Statistics Seminar: Fumiya Akashi

Thursday 23 May 2019, 3:00pm to 4:00pm

Venue

Fylde B35 - View Map

Open to

Postgraduates, Staff

Registration

Registration not required - just turn up

Event Details

Nonparametric L1 regression for spherical data with heavy-tailed dependent errors

This talk considers the nonlinear regression model whose predictor is a random vector on a hyper-sphere. This setting has various applications such as seismic wave analysis, analysis for orientation of wild fire, etc. It is well known that the classical method in “linear statistic” does not work for spherical random vectors. To construct a robust estimator for the nonlinear regression function, this talk employees L1-regression method and kernel-type objective function. The proposed local-linear estimator has asymptotic normality regardless of whether the innovation process has infinite variance or dependence structure. Some simulation experiments illustrate desired finite sample properties of the proposed method. (Joint work with Holger Dette (Ruhr-Universität Bochum))

Speaker

Fumiya Akashi Graduate School of Economics, University of Tokyo

Contact Details

Name Dr Alex Gibberd
Email

a.gibberd@lancaster.ac.uk

Telephone number

+44 1524 595068