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math.ST2025
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…
math.ST2025
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…
math.ST2025
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…