# GENERALIZED 'USEFUL' INFORMATION GENERATING FUNCTIONS

• Hooda, D.S. (K.U. Kurukshetra) ;
• Sharma, D.K. (Department of Mathematics, Jaypee Institute of Engineering and Technology)
• Published : 2009.05.31

#### Abstract

In the present paper, one new generalized 'useful' information generating function and two new relative 'useful' information generating functions have been defined with their particular and limiting cases. It is interesting to note that differentiations of these information generating functions at t=0 or t=1 give some known and unknown generalized measures of useful information and 'useful' relative information. The information generating functions facilitates to compute various measures and that has been illustrated by applying these information generating functions for Uniform, Geometric and Exponential probability distributions.

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