Open Access iconOpen Access

ARTICLE

crossmark

Entropy Bayesian Analysis for the Generalized Inverse Exponential Distribution Based on URRSS

Amer I. Al-Omari1, Amal S. Hassan2, Heba F. Nagy2, Ayed R. A. Al-Anzi3,*, Loai Alzoubi1

1 Faculty of Science, Department of Mathematics, Al al-Bayt University, Mafraq, 25113, Jordan
2 Faculty of Graduate Studies for Statistical Research, Cairo University, Giza, 12613, Egypt
3 Department of Mathematics, College of Science and Human Studies at Hotat Sudair, Majmaah University, Majmaah, 11952, Saudia Arabia

* Corresponding Author: Ayed R. A. Al-Anzi. Email: email

Computers, Materials & Continua 2021, 69(3), 3795-3811. https://doi.org/10.32604/cmc.2021.019061

Abstract

This paper deals with the Bayesian estimation of Shannon entropy for the generalized inverse exponential distribution. Assuming that the observed samples are taken from the upper record ranked set sampling (URRSS) and upper record values (URV) schemes. Formulas of Bayesian estimators are derived depending on a gamma prior distribution considering the squared error, linear exponential and precautionary loss functions, in addition, we obtain Bayesian credible intervals. The random-walk Metropolis-Hastings algorithm is handled to generate Markov chain Monte Carlo samples from the posterior distribution. Then, the behavior of the estimates is examined at various record values. The output of the study shows that the entropy Bayesian estimates under URRSS are more convenient than the other estimates under URV in the majority of the situations. Also, the entropy Bayesian estimates perform well as the number of records increases. The obtained results validate the usefulness and efficiency of the URV method. Real data is analyzed for more clarifying purposes which validate the theoretical results.

Keywords


Cite This Article

APA Style
Al-Omari, A.I., Hassan, A.S., Nagy, H.F., Al-Anzi, A.R.A., Alzoubi, L. (2021). Entropy bayesian analysis for the generalized inverse exponential distribution based on URRSS. Computers, Materials & Continua, 69(3), 3795-3811. https://doi.org/10.32604/cmc.2021.019061
Vancouver Style
Al-Omari AI, Hassan AS, Nagy HF, Al-Anzi ARA, Alzoubi L. Entropy bayesian analysis for the generalized inverse exponential distribution based on URRSS. Comput Mater Contin. 2021;69(3):3795-3811 https://doi.org/10.32604/cmc.2021.019061
IEEE Style
A.I. Al-Omari, A.S. Hassan, H.F. Nagy, A.R.A. Al-Anzi, and L. Alzoubi "Entropy Bayesian Analysis for the Generalized Inverse Exponential Distribution Based on URRSS," Comput. Mater. Contin., vol. 69, no. 3, pp. 3795-3811. 2021. https://doi.org/10.32604/cmc.2021.019061

Citations




cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • 1683

    View

  • 856

    Download

  • 0

    Like

Share Link