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Jeong Min Jeon (KU Leuven & Université de Namur)
December 16, 2021 @ 13:00 - 14:00
Title: Deconvolution estimation on hypersphere
This paper considers nonparametric estimation with contaminated data observed on the unit hypersphere $S^d$. For such data, we consider deconvolution density estimation and regression analysis. Our methodology and theory are based on harmonic analysis on $S^d$ which is not well considered in statistics. We establish novel deconvolution density and regression estimators, and study their asymptotic properties including the rates of convergence and asymptotic distributions. We also provide asymptotic confidence intervals. We present practical details on implementation as well as the results of simulation studies and real data analysis.
The seminar will be online at the following link