Bounding distributional errors via density ratios

DOI10.3150/20-BEJ1256zbMath1497.62054arXiv1905.03009OpenAlexW3153659926MaRDI QIDQ2040039

Lutz Dümbgen, Richard J. Samworth, Jon A. Wellner

Publication date: 9 July 2021

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.03009

zbMATH Keywords

Poisson approximationbinomial distributiontotal variation distancehypergeometric distributionrelative errors

Mathematics Subject Classification ID

Approximations to statistical distributions (nonasymptotic) (62E17) Convergence of probability measures (60B10)

Related Items (3)

Some new inequalities for beta distributions ⋮ Distributed computation for marginal likelihood based model choice ⋮ A Unifying Tutorial on Approximate Message Passing

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Binomial approximation to the Poisson binomial distribution
• A dozen de Finetti-style results in search of a theory
• Finite exchangeable sequences
• A general Poisson approximation theorem
• The density ratio of Poisson binomial versus Poisson distributions
• A course on point processes
• On the Poisson--binomial relative error
• Exact bounds on the closeness between the Student and standard normal distributions
• The rate of convergence in law of the maximum of an exponential sample
• A Remark on Stirling's Formula
• The Poisson Approximation to the Poisson Binomial Distribution
• On the rate of Poisson convergence
• On the rate of convergence of normal extremes
• Asymptotical independence of the lengths of subintervals of a randomly partitioned interval; a sample from S. Ikeda's work

This page was built for publication: Bounding distributional errors via density ratios