Parametric Inference for Inverted Exponentiated Rayleigh Distribution under General Progressive Type II Censoring Scheme | ||
| مجلة البحوث التجارية | ||
| Article 25, Volume 47, Issue 2, April 2025, Pages 270-303 PDF (1.21 M) | ||
| Document Type: تجاریة کل ما یتعلق بالعلوم التجاریة | ||
| DOI: 10.21608/zcom.2025.363797.1419 | ||
| Authors | ||
| مريم أحمد السيد محمد سليم* 1; أسامه السيد عراقي1; سامية ابو الفتوح سالم2 | ||
| 1قسم الرياضة والإحصاء والتأمين، کلية التجارة، جامعة الزقازيق، مصر | ||
| 2قسم الإحصاء والرياضة والتأمين، کلية التجارة، جامعة الزقازيق، مصر | ||
| Abstract | ||
| A parametric inference of point and interval estimates for inverted exponentiated Rayleigh distribution with general progressive Type-II censoring scheme is studied using both classical and Bayesian estimation. The maximum likelihood method is used for estimating the unknown two-parameter inverted exponentiated Rayleigh distribution and some lifetime parameters such as survival and hazard rate functions in presence of general progressive Type-II censoring sampling. The approximate confidence intervals through Fisher information matrix, highest posterior density credible intervals for the two-parameter inverted exponentiated Rayleigh distribution, and any function of them, are constructed. In addition, Bayesian estimates of the unknown parameters are computed using two different loss functions squared error loss and linear exponential loss functions. A Markov Chain Monte Carlo method technique is applied to carry out Bayesian estimation procedure. Finally, a numerical simulation is carried out to assess the performance of the proposed methods and real data is analyzed using the suggested inference methods. | ||
| Keywords | ||
| General progressive Type II censoring scheme; Inverted exponentiated Rayleigh distribution; Maximum likelihood estimation; Bayesian estimation; Markov Chain Monte Carlo | ||
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