Predictive Estimation of Population Mean in Ranked Set Sampling
The article presents predictive estimation of population mean of the study variable in Ranked Set Sampling (RSS). It is shown that the predictive estimators in RSS using mean per unit estimator, ratio estimator and regression estimator as predictor for non-sampled values are equivalent to the corre...
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| Format: | Article |
| Language: | English |
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Instituto Nacional de Estatística | Statistics Portugal
2019-10-01
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| Series: | Revstat Statistical Journal |
| Subjects: | |
| Online Access: | https://revstat.ine.pt/index.php/REVSTAT/article/view/280 |
| _version_ | 1798036785072177152 |
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| author | Shakeel Ahmed Javid Shabbir Sat Gupta |
| author_facet | Shakeel Ahmed Javid Shabbir Sat Gupta |
| author_sort | Shakeel Ahmed |
| collection | DOAJ |
| description |
The article presents predictive estimation of population mean of the study variable in Ranked Set Sampling (RSS). It is shown that the predictive estimators in RSS using mean per unit estimator, ratio estimator and regression estimator as predictor for non-sampled values are equivalent to the corresponding classical estimators in RSS. On the other hand, when product estimator is used as predictor, the resulting estimator differs from the classical product estimator under RSS. Expressions for the Bias and the Mean Squared Error (MSE) of the proposed estimators are obtained up to first order of approximation. A simulation study is conducted to observe the performance of estimators under predictive approach.
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| first_indexed | 2024-04-11T21:17:45Z |
| format | Article |
| id | doaj.art-97f72cb199dd46e6ab10ad9729205b69 |
| institution | Directory Open Access Journal |
| issn | 1645-6726 2183-0371 |
| language | English |
| last_indexed | 2024-04-11T21:17:45Z |
| publishDate | 2019-10-01 |
| publisher | Instituto Nacional de Estatística | Statistics Portugal |
| record_format | Article |
| series | Revstat Statistical Journal |
| spelling | doaj.art-97f72cb199dd46e6ab10ad9729205b692022-12-22T04:02:45ZengInstituto Nacional de Estatística | Statistics PortugalRevstat Statistical Journal1645-67262183-03712019-10-0117410.57805/revstat.v17i4.280Predictive Estimation of Population Mean in Ranked Set SamplingShakeel Ahmed 0Javid Shabbir 1Sat Gupta 2Quaid-i-Azam UniversityQuaid-i-Azam UniversityUniversity of North Carolina at Greensboro The article presents predictive estimation of population mean of the study variable in Ranked Set Sampling (RSS). It is shown that the predictive estimators in RSS using mean per unit estimator, ratio estimator and regression estimator as predictor for non-sampled values are equivalent to the corresponding classical estimators in RSS. On the other hand, when product estimator is used as predictor, the resulting estimator differs from the classical product estimator under RSS. Expressions for the Bias and the Mean Squared Error (MSE) of the proposed estimators are obtained up to first order of approximation. A simulation study is conducted to observe the performance of estimators under predictive approach. https://revstat.ine.pt/index.php/REVSTAT/article/view/280efficiencyproduct estimatorratio estimatorregression estimatorRSS |
| spellingShingle | Shakeel Ahmed Javid Shabbir Sat Gupta Predictive Estimation of Population Mean in Ranked Set Sampling Revstat Statistical Journal efficiency product estimator ratio estimator regression estimator RSS |
| title | Predictive Estimation of Population Mean in Ranked Set Sampling |
| title_full | Predictive Estimation of Population Mean in Ranked Set Sampling |
| title_fullStr | Predictive Estimation of Population Mean in Ranked Set Sampling |
| title_full_unstemmed | Predictive Estimation of Population Mean in Ranked Set Sampling |
| title_short | Predictive Estimation of Population Mean in Ranked Set Sampling |
| title_sort | predictive estimation of population mean in ranked set sampling |
| topic | efficiency product estimator ratio estimator regression estimator RSS |
| url | https://revstat.ine.pt/index.php/REVSTAT/article/view/280 |
| work_keys_str_mv | AT shakeelahmed predictiveestimationofpopulationmeaninrankedsetsampling AT javidshabbir predictiveestimationofpopulationmeaninrankedsetsampling AT satgupta predictiveestimationofpopulationmeaninrankedsetsampling |