Distribution-free properties of isotonic regression

DOI10.1214/19-EJS1594zbMath1434.62057arXiv1812.04249OpenAlexW2975359603MaRDI QIDQ2326057

Jake A. Soloff, Adityanand Guntuboyina, Jim W. Pitman

Publication date: 4 October 2019

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

Full work available at URL: https://arxiv.org/abs/1812.04249

zbMATH Keywords

fluctuation theoryconvex minorantstatistical dimensionquantiles of stochastic processesshape-constrained regression

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Order statistics; empirical distribution functions (62G30)

Related Items (2)

Markovian structure in the concave majorant of Brownian motion ⋮ Adaptation in multivariate log-concave density estimation

Cites Work

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• Sharp MSE bounds for proximal denoising
• Convex minorants of random walks and Lévy processes
• Projections onto order simplexes
• Nonparametric shape-restricted regression
• Sharp oracle inequalities for least squares estimators in shape restricted regression
• On the quantiles of Brownian motion and their hitting times
• Estimation of a convex function: Characterizations and asymptotic theory.
• Marginal densities of the least concave majorant of Brownian motion.
• Risk bounds in isotonic regression
• On the risk of convex-constrained least squares estimators under misspecification
• The Circumference of a Convex Polygon
• Asymptotic behavior of the grenander estimator at density flat regions
• Living on the edge: phase transitions in convex programs with random data

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