Forthcoming

Bayesian and Frequentist Estimation of Stress-Strength Reliability from a New Extended Burr XII Distribution

Accepted: March 2023

Authors

Keywords:

Burr distribution, Bayesian inference, Maximum likelihood method, stress-strength reliability, data analysis

Abstract

In this article, we propose and study a new three-parameter heavy-tailed distribution that unifes the Burr type XII and power inverted Topp-Leone distributions in an original manner. This unification is made through the use of a simple 'shift parameter'. Among its interesting functionalities, it exhibits possibly decreasing and unimodal probability density and hazard rate functions. We examine its quantile function, stochastic dominance, ordinary moments, weighted moments, incomplete moments, and stress-strength reliability cofficient. Then, the classical and Bayesian approaches are developed to estimate the model and stress strength reliability parameters. Bayes estimates are obtained under the squared error and entropy loss functions. Simulated data are considered to point out the performance of the derived estimates based on the mean squared error. In the final part, the potential of the new model is exemplified by the analysis of two engineering data sets, showing that it is preferable to other reputable and comparable models.

Published

2023-03-14

How to Cite

Agiwal, V., Tyagi, S., & Chesneau , C. (2023). Bayesian and Frequentist Estimation of Stress-Strength Reliability from a New Extended Burr XII Distribution: Accepted: March 2023. REVSTAT-Statistical Journal. Retrieved from https://revstat.ine.pt/index.php/REVSTAT/article/view/544

Issue

Section

Forthcoming Paper