Characteristic Functions of Weighted Sums

Sergey Bobkov; Gennadiy Chistyakov; Friedrich Götze

doi:10.1007/978-3-031-31149-9_13

Characteristic Functions of Weighted Sums

Sergey Bobkov, Gennadiy Chistyakov, Friedrich Götze

School of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

In order to study deviations of the distribution functions F₀ from the typical distribution F by means of the Kolmogorov distance, Berry–Esseen-type inequalities, which we discussed in Chapter 3, will be used. To this end we need to focus first on the behavior of characteristic functions of F₀.

Original language	English (US)
Title of host publication	Probability Theory and Stochastic Modelling
Publisher	Springer Nature
Pages	241-257
Number of pages	17
DOIs	https://doi.org/10.1007/978-3-031-31149-9_13
State	Published - 2023

Publication series

Name	Probability Theory and Stochastic Modelling
Volume	104
ISSN (Print)	2199-3130
ISSN (Electronic)	2199-3149

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© 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.

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10.1007/978-3-031-31149-9_13

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Characteristic Functions of Weighted Sums

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