Inequalities for Functions of the Sum of the Indicators of Events |
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Authors: | A S Tarasenko |
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Institution: | 1.Sobolev Institute of Mathematics,Novosibirsk,Russia;2.Novosibirsk State University,Novosibirsk,Russia |
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Abstract: | We obtain moment inequalities for the sum of the indicators of events and an upper estimate for a convex function of such a sum. Our results generalize inequalities that were obtained earlier for moment characteristics of the sojourn time of a random walk on a half-axis. |
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