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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.ST2024
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…