Bounds for tail probabilities of the sample variance.
Bentkus, V., Van Zuijlen, M. (2009)
Journal of Inequalities and Applications [electronic only]
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Bentkus, V., Van Zuijlen, M. (2009)
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Set, Erhan, Özdemir, M.Emin, Dragomir, Sever S. (2010)
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Aldéric Joulin, Nicolas Privault (2004)
ESAIM: Probability and Statistics
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We present several functional inequalities for finite difference gradients, such as a Cheeger inequality, Poincaré and (modified) logarithmic Sobolev inequalities, associated deviation estimates, and an exponential integrability property. In the particular case of the geometric distribution on we use an integration by parts formula to compute the optimal isoperimetric and Poincaré constants, and to obtain an improvement of our general logarithmic Sobolev inequality. By a limiting procedure...
Yeh, Cheh-Chih, Yeh, Hung-Wen, Chan, Wenyaw (2008)
Journal of Inequalities and Applications [electronic only]
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Gozlan, Nathael (2006)
Electronic Communications in Probability [electronic only]
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Nourdin, Ivan, Viens, Frederi G. (2009)
Electronic Journal of Probability [electronic only]
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Dümbgen, Lutz, Leuenberger, Christoph (2008)
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