Bayesian Estimation and Prediction for Exponentiated Inverted Topp-Leone Distribution
Albadawy, A., Ashour, E., EL-Helbawy, A., AL-Dayian, G. (2024). Bayesian Estimation and Prediction for Exponentiated Inverted Topp-Leone Distribution. EKB Journal Management System, 3(1), 33-56. doi: 10.21608/cjmss.2023.241890.1022
Amira Albadawy; Eman Ashour; Abeer A. EL-Helbawy; Gannat R. AL-Dayian. "Bayesian Estimation and Prediction for Exponentiated Inverted Topp-Leone Distribution". EKB Journal Management System, 3, 1, 2024, 33-56. doi: 10.21608/cjmss.2023.241890.1022
Albadawy, A., Ashour, E., EL-Helbawy, A., AL-Dayian, G. (2024). 'Bayesian Estimation and Prediction for Exponentiated Inverted Topp-Leone Distribution', EKB Journal Management System, 3(1), pp. 33-56. doi: 10.21608/cjmss.2023.241890.1022
Albadawy, A., Ashour, E., EL-Helbawy, A., AL-Dayian, G. Bayesian Estimation and Prediction for Exponentiated Inverted Topp-Leone Distribution. EKB Journal Management System, 2024; 3(1): 33-56. doi: 10.21608/cjmss.2023.241890.1022

Bayesian Estimation and Prediction for Exponentiated Inverted Topp-Leone Distribution

Computational Journal of Mathematical and Statistical Sciences
Volume 3, Issue 1, April 2024, Page 33-56  XML PDF (384.72 K)
Document Type: Original Article
DOI: 10.21608/cjmss.2023.241890.1022
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Authors
Amira Albadawy1; Eman Ashour2; Abeer A. EL-Helbawy email orcid 3; Gannat R. AL-Dayianorcid 4
1Statistics Department, Faculty of Commerce, AL-Azhar University (Girls’ Branch), Cairo, Egypt.
2Department of Statistics, Faculty of Commerce, AL-Azhar University (Girls’ Branch), Cairo, Egypt
3Department of Statistics, Faculty of Commerce, AL-Azhar University (Girls' Branch), Cairo, Egypt
4Department of Statistics, Faculty of Commerce, AL-Azhar University (Girls’ Branch), Cairo, Egypt
Abstract
This paper focuses on Bayesian estimation for the shape parameters, reliability and hazard rate functions of the exponentiated inverted distribution. Bayesian estimation is performed under two different loss functions. The Bayes estimators are derived under the squared error loss function as a symmetric loss function and the linear-exponential loss function as an asymmetric loss function, based on Type II censored sample. Credible intervals for the parameters, reliability and hazard rate functions are derived. The Bayesian two-sample prediction (point and interval) for a future observation from independent future sample from the same distribution, exponentiated inverted Topp-Leone distribution, is obtained based on Type II censored sample. Numerical illustration is proposed, and some interesting comparisons are presented to investigate the theoretical results through some measurements of accuracy. Moreover, the results are applied to real data set to ensure the theoretical results and to prove the applicability of the exponentiated inverted Topp-Leone distribution in real life.
Keywords
Two-sample prediction; Type II censoring; Squared error loss; LINEX loss function; Monte Carlo simulation
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