Parameters Estimation for the Exponentiated Weibull Distribution Based on Generalized Progressive Hybrid Censoring Schemes

Faculty Technology and Development Year: 2017
Type of Publication: ZU Hosted Pages:
Authors:
Journal: American Journal of Applied Mathematics and Statistics Science and Education Publishing Volume:
Keywords : Parameters Estimation , , Exponentiated Weibull Distribution Based    
Abstract:
Based on Type-I and Type-II generalized progressive hybrid censoring schemes, the maximum likelihood estimators and Bayes estimators for the unknown parameters of exponentiated Weibull lifetime model are derived. The approximate asymptotic variance-covariance matrix and approximate confidence intervals based on the asymptotic normality of the classical estimators are obtained. Independent non-informative types of priors are considered for the unknown parameters to develop the Bayes estimators and corresponding Bayes risks under a squared error loss function. Proposed estimators cannot be expressed in closed forms and can be evaluated numerically by some suitable iterative procedure. Finally, one real data set is analyzed for illustrative purposes.
   
     
 
       

Author Related Publications

  • 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
  • Ahmed Shahat Ibrahim Sayyed Hassan, "Estimation of Lifetime Parameters for Generalized Gompertz Distribution Under Progressively First-Failure-Censored Data", International Journal of Applied Mathematics and Statistics, 2021 More

Department Related Publications

  • Ahmed Abdelwahab Ahmed Eeid, "استخدام الشبكات العصبية الاحتمالية فى الدمج بين آليات الحوكمة والتنبؤ بالتعثر المالى فى سوق رأس المال المصرى (دراسة نظرية تطبيقية)", مجلة الدراسات والبحوث التجارية - كلية التجارة - جامعة بنها, 2015 More
  • Ahmed Shahat Ibrahim Sayyed Hassan, "Bayesian Life Analysis of Generalized Chen's Population Under Progressive Censoring", Open Journal Systems, 2022 More
  • Ahmed Shahat Ibrahim Sayyed Hassan, "Statistical Analysis of Improved Type-II Adaptive Progressive Hybrid Censored NH Data", Springer Nature, 2024 More
  • Ahmed Shahat Ibrahim Sayyed Hassan, "Analysis of the new complementary unit Weibull model from adaptive progressively Type-II hybrid", AIP Publishing, 2024 More
Tweet