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Volume 10, Issue 2, Article 34 |
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A Characterization of the Uniform Distribution on the Circle by Stam Inequality
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Authors: |
Paolo Gibilisco, Daniele Imparato, Tommaso Isola, |
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Keywords:
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Fisher information, Stam inequality. |
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Date Received:
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08/11/2008 |
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Date Accepted:
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20/03/2009 |
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Subject Codes: |
62F11, 62B10
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Editors: |
Iosif Pinelis, |
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Abstract: |
We prove a version of Stam inequality for random variables taking values on the circle . Furthermore we prove that equality occurs only for the uniform distribution.
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