Richter's local limit theorem, its refinement, and related results*
Bobkov SGG, Chistyakov G, Götze F (2023)
Lithuanian Mathematical Journal.
Zeitschriftenaufsatz
| E-Veröff. vor dem Druck | Englisch
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Autor*in
Bobkov, Sergey G. G.;
Chistyakov, GennadiyUniBi;
Götze, FriedrichUniBi
Einrichtung
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
ISSN
0363-1672
eISSN
1573-8825
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.
Bobkov, S. G. G., Chistyakov, G., & Götze, F. (2023). Richter's local limit theorem, its refinement, and related results*. Lithuanian Mathematical Journal. 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.
Bobkov, S. G. G., Chistyakov, G., and Götze, F. (2023). Richter's local limit theorem, its refinement, and related results*. Lithuanian Mathematical Journal.
Bobkov, S.G.G., Chistyakov, G., & Götze, F., 2023. Richter's local limit theorem, its refinement, and related results*. Lithuanian Mathematical Journal.
S.G.G. Bobkov, G. Chistyakov, and F. Götze, “Richter's local limit theorem, its refinement, and related results*”, Lithuanian Mathematical Journal, 2023.
Bobkov, S.G.G., Chistyakov, G., Götze, F.: Richter's local limit theorem, its refinement, and related results*. Lithuanian Mathematical Journal. (2023).
Bobkov, Sergey G. G., Chistyakov, Gennadiy, and Götze, Friedrich. “Richter's local limit theorem, its refinement, and related results*”. Lithuanian Mathematical Journal (2023).
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