Mathai-Haubold Interval Entropy and Related Inequalities

Authors

  • Javid Dar Department of Applied Sciences, Symbiosis Institute of Technology, Symbiosis International (Deemed University), Pune 412115, India
  • Sara Mohamed Ahmed Alsheikh Department of Statistics, Faculty of Science, University of Tabuk, Tabuk Saudi Arabia
  • Prakash Jadhav Department of Mechanical engineering, SRM University AP , Andhra Pradesh, 522240, India

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i4.6480

Keywords:

Entropy, residual entropy, Interval entropy, Generalized failure rate, Characterization

Abstract

The paper introduces a generalized interval entropy measure that provides a comprehensive framework for understanding and quantifying the uncertainty in systems with doubly truncated random variables. By characterizing well-known lifetime distributions (exponential, Pareto, and finite range distributions), deriving a lower bound for the entropy, and exploring stochastic comparisons, the paper demonstrates the usefulness of this measure in reliability modelling, survival analysis and information theory.

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Published

2025-11-05

Issue

Vol. 18 No. 4: (October 2025)

Section

Mathematical Statistics

License

Copyright (c) 2025 Javid Dar, Sara Mohamed Ahmed Alsheikh, Prakash Jadhav

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How to Cite

Mathai-Haubold Interval Entropy and Related Inequalities. (2025). European Journal of Pure and Applied Mathematics, 18(4), 6480. https://doi.org/10.29020/nybg.ejpam.v18i4.6480