A new improved estimator for the population mean using twofold auxiliary information under simple random sampling
In this manuscript, the mean of the study and the auxiliary variable, as well as the rank of the auxiliary variable, were needed to develop a new, improved ratio-in-regression type estimator for population mean. Up to the first order of approximation, expressions for the bias and mean squar...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Growing Science
2023-01-01
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| Series: | Management Science Letters |
| Online Access: | http://www.growingscience.com/msl/Vol13/msl_2023_9.pdf |
| _version_ | 1827912283118895104 |
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| author | Muhammad Tahir Bu Yude Saima Bashir Sardar Hussain Tahir Munir |
| author_facet | Muhammad Tahir Bu Yude Saima Bashir Sardar Hussain Tahir Munir |
| author_sort | Muhammad Tahir |
| collection | DOAJ |
| description | In this manuscript, the mean of the study and the auxiliary variable, as well as the rank of the auxiliary variable, were needed to develop a new, improved ratio-in-regression type estimator for population mean. Up to the first order of approximation, expressions for the bias and mean square error of the existing and proposed estimators are computed. The effectiveness and stability of our new, enhanced estimator are evaluated using simulation and two actual data sets. The suggested estimator's superior performance to all other considered estimators is shown both conceptually and numerically. The mean square error is the lowest, and PREs out-performs other known estimators by a factor of more than one hundred. Overall, we draw the conclusion that the suggested new improved estimator outperforms all its predecessors. |
| first_indexed | 2024-03-13T02:13:44Z |
| format | Article |
| id | doaj.art-25f36f54ab284b5e8346a73f9165c31f |
| institution | Directory Open Access Journal |
| issn | 1923-9335 1923-9343 |
| language | English |
| last_indexed | 2024-03-13T02:13:44Z |
| publishDate | 2023-01-01 |
| publisher | Growing Science |
| record_format | Article |
| series | Management Science Letters |
| spelling | doaj.art-25f36f54ab284b5e8346a73f9165c31f2023-06-30T19:00:15ZengGrowing ScienceManagement Science Letters1923-93351923-93432023-01-0113426527610.5267/j.msl.2023.5.001A new improved estimator for the population mean using twofold auxiliary information under simple random samplingMuhammad TahirBu YudeSaima BashirSardar HussainTahir Munir In this manuscript, the mean of the study and the auxiliary variable, as well as the rank of the auxiliary variable, were needed to develop a new, improved ratio-in-regression type estimator for population mean. Up to the first order of approximation, expressions for the bias and mean square error of the existing and proposed estimators are computed. The effectiveness and stability of our new, enhanced estimator are evaluated using simulation and two actual data sets. The suggested estimator's superior performance to all other considered estimators is shown both conceptually and numerically. The mean square error is the lowest, and PREs out-performs other known estimators by a factor of more than one hundred. Overall, we draw the conclusion that the suggested new improved estimator outperforms all its predecessors.http://www.growingscience.com/msl/Vol13/msl_2023_9.pdf |
| spellingShingle | Muhammad Tahir Bu Yude Saima Bashir Sardar Hussain Tahir Munir A new improved estimator for the population mean using twofold auxiliary information under simple random sampling Management Science Letters |
| title | A new improved estimator for the population mean using twofold auxiliary information under simple random sampling |
| title_full | A new improved estimator for the population mean using twofold auxiliary information under simple random sampling |
| title_fullStr | A new improved estimator for the population mean using twofold auxiliary information under simple random sampling |
| title_full_unstemmed | A new improved estimator for the population mean using twofold auxiliary information under simple random sampling |
| title_short | A new improved estimator for the population mean using twofold auxiliary information under simple random sampling |
| title_sort | new improved estimator for the population mean using twofold auxiliary information under simple random sampling |
| url | http://www.growingscience.com/msl/Vol13/msl_2023_9.pdf |
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