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arXiv · 2208.09534

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

Sergey Bobkov·Gennadiy Chistyakov·Friedrich Götze
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Abstract

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.

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Sergey Bobkov, Gennadiy Chistyakov, Friedrich Götze. 2022-08-19. Richter's local limit theorem,its refinement,and related results. https://doi.org/10.1007/s10986-023-09598-9

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