
<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>
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
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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