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Volume 7, Issue 3, Article 79 |
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A Variance Analog of Majorization and Some Associated Inequalities
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Authors: |
Michael G. Neubauer, William Watkins, |
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Keywords:
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Inequality, Symmetric polynomial, Majorization, Schur convex, Variance. |
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Date Received:
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03/03/06 |
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Date Accepted:
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21/03/06 |
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Subject Codes: |
Pri: 26D05, 26D07; Sec: 15A42.
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Editors: |
Ingram Olkin, |
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Abstract: |
We introduce a partial order, variance majorization, on  , which is analogous to the majorization order. A new class of monotonicity inequalities, based on variance majorization and analogous to Schur convexity, is developed.
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