Asymptotics for Euclidean functionals of mixing processes

DOI10.1080/03610926.2017.1285925zbMath1384.60041OpenAlexW2584309362MaRDI QIDQ4605257

Elia Liitiäinen

Publication date: 21 February 2018

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2017.1285925

zbMATH Keywords

mixingrandom geometrysubadditivesuperadditiveEuclidean functional

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Strong limit theorems (60F15) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Cites Work

• Variance estimation for high-dimensional regression models
• Concentration inequalities and model selection. Ecole d'Eté de Probabilités de Saint-Flour XXXIII -- 2003.
• A class of Rényi information estimators for multidimensional densities
• Sample estimate of the entropy of a random vector
• Sums of functions of nearest neighbor distances, moment bounds, limit theorems and a goodness of fit test
• Probability theory of classical Euclidean optimization problems
• Explicit laws of large numbers for random nearest-neighbour-type graphs
• Asymptotic moments of near–neighbour distance distributions
• Limit Theorems in Discrete Stochastic Geometry
• Non-parametric estimation of residual moments and covariance

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