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Activity Number: 474 - Nonparametric Density and Variance Estimation
Type: Contributed
Date/Time: Wednesday, August 2, 2017 : 8:30 AM to 10:20 AM
Sponsor: Section on Nonparametric Statistics
Abstract #323759
Title: Nonparametric Confidence Regions for Density Level Sets
Author(s): Wanli Qiao* and Wolfgang Polonik
Companies: George Mason University and University of California, Davis
Keywords: level sets ; confidence regions ; nonparametric statistics ; bootstrap

A level set of a density is a set where the density equals a given constant. It has many applications including clustering, classification, anomaly detection and topological data analysis. Level sets can be estimated nonparametrically using a plugin method. In this talk we present confidence regions for level sets based on asymptotic distribution and bootstrap methods. We then make comparisons with existing methods using simulations. This is joint work with Wolfgang Polonik, University of California, Davis.

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

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