Monotone regression estimates for grouped observations

DOI10.1214/aos/1176345710zbMath0494.62031OpenAlexW2088026352MaRDI QIDQ1169217

F. T. Wright

Publication date: 1982

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176345710

zbMATH Keywords

interpolationrate of convergenceasymptotic normalitymaximum likelihood estimatorisotone regressiongrouped observationsnondecreasing regression functionsimulation study for small sample sizes

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Nonparametric estimation (62G05) Point estimation (62F10) General nonlinear regression (62J02)

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Some stochastics on monotone functions ⋮ Shrinkage estimation for convex polyhedral cones ⋮ Stacked grenander and rearrangement estimators of a discrete distribution ⋮ Isotonized smooth estimators of a monotone baseline hazard in the Cox model ⋮ A general projection framework for constrained smoothing. ⋮ Limit theory in monotone function estimation ⋮ Classical Laplace estimation for \(\root3\of n\)-consistent estimators: improved convergence rates and rate-adaptive inference ⋮ Error reduction in density estimation under shape restrictions ⋮ Recent progress in the nonparametric estimation of monotone curves -- with applications to bioassay and environmental risk assessment ⋮ Testing monotonicity of regression.

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