Comparison theorems for small deviations of random series.
Gao, F., Hannig, J., Torcaso, F. (2003)
Electronic Journal of Probability [electronic only]
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Gao, F., Hannig, J., Torcaso, F. (2003)
Electronic Journal of Probability [electronic only]
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Bose, Arup, Dasgupta, Amites, Maulik, Krishanu (2007)
Electronic Communications in Probability [electronic only]
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Sung, Soo Hak (2008)
Journal of Inequalities and Applications [electronic only]
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Tómács, Tibor (2008)
Annales Mathematicae et Informaticae
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Roitershtein, Alexander (2005)
Electronic Communications in Probability [electronic only]
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Ludovic Menneteau (2008)
ESAIM: Probability and Statistics
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In this paper, we give sufficient conditions to establish central limit theorems and moderate deviation principle for a class of support estimates of empirical and Poisson point processes. The considered estimates are obtained by smoothing some bias corrected extreme values of the point process. We show how the smoothing permits to obtain Gaussian asymptotic limits and therefore pointwise confidence intervals. Some unidimensional and multidimensional examples are provided. ...
Balan, Raluca, Zamfirescu, Ingrid-Mona (2006)
Electronic Communications in Probability [electronic only]
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Peter Eichelsbacher, Matthias Löwe (2003)
ESAIM: Probability and Statistics
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We derive necessary and sufficient conditions for a sum of i.i.d. random variables – where , but – to satisfy a moderate deviations principle. Moreover we show that this equivalence is a typical moderate deviations phenomenon. It is not true in a large deviations regime.
Kulik, Rafal (2008)
Electronic Journal of Probability [electronic only]
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Hildebrand, Martin V. (2006)
Electronic Communications in Probability [electronic only]
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Lin, Fuming (2009)
Electronic Communications in Probability [electronic only]
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Iksanov, Alex, Möhle, Martin (2007)
Electronic Communications in Probability [electronic only]
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