Precise aysmptotics for functionals of point processes having fast decay of correlations

• Applicant: Professor Dr. Peter Eichelsbacher
• Subject Area: Mathematics
• Term: from 2021 to 2024
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 459731056

• Final Report Year: 2024

No abstract available

Publications

• Moderate deviations for some point measures in geometric probability. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 44(3).
  Baryshnikov, Yu; Eichelsbacher, P.; Schreiber, T. & Yukich, J. E.
  
• Stein’s method for discrete Gibbs measures. The Annals of Applied Probability, 18(4).
  Eichelsbacher, Peter & Reinert, Gesine
  
• Moderate Deviations in a Random Graph and for the Spectrum of Bernoulli Random Matrices. Electronic Journal of Probability, 14(none).
  Döring, Hanna & Eichelsbacher, Peter
  
• Stein's Method for Dependent Random Variables Occuring in Statistical Mechanics. Electronic Journal of Probability, 15(none).
  Eichelsbacher, Peter & Loewe, Matthias
  
• Moderate Deviations via Cumulants. Journal of Theoretical Probability, 26(2), 360-385.
  Döring, Hanna & Eichelsbacher, Peter
  
• New Berry-Esseen bounds for non-linear functionals of Poisson random measures. Electronic Journal of Probability, 19(none).
  Eichelsbacher, Peter & Thäle, Christoph
  
• Malliavin-Stein method for variance-gamma approximation on Wiener space. Electronic Journal of Probability, 20(none).
  Eichelsbacher, Peter & Thäle, Christoph
  
• Moderate deviations for stabilizing functionals in geometric probability. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 51(1).
  Eichelsbacher, P.; Raič, M. & Schreiber, T.
  
• A simplified second-order Gaussian Poincaré inequality in discrete setting with applications. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 59(1).
  Eichelsbacher, Peter; Rednoß, Benedikt; Thäle, Christoph & Zheng, Guangqu
  
• Kolmogorov bounds for decomposable random variables and subgraph counting by the Stein–Tikhomirov method. Bernoulli, 29(3).
  Eichelsbacher, Peter & Rednoß, Benedikt
  
• Moderate deviations for functionals over infinitely many Rademacher random variables. Latin American Journal of Probability and Mathematical Statistics, 21(2), 1333.
  Butzek, Marius; Eichelsbacher, Peter & Rednoß, Benedikt