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Estimating and prediction for alpha-power Pareto distribution based on progressive type-II censoring scheme
Author
Source
al-Azhar Scientific Journal of the Commercial Faculties
Issue
Vol. 2021, Issue 25 (31 Jan. 2021), pp.45-67, 23 p.
Publisher
al-Azhar University Faculty of Commerce-Boys
Publication Date
2021-01-31
Country of Publication
Egypt
No. of Pages
23
Main Subjects
Topics
Abstract EN
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.
American Psychological Association (APA)
Rifai, R. M.. 2021. Estimating and prediction for alpha-power Pareto distribution based on progressive type-II censoring scheme. al-Azhar Scientific Journal of the Commercial Faculties،Vol. 2021, no. 25, pp.45-67.
https://search.emarefa.net/detail/BIM-1421125
Modern Language Association (MLA)
Rifai, R. M.. Estimating and prediction for alpha-power Pareto distribution based on progressive type-II censoring scheme. al-Azhar Scientific Journal of the Commercial Faculties No. 25 (Jan. 2021), pp.45-67.
https://search.emarefa.net/detail/BIM-1421125
American Medical Association (AMA)
Rifai, R. M.. Estimating and prediction for alpha-power Pareto distribution based on progressive type-II censoring scheme. al-Azhar Scientific Journal of the Commercial Faculties. 2021. Vol. 2021, no. 25, pp.45-67.
https://search.emarefa.net/detail/BIM-1421125
Data Type
Journal Articles
Language
English
Notes
-
Record ID
BIM-1421125