On Improving Ratio/Product Estimator by Ratio/Product-cum-Mean-per-Unit Estimator Targeting More Efficient Use of Auxiliary Information
To achieve a more efficient use of auxiliary information we propose single-parameter ratio/product-cum-mean-per-unit estimators for a finite population mean in a simple random sample without replacement when the magnitude of the correlation coefficient is not very high (less than or equal to 0.7). T...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2014/360549 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832556428692291584 |
|---|---|
| author | Angela Shirley Ashok Sahai Isaac Dialsingh |
| author_facet | Angela Shirley Ashok Sahai Isaac Dialsingh |
| author_sort | Angela Shirley |
| collection | DOAJ |
| description | To achieve a more efficient use of auxiliary information we propose single-parameter ratio/product-cum-mean-per-unit estimators for a finite population mean in a simple random sample without replacement when the magnitude of the correlation coefficient is not very high (less than or equal to 0.7). The first order large sample approximation to the bias and the mean square error of our proposed estimators are obtained. We use simulation to compare our estimators with the well-known sample mean, ratio, and product estimators, as well as the classical linear regression estimator for efficient use of auxiliary information. The results are conforming to our motivating aim behind our proposition. |
| format | Article |
| id | doaj-art-7ed1649dbc9545c287fd04ca4692bbe6 |
| institution | Kabale University |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-7ed1649dbc9545c287fd04ca4692bbe62025-02-03T05:45:26ZengWileyJournal of Probability and Statistics1687-952X1687-95382014-01-01201410.1155/2014/360549360549On Improving Ratio/Product Estimator by Ratio/Product-cum-Mean-per-Unit Estimator Targeting More Efficient Use of Auxiliary InformationAngela Shirley0Ashok Sahai1Isaac Dialsingh2Department of Mathematics and Statistics, Faculty of Science and Technology, The University of the West Indies St Augustine, St. Augustine, Trinidad and TobagoDepartment of Mathematics and Statistics, Faculty of Science and Technology, The University of the West Indies St Augustine, St. Augustine, Trinidad and TobagoDepartment of Mathematics and Statistics, Faculty of Science and Technology, The University of the West Indies St Augustine, St. Augustine, Trinidad and TobagoTo achieve a more efficient use of auxiliary information we propose single-parameter ratio/product-cum-mean-per-unit estimators for a finite population mean in a simple random sample without replacement when the magnitude of the correlation coefficient is not very high (less than or equal to 0.7). The first order large sample approximation to the bias and the mean square error of our proposed estimators are obtained. We use simulation to compare our estimators with the well-known sample mean, ratio, and product estimators, as well as the classical linear regression estimator for efficient use of auxiliary information. The results are conforming to our motivating aim behind our proposition.http://dx.doi.org/10.1155/2014/360549 |
| spellingShingle | Angela Shirley Ashok Sahai Isaac Dialsingh On Improving Ratio/Product Estimator by Ratio/Product-cum-Mean-per-Unit Estimator Targeting More Efficient Use of Auxiliary Information Journal of Probability and Statistics |
| title | On Improving Ratio/Product Estimator by Ratio/Product-cum-Mean-per-Unit Estimator Targeting More Efficient Use of Auxiliary Information |
| title_full | On Improving Ratio/Product Estimator by Ratio/Product-cum-Mean-per-Unit Estimator Targeting More Efficient Use of Auxiliary Information |
| title_fullStr | On Improving Ratio/Product Estimator by Ratio/Product-cum-Mean-per-Unit Estimator Targeting More Efficient Use of Auxiliary Information |
| title_full_unstemmed | On Improving Ratio/Product Estimator by Ratio/Product-cum-Mean-per-Unit Estimator Targeting More Efficient Use of Auxiliary Information |
| title_short | On Improving Ratio/Product Estimator by Ratio/Product-cum-Mean-per-Unit Estimator Targeting More Efficient Use of Auxiliary Information |
| title_sort | on improving ratio product estimator by ratio product cum mean per unit estimator targeting more efficient use of auxiliary information |
| url | http://dx.doi.org/10.1155/2014/360549 |
| work_keys_str_mv | AT angelashirley onimprovingratioproductestimatorbyratioproductcummeanperunitestimatortargetingmoreefficientuseofauxiliaryinformation AT ashoksahai onimprovingratioproductestimatorbyratioproductcummeanperunitestimatortargetingmoreefficientuseofauxiliaryinformation AT isaacdialsingh onimprovingratioproductestimatorbyratioproductcummeanperunitestimatortargetingmoreefficientuseofauxiliaryinformation |