Richter's local limit theorem,its refinement,and related results
arXiv:2208.09534 · doi:10.1007/s10986-023-09598-9
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.
Revised version with improved error bounds and dedication to the memory of Gennadiy P. Chistyakov