Simultaneous confidence bands for isotonic functions

DOI10.1016/j.jspi.2008.05.045zbMath1156.62038OpenAlexW1986590806MaRDI QIDQ1007462

Lyn R. Whitaker, Allan R. Sampson, Harshinder Singh

Publication date: 20 March 2009

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2008.05.045

zbMATH Keywords

bandwidthorder restricted inferenceisotonic regressionsimultaneous confidence bands

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Parametric inference under constraints (62F30) Nonparametric tolerance and confidence regions (62G15)

Related Items (2)

Bootstrap Confidence Intervals for Large-scale Multivariate Monotonic Regression Problems ⋮ New designs to consistently estimate the isotonic regression

Cites Work

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• A proof of the conjecture that the Tukey-Kramer multiple comparisons procedure is conservative
• The quadratic loss of isotonic regression under normality
• Order restricted estimators: Some bias results.
• A general projection framework for constrained smoothing.
• Confidence Bounds for Normal Means Under Order Restrictions, With Application to Dose-Response Curves, Toxicology Experiments, and Low-Dose Extrapolation
• On Estimation for Monotone Dose-Response Curves

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