Estimating and Prediction for Alpha-Power Pareto distribution Based on Progressive Type-II Censoring Scheme | ||||
| المجلة العلمية لقطاع کليات التجارة بجامعة الأزهر | ||||
| Article 5, Volume 25, Issue 1, January 2021, Page 45-67 PDF (6.96 MB) | ||||
| Document Type: المقالة الأصلية | ||||
| DOI: 10.21608/jsfc.2021.248475 | ||||
 View on SCiNiTO | ||||
| Author | ||||
| R. M. Refaey* | ||||
| Statistics Department, Faculty of Commerce, AL-Azhar University (Girls’Branch), Cairo, Egypt | ||||
| Abstract | ||||
| In Statistical theory, inclusion of an additional parameter to standard distributions is a usual practice. Mahdavi and Kundu (2017) presented a method, called alpha power transformation, for including an extra parameter in continuous distribution. Basically, the idea was introduced to incorporate skewness to the baseline distribution. In this paper, the parameters of the alpha-power Pareto distribution, reliability and hazard rate functionsare estimated under progressive censoring Type-II scheme with random removal. The model parameters are estimated using the maximum likelihood estimation method. Further, the asymptotic confidence intervals for the model parameters are discussed. Maximum likelihood prediction (point and bounds) is considered for future order statistics under progressive Type-II censored informative samples. Numerical study is given and some interesting comparisons are presented to illustrate the theoretical results. Moreover, the results are applied to real data sets. | ||||
| Keywords | ||||
| alpha-power Pareto distribution; progressive Type-II censored samples; maximum likelihood method; asymptotic Fisher information matrix; two-sample prediction; maximum likelihood prediction | ||||
| References | ||||
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