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Some Results On A Generalized Useful Information Measure  
 
  Authors: Abul Basar Khan, Bilal Ahmad Bhat, S. Pirzada,  
  Keywords: Entropy, Useful Information, Utilities, Power probabilities.  
  Date Received: 01/06/05  
  Date Accepted: 23/09/05  
  Subject Codes:

94A24, 94A15, 94A17, 26D15.

  
  Editors: Neil S. Barnett,  
 
  Abstract:

A parametric mean length is defined as the quantity

$displaystyle _{{alpha beta }}L_{u}=frac{alpha }{alpha -1}left[ 1-sum {P... ...right) ^{frac{1}{alpha } }D^{-n_{i}(frac{alpha -1}{alpha })}right] ,quad$    
where  $displaystyle alpha$    $displaystyle neq 1, sum p_{i}{ =1}$    

this being the useful mean length of code words weighted by utilities, $ u_{i} $. Lower and upper bounds for $ _{alpha beta }L_{u}$ are derived in terms of useful information for the incomplete power distribution, $ p^{beta }$.;


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