Applied Math Seminar – Duy Nguyen (Marist College)

346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United States

Title : Nonparametric density estimation by B-spline duality Abstract: In this talk, we propose a new nonparametric density estimator derived from the theory of frames and Riesz bases. In particular, we propose the so-called bi-orthogonal density estimator based on the class of B-splines and derive its theoretical properties, including the asymptotically optimal choice of bandwidth.