Stability of precise Laplace's method under approximations; Applications

DOI10.1051/ps:1999103zbMath0932.60031OpenAlexW2128183766MaRDI QIDQ4265263

Alice Guionnet

Publication date: 10 October 1999

Published in: ESAIM: Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/104258

zbMATH Keywords

central limit theoremsGibbs measuresLaplace estimates

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05) Large deviations (60F10)

Cites Work

• Limit theorems for \(U\)-processes
• Nonlinear reflecting diffusion process, and the propagation of chaos and fluctuations associated
• Central limit theorem for a simple diffusion model of interacting particles
• On the bootstrap of \(U\) and \(V\) statistics
• Decoupling and Khintchine's inequalities for \(U\)-statistics
• Methode de laplace: etude variationnelle des fluctuations de diffusions de type
• Central limit theorem for a system of Markovian particles with mean field interactions
• Convergence of moments and related functional in the general central limit theorem in banach spaces
• Laplace approximations for sums of independent random vectors
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