JIPAM

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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