@article{Hasaballah2024, 
author = {Mustafa M. Hasaballah and Yusra A. Tashkandy and Oluwafemi Samson Balogun and M. E. Bakr},
title = {Reliability analysis for two populations Nadarajah-Haghighi distribution under Joint progressive type-II censoring},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {4},
pages = {10333-10352},
keywords = {Nadarajah-Haghighighi distributions, Bayesian estimation, Joint progressive censoring scheme, MCMC method},
url = {https://www.sciopen.com/article/10.3934/math.2024505},
doi = {10.3934/math.2024505},
abstract = {In order to evaluate the competitive advantages and dependability of two products in a competitive environment, comparative lifespan testing becomes essential. We examine the inference problems that occur when two product lines follow the Nadarajah-Haghighighi distribution in the setting of joint type-II censoring. In the present study, we derived the maximum likelihood estimates for the Nadarajah-Haghighi population parameters. Additionally, a Fisher information matrix was constructed based on these maximum likelihood estimations. Furthermore, Bayesian estimators and their corresponding posterior risks were calculated, considering both gamma and non-informative priors under symmetric and asymmetric loss functions. To assess the performance of the overall parameter estimators, we conducted a Monte Carlo simulation using numerical methods. Lastly, a real data analysis was carried out to validate the accuracy of the models and methods discussed.}
}