Risk bounds in isotonic regression
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Publication:1848948
DOI10.1214/aos/1021379864zbMath1012.62045OpenAlexW1964213467MaRDI QIDQ1848948
Publication date: 14 November 2002
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aos/1021379864
Nonparametric regression and quantile regression (62G08) Asymptotic properties of nonparametric inference (62G20) General nonlinear regression (62J02)
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Cites Work
- The Grenander estimator: A nonasymptotic approach
- Estimating a regression function
- The concave majorant of Brownian motion
- Estimating a density under order restrictions: Nonasymptotic minimax risk
- Estimation of the mean of a multivariate normal distribution
- Rates of convergence for minimum contrast estimators
- On the degrees of freedom in shape-restricted regression.
- Hellinger-consistency of certain nonparametric maximum likelihood estimators
- A generalized Radon-Nikodym derivative
- An Empirical Distribution Function for Sampling with Incomplete Information
- Some One-Sided Theorems on the Tail Distribution of Sample Sums with Applications to the Last Time and Largest Excess of Boundary Crossings
- Paley-type inequalities and convergence rates related to the law of large numbers and extended renewal theory
- Moment Inequalities for the Maximum Cumulative Sum
- The L2risk of an isotonic estimate
- On Estimating Monotone Parameters
- Sums of independent Banach space valued random variables
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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