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Claudio Durastanti


Post-Doctoral Research Fellow at Ruhr Universität, Bochum, for the Research Training Group 2131 - "High Dimensional Phenomena in Probability - Fluctuations and Discontinuities"
Address: Room NA 6/34, Universitätstraße 150, 44801 Bochum.
Phone-number: +49(0)234/32-23809
Skype: Claudio Durastanti

Forthcoming teaching: Nonparametric statistics
Abstract: The basic idea of nonparametric inference is to use data to infer an unknown quantity while making as few assumptions as possible. In many situations, indeed, no prior knowledge of the underlying distributions, which characterize the statistical model under investigation, is available. In such situations, standard parametric assumptions can produce misleading results. In this class, we present several statistical procedures which are robust, that is, insensitive to the model assumptions. In particular, we will focus on some results concerning a) hypothesis testing (level robustness and power robustness) and b) estimation (variance robustness), so that the methods described retain their properties in the neighborhood of the model assumptions.
Office hours: Tuesday and Thursday, 10:00 a.m.-11:00 a.m.

Research interests: Spherical Random Fields, Limit Theory for High Frequency, Spherical Directional Data, Nonparametric Regression Function Estimation, Nonparametric Density Estimation, Optimality and Minimax Rates of Convergence, Whittle Semiparametric Estimation, Spherical Wavelets, Spherical Needlets, Wavelets on the Ball, Covariance Estimation, Wavelet Thresholding, Tight and Nearly-Tight Frames, Poisson Spherical Random Fields, Stein-Malliavin Approximations, Non-Gaussianity parameters, Wavelet spatial Concentration Properties.
Current research activity: Bayesian thresholding methods on the sphere • curvelet concentration properties • graph wavelets and statistical applications • Non-linearity parameter estimation.
My coauthors: S. Bourguin, Y. T. Fantaye, D. Geller, F. K. Hansen, X. Lan, D. Marinucci, J. D. McEwen, G. Peccati, I. Z. Pesenson, Y. Wiaux.
List of Papers
• C. Durastanti (2016) - Tail behavior of Mexican Needlets - to appear on J. Math. Anal. Appl. - [Journal] [arXiv]
• C. Durastanti (2016) - Adaptive Global Thresholding on the Sphere - J. Multivariate Anal. 151, 110-132 - [Journal] [arXiv]
• S. Bourguin, C. Durastanti (2016) - On high-frequency limits of U-statistics in Besov spaces over compact manifolds - submitted - [arXiv]
• S. Bourguin, C. Durastanti (2016) - On normal approximations for the two-sample problem on multidimensional tori - submitted - [arXiv]
• J. McEwen, C. Durastanti, Y. Wiaux (2016) - Localisation of directional scale-discretised wavelets on the sphere - to appear on Appl. Comput. Harmon. Anal. - [arXiv]
• C. Durastanti (2016) - Quantitative central limit theorems for Mexican needlet coefficients on circular Poisson fields - to appear on Stat. Methods Appl. - [Journal] [arXiv]
• S. Bourguin, C. Durastanti, D. Marinucci, G. Peccati (2016) - U-statistics on the spherical Poisson space - on "Stochastic analysis for Poisson point processes: Malliavin calculus, Wiener-Itô chaos expansions and stochastic geometry, pp. 295-310 (Bocconi & Springer) [Book]
• C. Durastanti (2016) - Adaptive density estimation on the circle by nearly tight frames - to appear on "Novel methods in harmonic analysis with applications to numerical analysis and data processing" (Birkhauser/Springer) - [arXiv]
• S. Bourguin, C. Durastanti, D. Marinucci, G. Peccati (2016) - Gaussian approximations of nonlinear statistics on the sphere - J. Math. Anal. Appl. 436 (2), 1121-1148 - [Journal] [arXiv]
• C. Durastanti (2015) - Block Thresholding on the Sphere - Sankhya A, 77 (1), 153-185 - [Journal] [arXiv]
• C. Durastanti, Y. T. Fantaye, F. K. Hansen, D. Marinucci, I. Z. Pesenson (2014) - A Simple Proposal for Radial 3D Needlets - Phys. Rev. D 90, 103532 - [Journal] [arXiv]
• C. Durastanti, D. Marinucci, G. Peccati (2014) - Normal Approximations for Wavelet Coefficients on Spherical Poisson Fields - J. Math. Anal. Appl., 409 (1), 212-227 - [Journal] [arXiv]
• C. Durastanti, X. Lan, D. Marinucci, (2014) - Gaussian Semiparametric Estimates on the Unit Sphere - Bernoulli, 20, 28-77 - [Journal] [arXiv]
• C. Durastanti, X. Lan, D. Marinucci, (2013) - Needlet-Whittle Estimates on the Unit Sphere - Electron. J. Stat., 7, 597-646 - [arXiv] [arXiv]
• C. Durastanti, X. Lan (2013) - High-Frequency Tail Index Estimation by Nearly Tight Frames - on "Commutative and Noncommutative Harmonic Analysis and Applications", AMS Contemporary Mathematics Series, 603, 149 - [Book] [arXiv]
• C. Durastanti, D. Geller, D. Marinucci, (2012) - Adaptive Nonparametric Regression On Spin Fiber Bundles - J. Multivariate Anal., 104 (1), 16-38 - [Journal] [arXiv]

Personal: My webpageMy profile on Google scholarMy profile on Researchgate
Miscellanous: The webpage of the RTG 2131Astrostatistics and Astroinformatics Portal