Confidence intervals for multiple isotonic regression and other monotone models (Q2054474)

scientific article

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English	Confidence intervals for multiple isotonic regression and other monotone models	scientific article

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instance of

scholarly article

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title

Confidence intervals for multiple isotonic regression and other monotone models (English)

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author

Yanyan Li

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published in

The Annals of Statistics

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publication date

3 December 2021

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full work available at URL

https://arxiv.org/abs/2001.07064

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https://projecteuclid.org/journals/annals-of-statistics/volume-49/issue-4/Confidence-intervals-for-multiple-isotonic-regression-and-other-monotone-models/10.1214/20-AOS2025.full

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zbMATH Keywords

confidence interval

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Gaussian process

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limit distribution theory

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multiple isotonic regression

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shape constraints

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describes a project that uses

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Limit distribution theory for maximum likelihood estimation of a log-concave density

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Estimation of a \(k\)-monotone density: limit distribution theory and the spline connection

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Likelihood based inference for monotone response models

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Q3502464

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Confidence sets for split points in decision trees

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Likelihood ratio tests for monotone functions.

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Q5658961

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Sharp oracle inequalities for least squares estimators in shape restricted regression

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On risk bounds in isotonic and other shape restricted regression problems

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Adaptive risk bounds in unimodal regression

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Generalized Additive and Index Models with Shape Constraints

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Isotonic regression in multi-dimensional spaces and graphs

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Concave regression: value-constrained estimation and likelihood ratio-based inference

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Global rates of convergence of the MLEs of log-concave and \(s\)-concave densities

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Inference for the mode of a log-concave density

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Maximum likelihood estimation of a log-concave density and its distribution function: basic properties and uniform consistency

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Approximation by log-concave distributions, with applications to regression

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Multivariate extensions of isotonic regression and total variation denoising via entire monotonicity and Hardy-Krause variation

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Adaptation in multivariate log-concave density estimation

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On Integrated L<sup>1</sup> Convergence Rate of an Isotonic Regression Estimator for Multivariate Observations

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On univariate convex regression

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Isotonic estimation and rates of convergence in Wicksell's problem

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Nonparametric Estimation under Shape Constraints

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Nonparametric confidence intervals for monotone functions

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A canonical process for estimation of convex functions: the ``invelope'' of integrated Brownian motion \(+t^ 4\).

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Global risk bounds and adaptation in univariate convex regression

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Limit distribution theory for block estimators in multiple isotonic regression

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Nonparametric least squares estimation of a multivariate convex regression function

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High-dimensional nonparametric density estimation via symmetry and shape constraints

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Risk bounds in isotonic regression

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Identifiers

zbMATH Open document ID

1478.62104

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DOI

10.1214/20-AOS2025

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2054474