Estimation of population median using bivariate auxiliary information in simple random sampling
To estimate the unknown population median, several researchers have developed efficient estimators but these estimators are unable to provide efficient results in the existence of outliers. Keeping this point in view, the present work suggests enhanced class of robust estimators to estimate populati...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2024-04-01
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| Series: | Heliyon |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844024049223 |
| _version_ | 1827292710173671424 |
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| author | Muhammad Ali Hussain Maria Javed Muhammad Zohaib Sandile C. Shongwe Muhammad Awais Abdullah A. Zaagan Muhammad Irfan |
| author_facet | Muhammad Ali Hussain Maria Javed Muhammad Zohaib Sandile C. Shongwe Muhammad Awais Abdullah A. Zaagan Muhammad Irfan |
| author_sort | Muhammad Ali Hussain |
| collection | DOAJ |
| description | To estimate the unknown population median, several researchers have developed efficient estimators but these estimators are unable to provide efficient results in the existence of outliers. Keeping this point in view, the present work suggests enhanced class of robust estimators to estimate population median under simple random sampling in case of outliers/extreme observations. The suggested estimators are a mixture of bivariate auxiliary information and robust measures with the linear combination of deciles mean, tri-mean and Hodges Lehmann estimator. Mathematical properties associated with the improved class of robust estimators are evaluated in terms of bias and mean squared error. Moreover, the potentiality of our suggested estimators as compared to already available estimators is checked by considering two real-life data sets with outlier(s). In addition, a simulation study is also added in this regard. From theoretical and numerical findings, it is observed that our newly suggested estimators outperforms as compared to its competitors. |
| first_indexed | 2024-04-24T13:10:29Z |
| format | Article |
| id | doaj.art-452cbe1a308045c0b78f182b16b7aa38 |
| institution | Directory Open Access Journal |
| issn | 2405-8440 |
| language | English |
| last_indexed | 2024-04-24T13:10:29Z |
| publishDate | 2024-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj.art-452cbe1a308045c0b78f182b16b7aa382024-04-05T04:41:15ZengElsevierHeliyon2405-84402024-04-01107e28891Estimation of population median using bivariate auxiliary information in simple random samplingMuhammad Ali Hussain0Maria Javed1Muhammad Zohaib2Sandile C. Shongwe3Muhammad Awais4Abdullah A. Zaagan5Muhammad Irfan6Business School, NingboTech University, Ningbo, 315100, Zhejiang, ChinaDepartment of Statistics, Government College University, Faisalabad, PakistanDepartment of Mathematics, The University of Faisalabad, PakistanDepartment of Mathematical Statistics and Actuarial Science, Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein, 9301, South Africa; Corresponding author.Department of Computer Science, NFC Institute of Engineering & Fertilizer Research, Faisalabad, PakistanDepartment of Mathematics, College of Science, Jazan University, P.O. Box 114, Jazan, 45142, Kingdom of Saudi ArabiaDepartment of Statistics, Government College University, Faisalabad, Pakistan; Corresponding author.To estimate the unknown population median, several researchers have developed efficient estimators but these estimators are unable to provide efficient results in the existence of outliers. Keeping this point in view, the present work suggests enhanced class of robust estimators to estimate population median under simple random sampling in case of outliers/extreme observations. The suggested estimators are a mixture of bivariate auxiliary information and robust measures with the linear combination of deciles mean, tri-mean and Hodges Lehmann estimator. Mathematical properties associated with the improved class of robust estimators are evaluated in terms of bias and mean squared error. Moreover, the potentiality of our suggested estimators as compared to already available estimators is checked by considering two real-life data sets with outlier(s). In addition, a simulation study is also added in this regard. From theoretical and numerical findings, it is observed that our newly suggested estimators outperforms as compared to its competitors.http://www.sciencedirect.com/science/article/pii/S2405844024049223Auxiliary variableMean squared errorMedianRobustness and mahalanobis distance |
| spellingShingle | Muhammad Ali Hussain Maria Javed Muhammad Zohaib Sandile C. Shongwe Muhammad Awais Abdullah A. Zaagan Muhammad Irfan Estimation of population median using bivariate auxiliary information in simple random sampling Heliyon Auxiliary variable Mean squared error Median Robustness and mahalanobis distance |
| title | Estimation of population median using bivariate auxiliary information in simple random sampling |
| title_full | Estimation of population median using bivariate auxiliary information in simple random sampling |
| title_fullStr | Estimation of population median using bivariate auxiliary information in simple random sampling |
| title_full_unstemmed | Estimation of population median using bivariate auxiliary information in simple random sampling |
| title_short | Estimation of population median using bivariate auxiliary information in simple random sampling |
| title_sort | estimation of population median using bivariate auxiliary information in simple random sampling |
| topic | Auxiliary variable Mean squared error Median Robustness and mahalanobis distance |
| url | http://www.sciencedirect.com/science/article/pii/S2405844024049223 |
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