Poisson approximation in \(\chi^2\) distance by the Stein-Chen approach

DOI10.3150/22-BEJ1512MaRDI QIDQ2692549

Vytas Zacharovas

Publication date: 22 March 2023

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.04982

zbMATH Keywords

Poisson approximationCharlier polynomialsStein-Chen approach\(\chi^2\) metricCharlier-Parseval identity

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05) Approximations to statistical distributions (nonasymptotic) (62E17)

Cites Work

• A Charlier-Parseval approach to Poisson approximation and its applications
• Distributional transformations, orthogonal polynomials, and Stein characterizations
• Nonuniform bounds in the Poisson approximation with applications to informational distances. II
• Logarithmic Sobolev inequalities for finite Markov chains
• Rényi Divergence and Kullback-Leibler Divergence
• On the rate of Poisson convergence
• Non-Uniform Bounds in the Poisson Approximation With Applications to Informational Distances I
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