A Comparative Analysis of Entropy Measures for Exponentiated Exponential and Truncated Exponentiated Exponential Distributions

Authors

  • Javid Dar Department of Applied Sciences, Symbiosis Institute of Technology, Symbiosis International(Deemed University) (SIU), Lavale, Pune, Maharashtra, India
  • Irsa Sajjad Department of Mathematics and Statistics, Central South University Changsha, Hunan, China
  • Shahid Tamboli Mechanical Engineering Department, Symbiosis Institute of Technology, Symbiosis International (Deemed University) (SIU), Lavale, Pune, Maharashtra, India

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.5796

Keywords:

Probability distribution function, Exponentiated Exponential Distribution, Truncated Exponenetiated Exponential Distribution, Entropy measures

Abstract

Our research explores several entropy measurements for both EE (Exponentiated Exponential) and TEE (Truncated Exponentiated Exponential) lifetime models that scientists commonly use in their reliability projects. Our research develops various measures of entropy such as Shannon and Rényi to precisely measure uncertainty and unpredictability within these statistical distributions. The research analyzes entropy behavior across changing distribution parameters and contrasts EE with TEE results. The results show what exactly connects distribution parameters to their entropy measurements and shows why each distribution is special. This study enhances statistical and information theoretical methods for general use by showing all known uncertainty characteristics of EE and TEE distributions.

Author Biographies

  • Javid Dar, Department of Applied Sciences, Symbiosis Institute of Technology, Symbiosis International(Deemed University) (SIU), Lavale, Pune, Maharashtra, India

    Department of Applied Sciences, Symbiosis Institute of Technology, Symbiosis
    International(Deemed University) (SIU), Lavale, Pune, Maharashtra, India

  • Irsa Sajjad, Department of Mathematics and Statistics, Central South University Changsha, Hunan, China

    Department of Mathematics and Statistics, Central South University Changsha, Hunan, China

  • Shahid Tamboli, Mechanical Engineering Department, Symbiosis Institute of Technology, Symbiosis International (Deemed University) (SIU), Lavale, Pune, Maharashtra, India

    Mechanical Engineering Department, Symbiosis Institute of Technology, Symbiosis International (Deemed University) (SIU), Lavale, Pune, Maharashtra, India

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Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Mathematical Statistics

License

Copyright (c) 2025 Javid Dar, Irsa Sajjad, Shahid Tamboli

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How to Cite

A Comparative Analysis of Entropy Measures for Exponentiated Exponential and Truncated Exponentiated Exponential Distributions. (2025). European Journal of Pure and Applied Mathematics, 18(2), 5796. https://doi.org/10.29020/nybg.ejpam.v18i2.5796