Bayesian and Non-Bayesian Estimation of Extended Exponential Distribution under Type-I Progressive Hybrid Censoring

Faculty Commerce Year: 2022
Type of Publication: ZU Hosted Pages: 915-928
Authors:
Journal: Journal of Statistics Applications & Probability Natural Sciences Publishing Volume: 11
Keywords : Bayesian , Non-Bayesian Estimation , Extended Exponential Distribution under    
Abstract:
The estimating problems of the model parameters, reliability and hazard functions of extended exponential distribution when sample is available from Type-I progressive hybrid censoring scheme will be considered. The maximum likelihood estimation has been obtained for any function of the model parameters. Based on the normality property of the classical estimators, approximate confidence intervals for the unknown parameters and any function of them are constructed. Further, to construct the asymptotic confidence interval of the reliability and hazard rate function. Using independent gamma priors, the Bayes estimators of the unknown parameters are derived based on both the symmetric squared error and asymmetric LINEX loss functions. Since the Bayes estimators are obtained in a complex form therefore, Markov Chain Monte Carlo using Metropolis-Hastings algorithm has been used to carry out the Bayes estimates and also to construct the associate highest posterior density credible intervals. To evaluate the performance of the proposed methods, a Monte Carlo simulation study is carried out. Finally, we consider medical data to illustrate the applicability of the methods covered in the paper.
   
     
 
       

Author Related Publications

  • Osama Elsayed Eraky Mohamed Abokhasem, "Statistical Analysis Based on Progressive Type-I Censored Scheme from Alpha Power Exponential Distribution with Engineering and Medical Applications", Hindawi, 2022 More
  • Osama Elsayed Eraky Mohamed Abokhasem, "Optimal sampling and statistical inferences for Kumaraswamy distribution under progressive Type-II censoring schemes", Nature Portfolio, 2023 More
  • Osama Elsayed Eraky Mohamed Abokhasem, "Statistical analysis of the Gompertz-Makeham model using adaptive progressively hybrid Type-II censoring and its applications in various sciences", Elsevier, 2023 More
  • Osama Elsayed Eraky Mohamed Abokhasem, "A New Two Sample Generalized Type-II Hybrid Censoring Scheme", Taylor & Francis, 2021 More
  • Osama Elsayed Eraky Mohamed Abokhasem, "Reliability Inferences of the Inverted NH Parameters via Generalized Type-II Progressive Hybrid Censoring with Applications", Symmetry, 2022 More

Department Related Publications

  • Hatem Elsayed Abdelwahied Semary, "الرضا الوظيفى لأعضاء هيئة التدريس والهيئة المعاونة والعاملين بكلية طب قصر العينى – جامعة القاهرة", جامعة القاهرة، مصر, 2016 More
  • Hatem Elsayed Abdelwahied Semary, "أساليب التنقيب في البيانات: الطرق المعلمية واللامعلمية Data Mining Techniques: Parametric and Nonparametric Methods", معهد الدراسات والبحوث الاحصائية – جامعة القاهرة, 2012 More
  • Hatem Elsayed Abdelwahied Semary, "The Factorial Composition and Weights for Subjective Component in Well-Being Index: Case Study in Giza Governorate, Egypt", Bulgaria, 2019 More
  • Hatem Elsayed Abdelwahied Semary, "Statistical Inference for A Simple Step–Stress Model with Type–II Hybrid Censored Data from the Kumaraswamy Weibull Distribution", China, 2020 More
  • Hatem Elsayed Abdelwahied Semary, "Bayes Inference in Multiple Step–Stress Accelerated Life Tests for the Generalized Exponential Distribution with Type–I Censoring", VENEZUELA, 2020 More
Tweet