53 citations · 126 across the 33 of their papers we have counts for
21 papers · 1 filter
Nonparametric Estimation in Uniform Deconvolution and Interval Censoring
Piet Groeneboom, Geurt Jongbloed
In the uniform deconvolution problem one is interested in estimating the distribution function of a nonnegative random variable, based on a sample with additive uniform noise…
Semiparametric Bernstein-von Mises Phenomenon via Isotonized Posterior in Wicksell's problem
Francesco Gili, Geurt Jongbloed, Aad van der Vaart
In this paper, we propose a novel Bayesian approach for nonparametric estimation in Wicksell's problem. This has important applications in astronomy for estimating the distribution…
Nonparametric inference for Poisson-Laguerre tessellations
Thomas van der Jagt, Geurt Jongbloed, Martina Vittorietti
In this paper, we consider statistical inference for Poisson-Laguerre tessellations in . The object of interest is a distribution function which uniquely determin…
Asymptotically efficient estimation under local constraint in Wicksell's problem
Francesco Gili, Geurt Jongbloed, Aad van der Vaart
We consider nonparametric estimation of the distribution function of squared sphere radii in the classical Wicksell problem. Under smoothness conditions on in a neighborhoo…
Adaptive and Efficient Isotonic Estimation in Wicksell's Problem
Francesco Gili, Geurt Jongbloed, Aad van der Vaart
We consider nonparametric estimation in Wicksell's problem which has relevant applications in astronomy for estimating the distribution of the positions of the stars in a galaxy gi…
Credible intervals and bootstrap confidence intervals in monotone regression
Piet Groeneboom, Geurt Jongbloed
In the recent paper [5], a Bayesian approach for constructing confidence intervals in monotone regression problems is proposed, based on credible intervals. We view this method fro…
Confidence intervals in monotone regression
Piet Groeneboom, Geurt Jongbloed
We construct bootstrap confidence intervals for a monotone regression function. It has been shown that the ordinary nonparametric bootstrap, based on the nonparametric least square…
Bayesian nonparametric estimation in the current status continuous mark model
Geurt Jongbloed, Frank van der Meulen, Lixue Pang
In this paper we consider the current status continuous mark model where, if the event takes place before an inspection time a "continuous mark" variable is observed as well. A…
Nonparametric Bayesian estimation of a concave distribution function with mixed interval censored data
Geurt Jongbloed, Frank van der Meulen, Lixue Pang
Assume we observe a finite number of inspection times together with information on whether a specific event has occurred before each of these times. Suppose replicated measurements…
Bayesian estimation of a decreasing density
Geurt Jongbloed, Frank van der Meulen, Lixue Pang
Suppose is a random sample from a bounded and decreasing density on . We are interested in estimating such , with special interest in $f_0(0…
Nonparametric confidence intervals for monotone functions
Piet Groeneboom, Geurt Jongbloed
We study nonparametric isotonic confidence intervals for monotone functions. In Banerjee and Wellner (2001) pointwise confidence intervals, based on likelihood ratio tests for the…
On the identifiability of copulas in bivariate competing risks models
Maik Schwarz, Geurt Jongbloed, Ingrid Van Keilegom
In competing risks models, the joint distribution of the event times is not identifiable even when the margins are fully known, which has been referred to as the "identifiability c…
A maximum smoothed likelihood estimator in the current status continuous mark model
Piet Groeneboom, Geurt Jongbloed, Birgit Witte
We consider the problem of estimating the joint distribution function of the event time and a continuous mark variable based on censored data. More specifically, the event time is…
Smooth and non-smooth estimates of a monotone hazard
Piet Groeneboom, Geurt Jongbloed
We discuss a number of estimates of the hazard under the assumption that the hazard is monotone on an interval [0,a]. The usual isotonic least squares estimators of the hazard are…
Smooth plug-in inverse estimators in the current status continuous mark model
Piet Groeneboom, Geurt Jongbloed, Birgit Witte
We consider the problem of estimating the joint distribution function of the event time and a continuous mark variable when the event time is subject to interval censoring case 1 a…
Isotonic L_2-projection test for local monotonicity of a hazard
Piet Groeneboom, Geurt Jongbloed
We introduce a new test statistic for testing the null hypothesis that the sampling distribution has an increasing hazard rate on a specified interval [0,a]. It is based on a compa…
Testing monotonicity of a hazard: asymptotic distribution theory
Piet Groeneboom, Geurt Jongbloed
Two new test statistics are introduced to test the null hypotheses that the sampling distribution has an increasing hazard rate on a specified interval [0,a]. These statistics are…
Maximum smoothed likelihood estimation and smoothed maximum likelihood estimation in the current status model
Piet Groeneboom, Geurt Jongbloed, Birgit I. Witte
We consider the problem of estimating the distribution function, the density and the hazard rate of the (unobservable) event time in the current status model. A well studied and na…
Estimating a concave distribution function from data corrupted with additive noise
Geurt Jongbloed, Frank H. van der Meulen
We consider two nonparametric procedures for estimating a concave distribution function based on data corrupted with additive noise generated by a bounded decreasing density on $(0…
Asymptotics: Particles, Processes and Inverse Problems. Festschrift for Piet Groeneboom
Eric A. Cator, Geurt Jongbloed, Cor Kraaikamp +2
In September 2006, Piet Groeneboom officially retired as professor of statistics at Delft University of Technology and the Vrije Universiteit in Amsterdam. He did so by delivering…
The suppport reduction algorithm for computing nonparametric function estimates in mixture models
Piet Groeneboom, Geurt Jongbloed, Jon A. Wellner
Vertex direction algorithms have been around for a few decades in the experimental design and mixture models literature. We briefly review this type of algorithm and describe a new…