Abstract #300396

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JSM 2002 Abstract #300396
Activity Number: 130
Type: Invited
Date/Time: Monday, August 12, 2002 : 2:00 PM to 3:50 PM
Sponsor: Section on Nonparametric Statistics*
Abstract - #300396
Title: Smoothings, Ridges and Bumps
Author(s): Edward Wegman*+
Affiliation(s): George Mason University
Address: , Fairfax, Virginia, 22030-4444, USA
Keywords:
Abstract:

Historically, several authors have used the mode of a nonparametric density estimator as an estimate of the true underlying mode of a density. The ridge on the density surface is a one-dimensional analog to the mode. In fact, we define k-ridges as k-dimensional maximal features on a multivariate density surface. These k-ridges are estimators of maximal manifolds of the underlying density. We give some algorithms for computing ridges and their supports and show some visualizations of the ridges.

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Revised March 2002