This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.
Abstract Details
Activity Number:
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412
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Type:
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Contributed
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Date/Time:
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Tuesday, August 3, 2010 : 2:00 PM to 3:50 PM
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Sponsor:
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IMS
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Abstract - #308152 |
Title:
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Nonparametric Tolerance Region/Envelope and Applications
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Author(s):
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Wei Li*+ and Regina Liu and Minge Xie
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Companies:
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Rutgers University and Rutgers University and Rutgers University
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Address:
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Department of Statistics, Rutgers University, Piscataway, NJ, 08854,
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Keywords:
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data depth ;
tolerance region ;
tolerance envelope ;
multivariate spacing
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Abstract:
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Tolerance regions are needed in production quality control or event risk monitoring for assessing whether product or event performance meets a required quality or performance specification. Products or events outside the tolerance regions are considered unacceptable or not meeting the standard. Li and Liu (2008) proposed to construct multivariate tolerance regions using multivariate spacings which are derived from the order statistics induced by data depth. The construction of these tolerance regions is data-driven, nonparametric and without assuming the shape of tolerance regions. We extend this construction to the setting of functional or time series data, and introduce tolerance envelopes (or tubes). The tolerance envelopes will be applied to the analysis of aircraft landing performance data, and evaluated in simulations.
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