4 papers
Semiparametric Uncertainty Quantification via Isotonized Posterior for Deconvolutions
Francesco Gili, Geurt Jongbloed
We address the problem of uncertainty quantification for the deconvolution model \(Z = X + Y\), where \(X\) and \(Y\) are nonnegative random variables and the goal is to estimate t…
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…
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…