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  Volume 10, Issue 2, Article 34
 
A Characterization of the Uniform Distribution on the Circle by Stam Inequality

    Authors: Paolo Gibilisco, Daniele Imparato, Tommaso Isola,  
    Keywords: Fisher information, Stam inequality.  
    Date Received: 08/11/2008  
    Date Accepted: 20/03/2009  
    Subject Codes:

62F11, 62B10

 
    Editors: Iosif Pinelis,  
 
    Abstract:

We prove a version of Stam inequality for random variables taking values on the circle $ mathbb{S}^1$. Furthermore we prove that equality occurs only for the uniform distribution.

         
       
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