The series is devoted to the publication of high-level monographs and surveys which cover the whole spectrum of probability and statistics. The books of the series are addressed to both experts and advanced students.
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This work examines inequalities for characteristic functions and the theory of empirical characteristic function. The first chapter contains basic general results concerning characteristic functions. The second chapter deals with various inequalities for characteristic functions, and in the third chapter empirical characteristic functions and their applications to statistics are studied. A collection of various examples, counterexamples and assertions demonstrating interesting properties of characteristic functions is also included.
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