Berry-Esseen bounds for Chernoff-type nonstandard asymptotics in isotonic regression
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Publication:2135277
DOI10.1214/21-AAP1716MaRDI QIDQ2135277
Publication date: 6 May 2022
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.09662
Linear inference, regression (62Jxx) Inequalities; stochastic orderings (60E15) Nonparametric estimation (62G05)
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- Empirical and multiplier bootstraps for suprema of empirical processes of increasing complexity, and related Gaussian couplings
- A law of the iterated logarithm for Grenander's estimator
- A general asymptotic scheme for inference under order restrictions
- Gaussian approximation of suprema of empirical processes
- Chernoff's distribution and differential equations of parabolic and Airy type
- Nonnormal approximation by Stein's method of exchangeable pairs with application to the Curie-Weiss model
- The maximum of Brownian motion with parabolic drift
- The maximum of Brownian motion minus a parabola
- A new approach to strong embeddings
- The limit distribution of the \(L_{\infty}\)-error of Grenander-type estimators
- Berry-Esseen theorems under weak dependence
- On the rate of convergence in the multivariate CLT
- A generalization of the Lindeberg principle
- Cube root asymptotics
- Multivariate normal approximation with Stein's method of exchangeable pairs under a general linearity condition
- Confidence sets for split points in decision trees
- A Berry-Esseen theorem for sample quantiles under weak dependence
- Dependence of the Berry-Esseen estimate on the dimension
- Exact convergence rates in some martingale central limit theorems
- Isotonic inverse estimators for nonparametric deconvolution
- Berry-Esseen bounds for statistics of weakly dependent samples
- On coupling constructions and rates in the CLT for dependent summands with applications to the antivoter model and weighted \(U\)-statistics
- Asymptotic normality of the \(L_1\) error of the Grenander estimator
- Editorial: Special issue on ``Nonparametric inference under shape constraints
- Berry-Esseen bounds of normal and nonnormal approximation for unbounded exchangeable pairs
- Estimating a monotone density from censored observations
- Two estimators of the mean of a counting process with panel count data.
- Analyzing bagging
- On the dependence of the Berry-Esseen bound on dimension
- Normal approximation under local dependence.
- About the Berry-Esseen theorem for weakly dependent sequences
- A multivariate CLT for local dependence with \(n^{-1/2}\log n\) rate and applications to multivariate graph related statistics
- Weak convergence and empirical processes. With applications to statistics
- A local maximal inequality under uniform entropy
- Limit distribution theory for block estimators in multiple isotonic regression
- New error bounds in multivariate normal approximations via exchangeable pairs with applications to Wishart matrices and fourth moment theorems
- Convergence of linear functionals of the Grenander estimator under misspecification
- Comparison and anti-concentration bounds for maxima of Gaussian random vectors
- Asymptotic normality of the \(L_k\)-error of the Grenander estimator
- Central limit theorems and bootstrap in high dimensions
- Efficient regularized isotonic regression with application to gene-gene interaction search
- Monotone spectral density estimation
- Gaussian approximations and multiplier bootstrap for maxima of sums of high-dimensional random vectors
- Chernoff's density is log-concave
- Concentration inequalities and asymptotic results for ratio type empirical processes
- The behavior of the NPMLE of a decreasing density near the boundaries of the support
- Estimation of the mode
- On the \(\mathbb L_p\)-error of monotonicity constrained estimators
- On Stein’s method for multivariate normal approximation
- Nonparametric Estimation under Shape Constraints
- Reversing the Berry-Esseen Inequality
- Least Median of Squares Regression
- Mathematical Foundations of Infinite-Dimensional Statistical Models
- Normal Approximation by Stein’s Method
- [https://portal.mardi4nfdi.de/wiki/Publication:3933699 The Berry-Esse�n theorem for strongly mixing Harris recurrent Markov chains]
- An approximation of partial sums of independent RV's, and the sample DF. II
- An approximation of partial sums of independent RV'-s, and the sample DF. I
- The joint density of the maximum and its location for a Wiener process with drift
- Semiparametric Estimation of Monotone and Concave Utility Functions for Polychotomous Choice Models
- The Reduced Monotonic Regression Method
- Multivariate normal approximations by Stein's method and size bias couplings
- On Integrated L1 Convergence Rate of an Isotonic Regression Estimator for Multivariate Observations
- Estimation for Distributions with Monotone Failure Rate
- New concentration inequalities in product spaces