[0,1] Truncated Fréchet-Pareto Distributions

Authors

  • Enas Abd Alhafudh Mohammad Economics and Administration College - Karbala University
  • Sada Faydh Mohammad Economics and Administration College - Karbala University

Keywords:

[0,1] TFP, Shannon entropy, Stress-strength model, Ranyi entropy, Relative entropy

Abstract

This work, a new continuous distribution built depend on [0,1] truncated Fréchet Pareto ([0,1] TFP) has been introduced and discussed. The cumulative distribution function and properties of the new distribution are obtained under consideration. It is clear that any item fails when it has a pressure to which it is subjected surpasses the conforming strength. Strength, can be noticed as “resistance to failure” in this case. The expected stress is less than techniques for strength if there is a good design practice. We can define the safety factor in expressions of strength and stress as strength/stress. Therefore, this work will derive the [0,1] TFP strength-stress model with more than one parameters. Moreover, this paper will drive the Shannon entropy and Relative entropy and Renyi entropy as well.

Author Biographies

Enas Abd Alhafudh Mohammad, Economics and Administration College - Karbala University

استاذ مساعد دكتور في قسم الاحصاء 

Sada Faydh Mohammad, Economics and Administration College - Karbala University

استاذ مساعد دكتور في قسم الاحصاء 

 

References

Salah H. Abid, Russul K. Abdulrazak, (2017) " Truncated Fréchet-Uniform and Exponential Distributions" American Journal of Systems Science, p-ISSN: 2332-8452 ,

Abid, S., Hassan, H. (2015) "The Beta Marshall-Olkin Extended Uniform Distribution"; Journal of Safety Engineering 2015, 4(1): 1-7.

Eugene, N., Lee, C., Famoye, F. (2002) "Beta-normal distribution and its applications" Commun.Statist. - Theory and Methods 31:497-512.

Gradshteyn, I.S., Ryzhik, I.M. (2000) "Table of integrals, series, and products" Academic Press, San Diego.

Gupta, A.K., Nadarajah, S. (2004) "On the moments of the beta normal distribution" Commun. Statist. - Theory and Methods 33:1-13.

The cdf of Fréchet Pareto Distribution

Published

2024-10-09

How to Cite

ايناس عبدالحافظ محمد, & صدى فايض محمد. (2024). [0,1] Truncated Fréchet-Pareto Distributions. Iraqi Journal for Administrative Sciences, 15(61), 228–243. Retrieved from https://mail.journals.uokerbala.edu.iq/index.php/ijas/article/view/2456