4 papers · 1 filter
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 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…
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…