Martin Raič — raziskovalno delo

Področje raziskovalnega dela:

Teorija verjetnosti: centralni limitni izrek in veliki odkloni, Steinova metoda; stohastična geometrija.

Publikacije:

Objavljeni članki:

• A multivariate Berry–Esseen theorem with explicit constants. Bernoulli 25, št. 4A (2019), 2824–2853. PDF
• Moderate deviations for stabilizing functionals in geometric probability (soavtorja: Peter Eichelsbacher in Tomasz Schreiber). Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 51 (2015), št. 1, 89–128. PDF
• Concentration of measure for the number of isolated vertices in the Erdős-Rényi random graph by size bias couplings (soavtorja: Subhankar Ghosh in Larry Goldstein). Statistics and Probability Letters 81, št. 11 (2011), 1565–1570.
• CLT-related large deviation bounds based on Stein's method. Advances in Applied Probability 39 (2007), št. 3, str. 731–752. PDF
• A multivariate CLT for decomposable random vectors with finite second moments. Journal of Theoretical Probability 17 (2004), št. 3, str. 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.
  Referat na Simpoziju v spomin na Charlesa Steina (1920–2016), Singapur, junij 2019. PDF
• Normalna aproksimacija po Steinovi metodi. Doktorska disertacija. Ljubljana, 2006. PDF
• Chen–Steinova metoda. Magistrsko delo. Ljubljana, 1998. PDF
• Lefschetzovo število in točke ujemanja para preslikav. Diplomsko delo. Ljubljana, 1995. PDF