Efficiency of Ratio, Product, and Regression Estimators under Maximum and Minimum Values, Using Two Auxiliary Variables
To obtain the best estimates of the unknown population parameters have been the key theme of the statisticians. In the present paper we have suggested some estimators which estimate the population parameters efficiently. In short we propose a ratio, product, and regression estimators using two auxil...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/693782 |
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| author | Abdullah Y. Al-Hossain Mursala Khan |
| author_facet | Abdullah Y. Al-Hossain Mursala Khan |
| author_sort | Abdullah Y. Al-Hossain |
| collection | DOAJ |
| description | To obtain the best estimates of the unknown population parameters have been the key theme of the statisticians. In the present paper we have suggested some estimators which estimate the population parameters efficiently. In short we propose a ratio, product, and regression estimators using two auxiliary variables, when there are some maximum and minimum values of the study and auxiliary variables, respectively. The properties of the proposed strategies in terms of mean square errors (variances) are derived up to first order of approximation. Also the performance of the proposed estimators have shown theoretically and these theoretical conditions are verified numerically by taking four real data sets under which the proposed class of estimators performed better than the other previous works. |
| format | Article |
| id | doaj-art-f473a54081754b9bbf0deea2b06698f9 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-f473a54081754b9bbf0deea2b06698f92025-02-03T01:11:19ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/693782693782Efficiency of Ratio, Product, and Regression Estimators under Maximum and Minimum Values, Using Two Auxiliary VariablesAbdullah Y. Al-Hossain0Mursala Khan1Department of Mathematics, Faculty of Science, Jazan University, Jazan 2097, Saudi ArabiaDepartment of Mathematics, COMSATS Institute of Information Technology, Abbottabad, PakistanTo obtain the best estimates of the unknown population parameters have been the key theme of the statisticians. In the present paper we have suggested some estimators which estimate the population parameters efficiently. In short we propose a ratio, product, and regression estimators using two auxiliary variables, when there are some maximum and minimum values of the study and auxiliary variables, respectively. The properties of the proposed strategies in terms of mean square errors (variances) are derived up to first order of approximation. Also the performance of the proposed estimators have shown theoretically and these theoretical conditions are verified numerically by taking four real data sets under which the proposed class of estimators performed better than the other previous works.http://dx.doi.org/10.1155/2014/693782 |
| spellingShingle | Abdullah Y. Al-Hossain Mursala Khan Efficiency of Ratio, Product, and Regression Estimators under Maximum and Minimum Values, Using Two Auxiliary Variables Journal of Applied Mathematics |
| title | Efficiency of Ratio, Product, and Regression Estimators under Maximum and Minimum Values, Using Two Auxiliary Variables |
| title_full | Efficiency of Ratio, Product, and Regression Estimators under Maximum and Minimum Values, Using Two Auxiliary Variables |
| title_fullStr | Efficiency of Ratio, Product, and Regression Estimators under Maximum and Minimum Values, Using Two Auxiliary Variables |
| title_full_unstemmed | Efficiency of Ratio, Product, and Regression Estimators under Maximum and Minimum Values, Using Two Auxiliary Variables |
| title_short | Efficiency of Ratio, Product, and Regression Estimators under Maximum and Minimum Values, Using Two Auxiliary Variables |
| title_sort | efficiency of ratio product and regression estimators under maximum and minimum values using two auxiliary variables |
| url | http://dx.doi.org/10.1155/2014/693782 |
| work_keys_str_mv | AT abdullahyalhossain efficiencyofratioproductandregressionestimatorsundermaximumandminimumvaluesusingtwoauxiliaryvariables AT mursalakhan efficiencyofratioproductandregressionestimatorsundermaximumandminimumvaluesusingtwoauxiliaryvariables |