Reliability analysis for two populations Nadarajah-Haghighi distribution under Joint progressive type-II censoring

Mustafa M. Hasaballah; Yusra A. Tashkandy; Oluwafemi Samson Balogun; M. E. Bakr; Mustafa M. Hasaballah; Yusra A. Tashkandy; Oluwafemi Samson Balogun; M. E. Bakr

doi:10.3934/math.2024505

AIMS Mathematics

2024, Volume 9, Issue 4: 10333-10352. doi: 10.3934/math.2024505

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Research article

Reliability analysis for two populations Nadarajah-Haghighi distribution under Joint progressive type-II censoring

1.
Marg Higher Institute of Engineering and Modern Technology, Cairo 11721, Egypt
2.
Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
3.
Department of Computing, University of Eastern Finland, Kuopio FI-70211, Finland

Received: 08 January 2024 Revised: 23 February 2024 Accepted: 07 March 2024 Published: 14 March 2024
MSC : 62N05, 62F10

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.
- Nadarajah-Haghighighi distributions,
- Bayesian estimation,
- Joint progressive censoring scheme,
- MCMC method
Citation: Mustafa M. Hasaballah, Yusra A. Tashkandy, Oluwafemi Samson Balogun, M. E. Bakr. Reliability analysis for two populations Nadarajah-Haghighi distribution under Joint progressive type-II censoring[J]. AIMS Mathematics, 2024, 9(4): 10333-10352. doi: 10.3934/math.2024505

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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.

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