A Study on One-Parameter Entropy-Transformed Exponential Distribution and Its Application

Authors

  • Mathew Stephen Department of Mathematics, Statistics and Computer Science, Kwararafa University Wukari, Wukari Nigeria
  • David Ikwuoche John Department of Mathematics and Statistics, Federal University Wukari, 200, Katsina-Ala Road, Wukari, Wukari, Nigeria
  • Yaska Mutah Department of Mathematics and Statistics, The Federal Polytechnic Mubi, Adamawa State

DOI:

https://doi.org/10.13052/jrss0974-8024.1712

Keywords:

Entropy-transformed exponential distribution (EnTrED), memoryless property, hazard rate, survival analysis, reliability analysis, time-dependent hazard

Abstract

This study presents the Entropy-Transformed Exponential Distribution (EnTrED), in an attempt to enhancing the flexibility and applicability of the traditional exponential distribution. The study explores the statistical properties of the EnTrED, including mode, quantile function, reliability, moments, and hazard function. The parameters of the distribution were estimated using maximum likelihood estimation, and the stability of these estimates was thoroughly evaluated through extensive Monte Carlo simulation. The simulation results demonstrated that the maximum likelihood estimates of the model parameters were well-behaved. Additionally, Empirical assessments against alternative distributions underscores the robustness of the EnTrED as a superior model for analyzing life data.

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Author Biographies

Mathew Stephen, Department of Mathematics, Statistics and Computer Science, Kwararafa University Wukari, Wukari Nigeria

Mathew Stephen earned his Diploma and B.Sc. in Statistics from The Federal Polytechnic Mubi, Adamawa State, and Federal University Wukari, Taraba State, Nigeria, in 2014 and 2018, respectively. He later completed an MSc in Statistics at Federal University Wukari, Taraba State, Nigeria, and currently works as an Assistant Lecturer at Kwararafa University, Wukari, Taraba State, Nigeria.

David Ikwuoche John, Department of Mathematics and Statistics, Federal University Wukari, 200, Katsina-Ala Road, Wukari, Wukari, Nigeria

David Ikwuoche John obtained his B.Sc. and M.Sc. in 2009 and 2012 respectively, from the Department of Mathematics, Ahmadu Bello University, Zaria-Nigeria. In 2021 he obtained his Ph.D in Statistics from the Department of Statistics, Ahmadu Bello University, Zaria-Nigeria. Currently he is a Senior Lecturer and Departmental Postgraduate Co-ordinator for Mathematics and Statistics programs in the Department of Mathematics and Statistics, Federal University Wukari, Nigeria.

Yaska Mutah, Department of Mathematics and Statistics, The Federal Polytechnic Mubi, Adamawa State

Yaska Mutah is affiliated with The Federal Polytechnic Mubi and holds a Bachelor of Science degree in Statistics from the University of Maiduguri, a Master of Science degree in Statistics from Modibbo Adama University of Technology, Yola, and a Postgraduate Diploma in Education from Usman Danfodio University of Sokoto. He is currently pursuing a PhD in Statistics at Modibbo Adama University, Yola. Additionally, he is an active member of professional organizations such as the Nigerian Statistical Association (NSA), the Mathematical Association of Nigeria (MAN), and the Teachers Registration Council of Nigeria (TRCN). His contributions include numerous publications in reputable journals and conferences.

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Published

2024-06-05

How to Cite

Stephen, M., John, D. I., & Mutah, Y. (2024). A Study on One-Parameter Entropy-Transformed Exponential Distribution and Its Application. Journal of Reliability and Statistical Studies, 17(01), 17–44. https://doi.org/10.13052/jrss0974-8024.1712

Issue

2024: Vol 17 Iss 1

Section

Articles