Adaptive estimation in symmetric location model under log-concavity constraint

DOI10.1214/21-EJS1852zbMath1472.62069arXiv2105.04287OpenAlexW3170811173MaRDI QIDQ2044404

Nilanjana Laha

Publication date: 9 August 2021

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

Full work available at URL: https://arxiv.org/abs/2105.04287

zbMATH Keywords

shape constraintlog-concavesymmetric location modelone step estimator

Mathematics Subject Classification ID

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

Related Items (1)

Improved inference for vaccine-induced immune responses via shape-constrained methods

Uses Software

• simest

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global rates of convergence of the MLEs of log-concave and \(s\)-concave densities
• Bi-log-concave distribution functions
• Approximation by log-concave distributions, with applications to regression
• Maximum likelihood estimation of a log-concave density and its distribution function: basic properties and uniform consistency
• On the estimation of a probability density function by the maximum penalized likelihood method
• Adaptive maximum likelihood estimators of a location parameter
• An asymptotically efficient sequence of estimators of a location parameter
• Estimation of unimodal densities without smoothness assumptions
• Efficient estimation in the two-sample semiparametric location-scale models
• Asymptotically efficient adaptive rank estimates in location models
• Weak convergence and empirical processes. With applications to statistics
• Extremal properties of half-spaces for log-concave distributions
• Theoretical properties of the log-concave maximum likelihood estimator of a multidimensional density
• On efficiency of the plug-in principle for estimating smooth integrated functionals of a nonincreasing density
• High-dimensional nonparametric density estimation via symmetry and shape constraints
• Univariate log-concave density estimation with symmetry or modal constraints
• Log-concave probability and its applications
• On Interchanging Limits and Integrals
• Adaptive Robust Procedures: A Partial Review and Some Suggestions for Future Applications and Theory
• Asymptotic Statistics
• Probability for Statisticians
• On Profile Likelihood
• One-dimensional empirical measures, order statistics, and Kantorovich transport distances
• Empirical processes indexed by estimated functions
• Robust Estimation of a Location Parameter
• Convex Analysis
• Efficiency-Robust Estimation of Location
• Optimal Transport

This page was built for publication: Adaptive estimation in symmetric location model under log-concavity constraint