Generalized Useful Information Generating Function and Applications


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Authors

  • Rayees Ahmad Dar Department of Statistics, Government College for Women, M.A Road, Srinagar, Kashmir
  • Mahnaz Shafi Chishti Department of Mathematics, Government Degree College, Baramulla, Kashmir

Keywords:

Information generating functions, entropy, Useful information measure, Holders inequality, Probability density function, Derivative

Abstract

In this paper, new generalized 'useful' information generating function have been defined with their particular and limiting cases. On the differentiation of this generating function , it gives some well known results vailable in the literature of information theory. Some examples are worked out for discrete and continous distributions like Uniform, Geometric, Normal, Exponential and Pareto distribution.

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Published

27-08-2026

How to Cite

Rayees Ahmad Dar, & Mahnaz Shafi Chishti. (2026). Generalized Useful Information Generating Function and Applications. International Journal of Mathematics And Its Applications, 14(3), 45–54. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/1729

Issue

Vol. 14 No. 3 (2026)

Section

Research Article

License

Copyright (c) 2026 International Journal of Mathematics And its Applications

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