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Abstract Details
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Activity Number:
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399
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Type:
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Contributed
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Date/Time:
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Tuesday, July 31, 2012 : 2:00 PM to 3:50 PM
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Sponsor:
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Section on Nonparametric Statistics
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| Abstract - #305525 |
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Title:
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On Asymptotics of Depth-Based Generalized Multivariate Quantile Processes
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Author(s):
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Jin Wang*+
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Companies:
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Northern Arizona University
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Address:
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Department of Mathematics and Statistics, Flagstaff, AZ, 86011-5717, United States
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Keywords:
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asymptotics ;
multivariate quantile processes ;
depth fuctions ;
nonparametric multivariate analysis
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Abstract:
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Like univariate quantile processes in nonparametric univariate analysis, multivariate quantile processes play a central role in nonparametric multivariate statistical analysis. Many nonparametric multivariate measures have been proposed based on multivariate quantile processes. However, to use multivariate quantile processes to make inferences, their asymptotic results are needed. Here we study the asymptotic behavior of sample depth-based generalized multivariate quantile processes. Strong and weak convergence results for the generalized multivariate quantile processes are established. Some applications of the results are also given.
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The address information is for the authors that have a + after their name.
Authors who are presenting talks have a * after their name.
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