Extreme values and kernel estimates of point processes boundaries

DOI10.1051/ps:2004008zbMath1154.60330arXiv1103.5931OpenAlexW2136341770MaRDI QIDQ4671813

No author found.

Publication date: 26 April 2005

Published in: ESAIM: Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.5931

zbMATH Keywords

extreme valuesPoisson processKernel estimatesshape estimation

Mathematics Subject Classification ID

Inference from spatial processes (62M30) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Extreme value theory; extremal stochastic processes (60G70)

Related Items (13)

Nonparametric frontier estimation via local linear regression ⋮ A smooth nonparametric conditional quantile frontier estimator ⋮ Asymptotic normality of theL₁-error of a boundary estimator ⋮ \(L_1\)-optimal nonparametric frontier estimation via linear programming ⋮ Frontier estimation with kernel regression on high order moments ⋮ \(L_{1}\)-optimal linear programming estimator for periodic frontier functions with Hölder continuous derivative ⋮ Kernel estimation of extreme regression risk measures ⋮ A note on extreme values and kernel estimators of sample boundaries ⋮ Frontier estimation via kernel regression on high power-transformed data ⋮ Kernel estimators of extreme level curves ⋮ Multidimensional limit theorems for smoothed extreme value estimates of point processes boundaries ⋮ Frontier estimation with local polynomials and high power-transformed data ⋮ Central limit theorems for smoothed extreme value estimates of Poisson point processes bound\-aries

Cites Work

• Minimax theory of image reconstruction
• On polynomial estimators of frontiers and boundaries
• Projection estimates of point processes boundaries
• On the asymptotic normality of the \(L_1\)-error for Haar series estimates of Poisson point processes boundaries.
• Limiting distributions of linear programming estimators
• Efficient estimation of monotone boundaries
• Asymptotical minimax recovery of sets with smooth boundaries
• Estimating the edge of a Poisson process by orthogonal series
• Estimation of non-sharp support boundaries
• A course on point processes
• Extreme Values and Haar Series Estimates of Point Process Boundaries
• [https://portal.mardi4nfdi.de/wiki/Publication:5728818 �ber die konvexe H�lle von n zuf�llig gew�hlten Punkten]
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Extreme values and kernel estimates of point processes boundaries