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  Volume 8, Issue 3, Article 83
 
A Note on the Upper Bounds for the Dispersion

    Authors: Yu Miao, Guangyu Yang,  
    Keywords: Dispersion.  
    Date Received: 08/01/07  
    Date Accepted: 24/07/07  
    Subject Codes:

60E15, 26D15.

 
    Editors: Neil S. Barnett,  
 
    Abstract:

In this note we provide upper bounds for the standard deviation $ left( sigma (X)right) ,$ for the quantity $ sigma ^{2}(X)+(x-mathbb{E}(X))^{2}$ and for the $ L^{p}$ absolute deviation of a random variable. These improve and extend current results in the literature.

         
       
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