Uniform convergence in some limit theorems for multiple particle systems

DOI10.1016/S0304-4149(97)00070-7zbMath0942.60015OpenAlexW1982620732MaRDI QIDQ1965885

Jon A. Wellner, Evarist Giné M.

Publication date: 1 March 2000

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0304-4149(97)00070-7

zbMATH Keywords

Brownian motionempirical processescentral limit theoremrandom measures

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30) Brownian motion (60J65) Functional limit theorems; invariance principles (60F17) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

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The central limit theorem for the Smoluchovski coagulation model, Nonlinear Markov semigroups and interacting Lévy type processes

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