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Semiparametric Uncertainty Quantification via Isotonized Posterior for Deconvolutions

We address the problem of uncertainty quantification for the deconvolution model Z = X + Y, where X and Y are nonnegative random …

Francesco Gili, Geurt Jongbloed

Semiparametric Bernstein-von Mises Phenomenon via Isotonized Posterior in Wicksell's problem

We propose a novel Bayesian approach for nonparametric estimation in Wicksell’s problem. We deviate from the classical Bayesian …

Francesco Gili, Aad van der Vaart, Geurt Jongbloed

Asymptotically efficient estimation under local constraint in Wicksell's problem

We consider nonparametric estimation of the distribution function F of squared sphere radii in the classical Wicksell problem. Under …

Francesco Gili, Aad van der Vaart, Geurt Jongbloed

Adaptive and Efficient Isotonic Estimation in Wicksell's Problem

We consider nonparametric estimation in Wicksell’s problem, which has applications in astronomy for estimating the distribution …

Francesco Gili, Aad van der Vaart, Geurt Jongbloed