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  Volume 10, Issue 3, Article 84
 
A Generalized Residual Information Measure and its Properties

    Authors: M. A. K. Baig, Javid Gani Dar,  
    Keywords: Shannon entropy, Renyi entropy, Residual entropy, Generalized residual entropy, Life time distributions.  
    Date Received: 15/04/2008  
    Date Accepted: 26/06/2009  
    Subject Codes:

60E15, 62N05, 90B25, 94A17, 94A24.

 
    Editors: Neil S. Barnett,  
 
    Abstract:

Ebrahim and Pellery [7] and Ebrahim [4] proposed the Shannon residual entropy function as a dynamic measure of uncertainty. In this paper we introduce and study a generalized information measure for residual lifetime distributions. It is shown that the proposed measure uniquely determines the distribution function. Also, characterization results for some lifetime distributions are discussed. Some discrete distribution results are also addressed.

         
       
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