Smoothed Extreme Value Estimators of Non-Uniform Point Processes Boundaries with Application to Star-Shaped Supports Estimation

DOI10.1080/03610920701693884zbMath1135.62038arXiv1103.6112OpenAlexW2116093864MaRDI QIDQ3499075

Ludovic Menneteau, Stéphane Girard

Publication date: 19 May 2008

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

Full work available at URL: https://arxiv.org/abs/1103.6112

zbMATH Keywords

extreme valuespoint processshape estimationfunctional estimators

Mathematics Subject Classification ID

Inference from spatial processes (62M30) Density estimation (62G07) Nonparametric estimation (62G05) Non-Markovian processes: estimation (62M09) Statistics of extreme values; tail inference (62G32)

Related Items (2)

Recovering the shape of a point cloud in the plane ⋮ Multidimensional limit theorems for smoothed extreme value estimates of point processes boundaries

Cites Work

• Unnamed Item
• Unnamed Item
• Minimax theory of image reconstruction
• Intermediate efficiency, theory and examples
• On moderate deviation theory in estimation
• On polynomial estimators of frontiers and boundaries
• Optimal global rates of convergence for nonparametric regression
• Central limit theorems for smoothed extreme value estimates of Poisson point processes bound\-aries
• Detection of Abnormal Behavior Via Nonparametric Estimation of the Support
• On the estimation of a star-shaped set
• [https://portal.mardi4nfdi.de/wiki/Publication:5728818 �ber die konvexe H�lle von n zuf�llig gew�hlten Punkten]

This page was built for publication: Smoothed Extreme Value Estimators of Non-Uniform Point Processes Boundaries with Application to Star-Shaped Supports Estimation