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Activity Number: 338
Type: Contributed
Date/Time: Tuesday, July 31, 2007 : 2:00 PM to 3:50 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #309429
Title: Observed Confidence Levels for Modes of Smooth Densities
Author(s): Alan Polansky*+
Companies: Northern Illinois University
Address: Division of Statistics, De Kalb, IL, 60113,
Keywords: bootstrap ; kernel ; functional ; smoothing
Abstract:

The determination of the number of modes of an unknown smooth density is considered through the use of observed confidence levels. Observed confidence levels assign a level of confidence to hypotheses about the number of modes. Due to theoretical limitations, confidence levels can be assigned to only certain hypotheses about the number of modes. Methodology for computing the confidence levels is presented and is studied empirically.

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Revised September, 2007