Asymptotic confidence regions for density ridges

Ridge regression; shrinkage estimators (Lasso) (62J07) Nonparametric tolerance and confidence regions (62G15) Extreme value theory; extremal stochastic processes (60G70) Statistics of extreme values; tail inference (62G32)

Related Items (1)

Extremes of locally stationary Gaussian and chi fields on manifolds

Uses Software

GAUSSIAN

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Theoretical analysis of nonparametric filament estimation
Confidence regions for level sets
Nonparametric ridge estimation
Gaussian approximation of suprema of empirical processes
On the convergence rate of maximal deviation distribution for kernel regression estimates
Asymptotic theory for density ridges
Feature significance for multivariate kernel density estimation
On the path density of a gradient field
Effect of bias estimation on coverage accuracy of bootstrap confidence intervals for a probability density
On the maximal deviation of k-dimensional density estimates
High excursions for nonstationary generalized chi-square processes
Ridges in image and data analysis
On nonparametric estimation of density level sets
Extrema of rescaled locally stationary Gaussian fields on manifolds
The second-order derivatives of matrices of eigenvalues and eigenvectors with an application to generalized \(F\)-statistic
Gnedenko-type limit theorems for cyclostationary \(c^2\)-processes
Measuring mass concentrations and estimating density contour clusters -- An excess mass approach
Extremes of locally stationary Gaussian and chi fields on manifolds
Posterior contraction and credible sets for filaments of regression functions
Nonparametric estimation of surface integrals on level sets
On some global measures of the deviations of density function estimates
Asymptotic normality of plug-in level set estimates
Nonparametric confidence regions for level sets: statistical properties and geometry
Estimating the reach of a manifold
Estimation of regression contour clusters -- an application of the excess mass approach to regression
Kernel estimation of density level sets
Adaptive multiscale detection of filamentary structures in a background of uniform random points
Introduction to Smooth Manifolds
Curvature Measures
Bootstrap Inference in Partially Identified Models Defined by Moment Inequalities: Coverage of the Identified Set
Perturbation Bounds for Determinants and Characteristic Polynomials
Estimation of a Convex Density Contour in Two Dimensions
Bias-corrected Confidence Bands in Nonparametric Regression
The Geometry of Nonparametric Filament Estimation
Remarks on a Multivariate Transformation

This page was built for publication: Asymptotic confidence regions for density ridges