Martin Raič — Research

Field of interest:

Probability theory: central limit theorem and large deviations, Stein's method; stochastic geometry.

Publications:

Published papers:

• A multivariate Berry–Esseen theorem with explicit constants. Bernoulli 25, No. 4A (2019), 2824–2853. PDF
• Moderate deviations for stabilizing functionals in geometric probability (with Peter Eichelsbacher in Tomasz Schreiber). Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 51 (2015), No. 1, 89–128. PDF
• Concentration of measure for the number of isolated vertices in the Erdős-Rényi random graph by size bias couplings (with Subhankar Ghosh and Larry Goldstein). Statistics and Probability Letters 81, No. 11 (2011), 1565–1570.
• CLT-related large deviation bounds based on Stein's method. Advances in Applied Probability 39 (2007), No. 3, str. 731–752. PDF
• A multivariate CLT for decomposable random vectors with finite second moments. Journal of Theoretical Probability 17 (2004), No. 3, pp. 573–603.
• Normal approximation by Stein's method. Proceedings of the Seventh Young Statisticians Meeting. Metodološki zvezki 21, FDV, Ljubljana, 2003.

Preprint:

• A multivariate central limit theorem for Lipschitz and smooth test functions. ArXiv

• On Götze's multivariate central limit therem: doubts, clarification and improvements.
  Talk at the Symposium in Memory of Charles Stein (1920–2016), Singapore, June 2019. PDF
• Normal Approximation by Stein's Method. PhD Thesis. Ljubljana, 2006 (in Slovenian). PDF
• The Chen–Stein method. MSc Thesis. Ljubljana, 1998 (in Slovenian). PDF
• Lefschetz Number and Coincidence Points of Two Maps. BSc Thesis. Ljubljana, 1995 (in Slovenian). PDF