Stein's method for discrete Gibbs measures

DOI10.1214/07-AAP0498zbMath1146.60011arXiv0808.2877WikidataQ57747978 ScholiaQ57747978MaRDI QIDQ939082

Peter Eichelsbacher, Gesine D. Reinert

Publication date: 20 August 2008

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.2877

zbMATH Keywords

birth and death processesStein's methodGibbs measuressize bias coupling

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05) Probability distributions: general theory (60E05) Classical equilibrium statistical mechanics (general) (82B05)

Related Items (12)

A Pólya Approximation to the Poisson-Binomial Law ⋮ Stein's Method and Stochastic Orderings ⋮ Characterizations of non-normalized discrete probability distributions and their application in statistics ⋮ Stein's method for positively associated random variables with applications to the Ising and voter models, bond percolation, and contact process ⋮ On discrete Gibbs measure approximation to runs ⋮ Approximations related to the sums of \(m\)-dependent random variables ⋮ Binomial approximation to locally dependent collateralized debt obligations ⋮ Stein's Method for the Beta Distribution and the Pólya-Eggenberger Urn ⋮ Hitting time and mixing time bounds of Stein's factors ⋮ Approximating stationary distributions of fast mixing Glauber dynamics, with applications to exponential random graphs ⋮ Approximations to weighted sums of random variables ⋮ A unified approach to Stein's method for stable distributions

Cites Work

• Binomial approximation to the Poisson binomial distribution
• On the rate of convergence in the multivariate CLT
• Stein's method for diffusion approximations
• Non-uniform bounds for geometric approximation
• Distributional transformations, orthogonal polynomials, and Stein characterizations
• Stein's method and birth-death processes
• The Classification of Birth and Death Processes
• Stein's method for geometric approximation
• Multivariate normal approximations by Stein's method and size bias couplings
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