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Reliability Estimation of Burr Type III Distribution under Improved Adaptive Progressive Censoring with Application to Surface Coating
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Department of Mechanical Engineering, Payame Noor University (PNU), Tehran, Iran.
Department of Mathematics and Statistics, Lahijan Branch, Islamic Azad University, Lahijan, Iran.
Department of Mathematics, College of Arts & Sciences, Wadi Ad Dawasir (11991), Prince Sattam Bin Abdulaziz University, Al-Kharj, Kingdom of Saudi Arabia.
Department of Basic Sciences, College of science and theoretical studies, Saudi electronic university, Riyadh11673, Kingdom of Saudi Arabia.
Online publication date: 2023-04-04
Publication date: 2023-04-04
Eksploatacja i Niezawodność – Maintenance and Reliability 2023;25(2):163054
  • The SSRe is proposed to determine the probability of the coating process working properly.
  • Based on the Burr III distribution, the IAPrgCS-II is applied as a novel censoring scheme.
  • The SSRe model parameters are attained using frequentist and Bayesian aspects.
  • The BEs perform relatively better than ML estimates in the reliability model environment.
  • The results show us that the SSRe can be used to amend the quality of coatings.
The stress-strength reliability (SSRe) model is widely investigated in reliability engineering to determine the probability of the strength component overcomes the stress imposed on it. In this paper, we studied the estimation of SSRe model based on the Burr III distribution under the improved adaptive progressive type-II censoring scheme (IAPrgCS-II). Estimation methods of the SSRe parameters are developed using frequentist and Bayesian approaches. The point and interval estimations using the maximum likelihood are considered to estimate the parameters. Two approximations are applied to compute the Bayes estimates. A simulation study is conducted for the comparison of the methods of estimation. Also, parallel to the development of reliability studies, it is necessary to study its application in different sciences such as engineering. Therefore, the droplet splashing (DrS) data under two wettabilities are proposed as an application of the considered SSRe model and methods. The results show us that the reliability model can be used to amend the quality of coatings.
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