Moment-Type Estimates for Characteristic Functions with Application to Von Mises Inequality*


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详细

We obtaine exact moment-type estimates for the real part and for the absolute value of a characteristic function with the first three moments being fixed. As a corollary, the Mises inequality for lattice distributions is improved and generalized to the case of fractional-order moments.

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I. Shevtsova

Lomonosov Moscow State University and Institute of Informatics Problems, Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences

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Email: ishevtsova@cs.msu.ru
俄罗斯联邦, Moscow

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