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Exponential inequalities for tail probabilities of generalized order statistics
Authors:Frank Marohn
Affiliation:(1) Institute of Applied Mathematics and Statistics, University of Würzburg, D–97074 Würzburg, Germany
Abstract:
We establish exponential bounds for the probability that a generalized order statistic exceeds a given threshold or falls below a given threshold. As a main tool we apply the Bernstein inequality for sums of independent random variables.Received May 2003
Keywords:Generalized order statistic  exponential inequality  Bernstein inequality
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