Consistency in generalized isotonic regression

DOI10.1214/aos/1176343061zbMath0305.62044OpenAlexW1975608987MaRDI QIDQ1217433

Tim Robertson, F. T. Wright

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1214/aos/1176343061

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Nonparametric estimation (62G05) Central limit and other weak theorems (60F05) Strong limit theorems (60F15)

Related Items (13)

Isotonic regression with unknown permutations: statistics, computation and adaptation ⋮ Nonparametric adaptive Bayesian regression using priors with tractable normalizing constants and under qualitative assumptions ⋮ The structure of isotonic regression class for LAD problems with quasi- order constraints ⋮ Estimating piecewise monotone signals ⋮ The limiting behavior of isotonic and convex regression estimators when the model is misspecified ⋮ Local consistency of the iterative least-squares estimator for the semiparametric binary choice model ⋮ Nonparametric shape-restricted regression ⋮ A Bayesian Approach to Non-Parametric Monotone Function Estimation ⋮ The asymptotic behavior of monotone percentile regression estimates ⋮ Analyzing an extension of the isotonic regression problem ⋮ Strong consistency of multiple isotonic median estimation ⋮ A note on estimating a partly linear model under monotonicity constraints ⋮ Stochastic non-convex envelopment of data: applying isotonic regression to frontier estimation

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