Poisson approximation in $χ^2$ distance by Chen-Stein approach
Year: 2021
Type: preprint
Abstract: The main purpose of the paper is to investigate the possibility of applying Chen-Stein approach to estimate the $χ^2$ distance between Poisson distribution and a sum of independent indicators. Earlier results concerning $χ^2$ distance between above mentioned distributions either used analytical approach heavily based on the analysis of the generating functions or on rather lengthy and complicated elementary calculations. Applying Chen-Stein approach we succeed in providing a very quick proof of upper bounds for $χ^2$ distance that are of comparable strength to the earlier estimates obtained by other approaches.
Source: arXiv (Cornell University)
Author: Zacharovas, Vytas
Institution: Vilnius University
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Academia Sinica
OpenAlex ID: W4286980925