On an upper bound for Jensen's inequality.
Simic, Slavko (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Simic, Slavko (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Hästö, Peter A. (2002)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Panchenko, Dmitriy (2001)
Electronic Communications in Probability [electronic only]
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Adiga, C., Kim, T., Somashekara, D.D., Fathima, Syeda Noor (2003)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Mansour, Toufik, Shabani, Armend Sh. (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Alexander Rakhlin, Dmitry Panchenko, Sayan Mukherjee (2005)
ESAIM: Probability and Statistics
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In this paper we focus on the problem of estimating a bounded density using a finite combination of densities from a given class. We consider the Maximum Likelihood Estimator (MLE) and the greedy procedure described by Li and Barron (1999) under the additional assumption of boundedness of densities. We prove an bound on the estimation error which does not depend on the number of densities in the estimated combination. Under the boundedness assumption, this improves the bound of Li...
Bordellès, Olivier (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Bordellés, Olivier (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Batir, Necdet (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Bordellès, Olivier (2002)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Furman, Edward, Zitikis, Ricardas (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Witkowski, Alfred (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Baricz, Árpád (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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