2014 Joint Statistical Meetings - Statistics: Global Impact - Past, Present and Future

JSM 2014 Online Program

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Activity Number:	211
Type:	Invited
Date/Time:	Monday, August 4, 2014 : 2:00 PM to 3:50 PM
Sponsor:	International Chinese Statistical Association
Abstract #310517	View Presentation
Title:	On Convex Regression
Author(s):	Bodhisattva Sen*+
Companies:	Columbia University
Keywords:	adaptation ; consistency ; convex optimization ; global risk bounds ; nonparametric least squares estimator
Abstract:	In the talk I will investigate properties of the nonparametric least squares estimator (LSE) of a convex regression function when the predictor is multidimensional. We characterize the LSE and discuss the computation of the estimator. We study theoretical properties of the estimator: its consistency, global rate of convergence, and adaptation properties. I will also point to a few applications of convex regression.

Authors who are presenting talks have a * after their name.

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