [electronic only]
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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.
Jung, Hee Sun, Sakai, Ryozi (2009)
Journal of Inequalities and Applications [electronic only]
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Hildebrand, Martin V. (2006)
Electronic Communications in Probability [electronic only]
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Anwar, Matloob, Pecaric, Josip E. (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Nowak, Grzegorz, Sikorska-Nowak, Aneta (2007)
Journal of Inequalities and Applications [electronic only]
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Adil Khan, M., Pečarić, J.E. (2010)
Journal of Inequalities and Applications [electronic only]
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Gao, Peng (2001)
International Journal of Mathematics and Mathematical Sciences
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Blambert, M., Parvatham, R. (1979)
International Journal of Mathematics and Mathematical Sciences
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Anwar, Matloob, Pečarić, J. (2008)
Journal of Inequalities and Applications [electronic only]
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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.
Zang, Qing-Pei (2010)
Journal of Inequalities and Applications [electronic only]
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Biggins, J.D. (2004)
Electronic Communications in Probability [electronic only]
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