Activity Number:
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345
- Theory and Methods for Multivariate Analysis
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Type:
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Contributed
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Date/Time:
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Tuesday, July 31, 2018 : 10:30 AM to 12:20 PM
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Sponsor:
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IMS
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Abstract #327042
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Presentation
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Title:
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Distribution of Interpoint Distances for Discrete Multivariate Distributions
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Author(s):
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Yu Song* and Reza Modarres
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Companies:
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and The George Washington University
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Keywords:
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Interpoint Distance;
Multivariate Power Series;
Unied Multivariate Hypergeometric distributions
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Abstract:
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We obtain the distribution of the squared Euclidean interpoint distances (IPD) for observations taken from the Multivariate Power Series and Unfied Multivariate Hypergeometric distributions. We find the distribution of IPDs within one sample and across two independent samples. We explore these distances for specific distributions within the two families, and obtain their corresponding means, variances and covariances. We also find the distribution IPDs from mixture distributions of the above two families. An applications in goodness of fit testing is considered.
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Authors who are presenting talks have a * after their name.