A new exponential ratio-type estimator with linear combination of two auxiliary variables.
In sample surveys, it is usual to make use of auxiliary information to increase the precision of estimators. We propose a new exponential ratio-type estimator of a finite population mean using linear combination of two auxiliary variables and obtain mean square error (MSE) equation for proposed esti...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Public Library of Science (PLoS)
2014-01-01
|
| Series: | PLoS ONE |
| Online Access: | http://europepmc.org/articles/PMC4277478?pdf=render |
| _version_ | 1818319019990581248 |
|---|---|
| author | Jingli Lu Zaizai Yan Xiuyun Peng |
| author_facet | Jingli Lu Zaizai Yan Xiuyun Peng |
| author_sort | Jingli Lu |
| collection | DOAJ |
| description | In sample surveys, it is usual to make use of auxiliary information to increase the precision of estimators. We propose a new exponential ratio-type estimator of a finite population mean using linear combination of two auxiliary variables and obtain mean square error (MSE) equation for proposed estimator. We find theoretical conditions that make proposed estimator more efficient than traditional multivariate ratio estimator using information of two auxiliary variables, the estimator of Bahl and Tuteja and the estimator proposed by Abu-Dayeh et al. In addition, we support these theoretical results with the aid of two numerical examples. |
| first_indexed | 2024-12-13T10:02:28Z |
| format | Article |
| id | doaj.art-8c44578697764f00b658ccfe8463417b |
| institution | Directory Open Access Journal |
| issn | 1932-6203 |
| language | English |
| last_indexed | 2024-12-13T10:02:28Z |
| publishDate | 2014-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj.art-8c44578697764f00b658ccfe8463417b2022-12-21T23:51:38ZengPublic Library of Science (PLoS)PLoS ONE1932-62032014-01-01912e11612410.1371/journal.pone.0116124A new exponential ratio-type estimator with linear combination of two auxiliary variables.Jingli LuZaizai YanXiuyun PengIn sample surveys, it is usual to make use of auxiliary information to increase the precision of estimators. We propose a new exponential ratio-type estimator of a finite population mean using linear combination of two auxiliary variables and obtain mean square error (MSE) equation for proposed estimator. We find theoretical conditions that make proposed estimator more efficient than traditional multivariate ratio estimator using information of two auxiliary variables, the estimator of Bahl and Tuteja and the estimator proposed by Abu-Dayeh et al. In addition, we support these theoretical results with the aid of two numerical examples.http://europepmc.org/articles/PMC4277478?pdf=render |
| spellingShingle | Jingli Lu Zaizai Yan Xiuyun Peng A new exponential ratio-type estimator with linear combination of two auxiliary variables. PLoS ONE |
| title | A new exponential ratio-type estimator with linear combination of two auxiliary variables. |
| title_full | A new exponential ratio-type estimator with linear combination of two auxiliary variables. |
| title_fullStr | A new exponential ratio-type estimator with linear combination of two auxiliary variables. |
| title_full_unstemmed | A new exponential ratio-type estimator with linear combination of two auxiliary variables. |
| title_short | A new exponential ratio-type estimator with linear combination of two auxiliary variables. |
| title_sort | new exponential ratio type estimator with linear combination of two auxiliary variables |
| url | http://europepmc.org/articles/PMC4277478?pdf=render |
| work_keys_str_mv | AT jinglilu anewexponentialratiotypeestimatorwithlinearcombinationoftwoauxiliaryvariables AT zaizaiyan anewexponentialratiotypeestimatorwithlinearcombinationoftwoauxiliaryvariables AT xiuyunpeng anewexponentialratiotypeestimatorwithlinearcombinationoftwoauxiliaryvariables AT jinglilu newexponentialratiotypeestimatorwithlinearcombinationoftwoauxiliaryvariables AT zaizaiyan newexponentialratiotypeestimatorwithlinearcombinationoftwoauxiliaryvariables AT xiuyunpeng newexponentialratiotypeestimatorwithlinearcombinationoftwoauxiliaryvariables |