Richter's local limit theorem, its refinement, and related results*

Bobkov, Sergey G. G.; Chistyakov, Gennadiy; Götze, Friedrich

Richter's local limit theorem, its refinement, and related results*

Bobkov SGG, Chistyakov G, Götze F (2023)
Lithuanian Mathematical Journal 63(2): 138–160.

Zeitschriftenaufsatz | Veröffentlicht | Englisch

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DOI

https://doi.org/10.1007/s10986-023-09598-9

URN

urn:nbn:de:0070-pub-29819538

Autor*in

Bobkov, Sergey G. G.; Chistyakov, Gennadiy^UniBi; Götze, Friedrich^UniBi

Einrichtung

Fakultät für Mathematik

Abstract / Bemerkung

We give a detailed exposition of the proof of Richter's local limit theorem in a refined form and establish the stability of the remainder term in this theorem under small perturbations of the underlying distribution (including smoothing).We also discuss related quantitative bounds for characteristic functions and Laplace transforms.

Stichworte

central limit theorem; local limit theorem; characteristic functions

Erscheinungsjahr

2023

Zeitschriftentitel

Lithuanian Mathematical Journal

Band

Ausgabe

Seite(n)

138–160

Urheberrecht / Lizenzen

Creative Commons Namensnennung 4.0 International Public License (CC-BY 4.0)

ISSN

0363-1672

eISSN

1573-8825

Finanzierungs-Informationen

Open-Access-Publikationskosten wurden durch die Universität Bielefeld im Rahmen des DEAL-Vertrags gefördert.

Page URI

https://pub.uni-bielefeld.de/record/2981953

Zitieren

Bobkov SGG, Chistyakov G, Götze F. Richter's local limit theorem, its refinement, and related results*. Lithuanian Mathematical Journal. 2023;63(2): 138–160.

Bobkov, S. G. G., Chistyakov, G., & Götze, F. (2023). Richter's local limit theorem, its refinement, and related results*. Lithuanian Mathematical Journal, 63(2), 138–160. https://doi.org/10.1007/s10986-023-09598-9

Bobkov, Sergey G. G., Chistyakov, Gennadiy, and Götze, Friedrich. 2023. “Richter's local limit theorem, its refinement, and related results*”. Lithuanian Mathematical Journal 63 (2): 138–160.

Bobkov, S. G. G., Chistyakov, G., and Götze, F. (2023). Richter's local limit theorem, its refinement, and related results*. Lithuanian Mathematical Journal 63, 138–160.

Bobkov, S.G.G., Chistyakov, G., & Götze, F., 2023. Richter's local limit theorem, its refinement, and related results*. Lithuanian Mathematical Journal, 63(2), p 138–160.

S.G.G. Bobkov, G. Chistyakov, and F. Götze, “Richter's local limit theorem, its refinement, and related results*”, Lithuanian Mathematical Journal, vol. 63, 2023, pp. 138–160.

Bobkov, S.G.G., Chistyakov, G., Götze, F.: Richter's local limit theorem, its refinement, and related results*. Lithuanian Mathematical Journal. 63, 138–160 (2023).

Bobkov, Sergey G. G., Chistyakov, Gennadiy, and Götze, Friedrich. “Richter's local limit theorem, its refinement, and related results*”. Lithuanian Mathematical Journal 63.2 (2023): 138–160.

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