Boundary estimation based on set-indexed empirical processes

DOI10.1080/10485250310001622857zbMath1049.62031OpenAlexW2045818040MaRDI QIDQ4819563

Dietmar Ferger

Publication date: 27 September 2004

Published in: Journal of Nonparametric Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10485250310001622857

zbMATH Keywords

image reconstructionboundary estimationchange-setbounds on error probabilitiesweak and strong rates of convergence

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Order statistics; empirical distribution functions (62G30)

Related Items

Long-run variance estimation for spatial data under change-point alternatives, Change-point detection for long-range dependent sequences in a general setting, Central limit theorems for local empirical processes near boundaries of sets, Optimal rate of convergence for nonparametric change-point estimators for nonstationary sequences, Detection of change-points near the end points of long-range dependent sequences

Cites Work

• Nonparametric change-point estimation
• The asymptotic behavior of some nonparametric change-point estimators
• A set-indexed process in a two-region image
• Probability with Martingales
• Boundary Estimation
• Probability Inequalities for Sums of Bounded Random Variables
• Unnamed Item