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Abstract Details
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Activity Number:
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652
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Type:
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Contributed
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Date/Time:
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Thursday, August 2, 2012 : 10:30 AM to 12:20 PM
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Sponsor:
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Section on Nonparametric Statistics
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| Abstract - #306692 |
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Title:
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Index Measures of Separation and Similarity Among K Distributions
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Author(s):
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Rajarshi Dey*+ and Paul Nelson
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Companies:
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Central Michigan University and Kansas State University
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Address:
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14 Kensington Circle, Mount Pleasant, MI, 48858, United States
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Keywords:
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Precedence Probabilities ;
Rank-based ;
Index measure ;
Measuring Separition/similarity among Groups ;
Exploratory study
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Abstract:
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Let {X_{i};i=1,2,...,K} represent K continuous random variables and let T be the set of all possible permutations of the first K integers. Then P(X_{i1}< X_{i2}< ...< X_{ik}) is a precedence probability if {i1,i2,...,ik} belongs to T. We define two index measures for separation or similarity among these K distributions based on the precedence probabilities. The properties and usage of these index measures will be discussed.
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