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

تحليل الموثوقية لاثنين من السكان توزيع Nadarajah - Haghighi تحت الرقابة التدريجية المشتركة من النوع الثاني
Authors: Mustafa M. Hasaballah; Yusra Tashkandy; Oluwafemi Samson Balogun; M. E. Bakr;

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

Abstract

<abstract><p>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.</p></abstract>

Keywords

Statistics and Probability, Artificial intelligence, Population, Bayesian probability, Estimator, Quantum mechanics, joint progressive censoring scheme, Lifetime Modeling, Joint probability distribution, Methods for Handling Missing Data in Statistical Analysis, Inference, Order statistic, Sociology, Skew Distributions and Applications in Statistics, Prior probability, nadarajah-haghighighi distributions, QA1-939, FOS: Mathematics, Censoring (clinical trials), Demography, Global and Planetary Change, Maximum Likelihood Estimation, Physics, Statistics, Mixed-Effects Models, Power (physics), Applied mathematics, mcmc method, Computer science, FOS: Sociology, Monte Carlo method, Reliability (semiconductor), Physical Sciences, Global Drought Monitoring and Assessment, Environmental Science, Mathematics, bayesian estimation

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Top 10%
Average
Top 10%
gold