Estimation of Population Mean in Chain Ratio-Type Estimator under Systematic Sampling
A chain ratio-type estimator is proposed for the estimation of finite population mean under systematic sampling scheme using two auxiliary variables. The mean square error of the proposed estimator is derived up to the first order of approximation and is compared with other relevant existing estimat...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2015/248374 |
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| _version_ | 1850167197157031936 |
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| author | Mursala Khan Rajesh Singh |
| author_facet | Mursala Khan Rajesh Singh |
| author_sort | Mursala Khan |
| collection | DOAJ |
| description | A chain ratio-type estimator is proposed for the estimation of finite population mean under systematic sampling scheme using two auxiliary variables. The mean square error of the proposed estimator is derived up to the first order of approximation and is compared with other relevant existing estimators. To illustrate the performances of the different estimators in comparison with the usual simple estimator, we have taken a real data set from the literature of survey sampling. |
| format | Article |
| id | doaj-art-e2667b88cf6440359b5f25e24bb715a9 |
| institution | OA Journals |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-e2667b88cf6440359b5f25e24bb715a92025-08-20T02:21:14ZengWileyJournal of Probability and Statistics1687-952X1687-95382015-01-01201510.1155/2015/248374248374Estimation of Population Mean in Chain Ratio-Type Estimator under Systematic SamplingMursala Khan0Rajesh Singh1Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad 22060, PakistanDepartment of Statistics, Banaras Hindu University, Varanasi 221005, IndiaA chain ratio-type estimator is proposed for the estimation of finite population mean under systematic sampling scheme using two auxiliary variables. The mean square error of the proposed estimator is derived up to the first order of approximation and is compared with other relevant existing estimators. To illustrate the performances of the different estimators in comparison with the usual simple estimator, we have taken a real data set from the literature of survey sampling.http://dx.doi.org/10.1155/2015/248374 |
| spellingShingle | Mursala Khan Rajesh Singh Estimation of Population Mean in Chain Ratio-Type Estimator under Systematic Sampling Journal of Probability and Statistics |
| title | Estimation of Population Mean in Chain Ratio-Type Estimator under Systematic Sampling |
| title_full | Estimation of Population Mean in Chain Ratio-Type Estimator under Systematic Sampling |
| title_fullStr | Estimation of Population Mean in Chain Ratio-Type Estimator under Systematic Sampling |
| title_full_unstemmed | Estimation of Population Mean in Chain Ratio-Type Estimator under Systematic Sampling |
| title_short | Estimation of Population Mean in Chain Ratio-Type Estimator under Systematic Sampling |
| title_sort | estimation of population mean in chain ratio type estimator under systematic sampling |
| url | http://dx.doi.org/10.1155/2015/248374 |
| work_keys_str_mv | AT mursalakhan estimationofpopulationmeaninchainratiotypeestimatorundersystematicsampling AT rajeshsingh estimationofpopulationmeaninchainratiotypeestimatorundersystematicsampling |