Some developments in the theory of shape constrained inference
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Publication:1730897
DOI10.1214/18-STS657zbMath1407.62108WikidataQ128869705 ScholiaQ128869705MaRDI QIDQ1730897
Piet Groeneboom, Geurt Jongbloed
Publication date: 6 March 2019
Published in: Statistical Science (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.ss/1543482054
bootstrapmonotonicityinverse probleminterval censoringGrenander estimatorisotonic regressionAiry functionssingle index modelChernoff's distributioncurrent status regression
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Cites Work
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- The nonparametric bootstrap for the current status model
- Nonparametric (smoothed) likelihood and integral equations
- Vertices of the least concave majorant of Brownian motion with parabolic drift
- The tail of the maximum of Brownian motion minus a parabola
- The convex minorant of a Lévy process
- Adaptivity and optimality of the monotone least-squares estimator
- Chernoff's distribution and differential equations of parabolic and Airy type
- Global rates of convergence in log-concave density estimation
- The distribution of the maximal difference between a Brownian bridge and its concave majorant
- The maximum of Brownian motion with parabolic drift
- The maximum of Brownian motion minus a parabola
- The greatest convex minorant of Brownian motion, meander, and bridge
- Moments of the location of the maximum of Brownian motion with parabolic drift
- On differentiable functionals
- Maximum smoothed likelihood estimation and smoothed maximum likelihood estimation in the current status model
- Nonparametric confidence intervals for monotone functions
- Current status data with competing risks: consistency and rates of convergence of the MLE
- Current status data with competing risks: Limiting distribution of the MLE
- Inconsistency of bootstrap: the Grenander estimator
- Limit distribution theory for maximum likelihood estimation of a log-concave density
- Asymptotic normality of statistics based on the convex minorants of empirical distribution functions
- The concave majorant of Brownian motion
- A vertex-exchange-method in D-optimal design theory
- Nonparametric estimation in the presence of length bias
- Sunset over Brownistan
- Asymptotic normality of the \(L_1\) error of the Grenander estimator
- Computing confidence intervals for log-concave densities
- Model based bootstrap methods for interval censored data
- Linear regression with interval censored data
- Multiscale maximum likelihood analysis of a semiparametric model, with applications.
- A canonical process for estimation of convex functions: the ``invelope of integrated Brownian motion \(+t^ 4\).
- Estimation of a convex function: Characterizations and asymptotic theory.
- Likelihood ratio tests for monotone functions.
- Marginal densities of the least concave majorant of Brownian motion.
- Interval censoring: A nonasymptotic point of view.
- Current status regression.
- Weak convergence and empirical processes. With applications to statistics
- Theoretical properties of the log-concave maximum likelihood estimator of a multidimensional density
- Estimators for the interval censoring problem
- Marshall lemma in discrete convex estimation
- Current status linear regression
- Estimation of the mode
- Sieved Maximum Likelihood Estimation in Wicksell's Problem and Related Deconvolution Problems
- The Current Duration Approach to Estimating Time to Pregnancy
- Nonparametric Estimation under Shape Constraints
- An Empirical Distribution Function for Sampling with Incomplete Information
- The maximum of a random walk whose mean path has a maximum
- Beyond Parametrics in Interdisciplinary Research: Festschrift in Honor of Professor Pranab K. Sen
- Multiplicative censoring, renewal processes, deconvolution and decreasing density: Nonparametric estimation
- Asymptotically minimax estimation of concave and convex distribution functions
- A Hybrid Algorithm for Computation of the Nonparametric Maximum Likelihood Estimator From Censored Data
- Confidence Intervals for the Current Status Model
- An Efficient Semiparametric Estimator for Binary Response Models
- Marshall’s lemma for convex density estimation
- On the Location of the Maximum of a Continuous Stochastic Process
- Estimating functionals of particle size distributions
- Asymptotics of the Discrete Log-Concave Maximum Likelihood Estimator and Related Applications
