Reliability Analysis of Improved Type-II Adaptive Progressively Inverse XLindley Censored Data

Faculty Technology and Development Year: 2025
Type of Publication: ZU Hosted Pages:
Authors:
Journal: Axioms MDPI Volume:
Keywords : Reliability Analysis , Improved Type-II Adaptive Progressively    
Abstract:
This study offers a newly improved Type-II adaptive progressive censoring with data sampled from an inverse XLindley (IXL) distribution for more efficient and adaptive reliability assessments. Through this sampling mechanism, we evaluate the parameters of the IXL distribution, as well as its reliability and hazard rate features. In the context of reliability, to handle flexible and time-constrained testing frameworks in high-reliability environments, we formulate maximum likelihood estimators versus Bayesian estimates derived via Markov chain Monte Carlo techniques under gamma priors, which effectively capture prior knowledge. Two patterns of asymptotic interval estimates are constructed through the normal approximation of the classical estimates and of the log-transformed classical estimates. On the other hand, from the Markovian chains, two patterns of credible interval estimates are also constructed. A robust simulation study is carried out to compare the classical and Bayesian point estimation methods, along with the four interval estimation methods. This study’s practical usefulness is demonstrated by its analysis of a real-world dataset. The results reveal that both conventional and Bayesian inferential methods function accurately, with the Bayesian outcomes surpassing those of the conventional method.
   
     
 
       

Author Related Publications

  • Ahmed Shahat Ibrahim Sayyed Hassan, "Parameters Estimation for the Exponentiated Weibull Distribution Based on Generalized Progressive Hybrid Censoring Schemes", Science and Education Publishing, 2017 More
  • Ahmed Shahat Ibrahim Sayyed Hassan, "Maximum likelihood estimation of the generalised Gompertz distribution under progressively first-failure censored sampling", South African, 2018 More
  • Ahmed Shahat Ibrahim Sayyed Hassan, "Inferences for Weibull lifetime model under progressively first-failure censored data with binomial random removals", Published online in International Academic, 2020 More
  • Ahmed Shahat Ibrahim Sayyed Hassan, "Inferences for generalized Topp-Leone distribution under dual generalized order statistics with applications to Engineering and COVID-19 data", IOS Press, 2021 More
  • Ahmed Shahat Ibrahim Sayyed Hassan, "Inferences and Optimal Censoring Schemes for Progressively First-Failure Censored Nadarajah-Haghighi Distribution", Springer, 2020 More

Department Related Publications

  • Ahmed Shahat Ibrahim Sayyed Hassan, "Parameters Estimation for the Exponentiated Weibull Distribution Based on Generalized Progressive Hybrid Censoring Schemes", Science and Education Publishing, 2017 More
  • Ahmed Shahat Ibrahim Sayyed Hassan, "Maximum likelihood estimation of the generalised Gompertz distribution under progressively first-failure censored sampling", South African, 2018 More
  • Ahmed Shahat Ibrahim Sayyed Hassan, "Inferences for Weibull lifetime model under progressively first-failure censored data with binomial random removals", Published online in International Academic, 2020 More
  • Ahmed Shahat Ibrahim Sayyed Hassan, "Inferences for generalized Topp-Leone distribution under dual generalized order statistics with applications to Engineering and COVID-19 data", IOS Press, 2021 More
  • Ahmed Shahat Ibrahim Sayyed Hassan, "Inferences and Optimal Censoring Schemes for Progressively First-Failure Censored Nadarajah-Haghighi Distribution", Springer, 2020 More
Tweet