A chain ratio exponential type estimator in two-phase sampling using auxiliary information
This paper advocates the problem of estimating the population mean of the study variable y using the information on two auxiliary variables x and z. We have suggested the family of chain ratio exponential type estimators in two-phase (or double) sampling. The bias and mean squared error (MSE) are ob...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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University of Bologna
2014-01-01
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| Series: | Statistica |
| Subjects: | |
| Online Access: | http://rivista-statistica.unibo.it/article/view/4133 |
| _version_ | 1819051574471688192 |
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| author | Rohini Yadav Lakshmi N. Upadhyaya Housila P. Singh S. Chatterjee |
| author_facet | Rohini Yadav Lakshmi N. Upadhyaya Housila P. Singh S. Chatterjee |
| author_sort | Rohini Yadav |
| collection | DOAJ |
| description | This paper advocates the problem of estimating the population mean of the study variable y using the information on two auxiliary variables x and z. We have suggested the family of chain ratio exponential type estimators in two-phase (or double) sampling. The bias and mean squared error (MSE) are obtained upto the first order of approximation. The suggested class of estimators is more efficient than the two-phase ratio estimator, Chand’s (1975) chain-type ratio estimator and Singh and Vishwakarma’s (2007) estimator in two-phase (or double) sampling. An empirical study is given to justify the superiority of the proposed estimator. |
| first_indexed | 2024-12-21T12:06:06Z |
| format | Article |
| id | doaj.art-c22b7bbc25044a48b40519d67345fd59 |
| institution | Directory Open Access Journal |
| issn | 0390-590X 1973-2201 |
| language | English |
| last_indexed | 2024-12-21T12:06:06Z |
| publishDate | 2014-01-01 |
| publisher | University of Bologna |
| record_format | Article |
| series | Statistica |
| spelling | doaj.art-c22b7bbc25044a48b40519d67345fd592022-12-21T19:04:41ZengUniversity of BolognaStatistica0390-590X1973-22012014-01-0173222123410.6092/issn.1973-2201/41333795A chain ratio exponential type estimator in two-phase sampling using auxiliary informationRohini Yadav0Lakshmi N. Upadhyaya1Housila P. Singh2S. Chatterjee3Indian School of Mines, DhanbadIndian School of Mines, DhanbadVikram UniversityIndian School of Mines, DhanbadThis paper advocates the problem of estimating the population mean of the study variable y using the information on two auxiliary variables x and z. We have suggested the family of chain ratio exponential type estimators in two-phase (or double) sampling. The bias and mean squared error (MSE) are obtained upto the first order of approximation. The suggested class of estimators is more efficient than the two-phase ratio estimator, Chand’s (1975) chain-type ratio estimator and Singh and Vishwakarma’s (2007) estimator in two-phase (or double) sampling. An empirical study is given to justify the superiority of the proposed estimator.http://rivista-statistica.unibo.it/article/view/4133study variableauxiliary variableschain-type ratio estimatorbias and mean squared error |
| spellingShingle | Rohini Yadav Lakshmi N. Upadhyaya Housila P. Singh S. Chatterjee A chain ratio exponential type estimator in two-phase sampling using auxiliary information Statistica study variable auxiliary variables chain-type ratio estimator bias and mean squared error |
| title | A chain ratio exponential type estimator in two-phase sampling using auxiliary information |
| title_full | A chain ratio exponential type estimator in two-phase sampling using auxiliary information |
| title_fullStr | A chain ratio exponential type estimator in two-phase sampling using auxiliary information |
| title_full_unstemmed | A chain ratio exponential type estimator in two-phase sampling using auxiliary information |
| title_short | A chain ratio exponential type estimator in two-phase sampling using auxiliary information |
| title_sort | chain ratio exponential type estimator in two phase sampling using auxiliary information |
| topic | study variable auxiliary variables chain-type ratio estimator bias and mean squared error |
| url | http://rivista-statistica.unibo.it/article/view/4133 |
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