Ratio-cum-product type exponential estimator
This paper addresses the problem of estimating the population mean of the study variate Y using information on two auxiliary variables X1 and X2 . A ratio-cum-product type exponential estimator has been suggested and its bias and mean squared error have been derived under large sample approximation....
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Bologna
2013-05-01
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| Series: | Statistica |
| Online Access: | http://rivista-statistica.unibo.it/article/view/3561 |
| _version_ | 1798043320473092096 |
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| author | Housila P. Singh L. N. Upadhyaya Rajesh Tailor |
| author_facet | Housila P. Singh L. N. Upadhyaya Rajesh Tailor |
| author_sort | Housila P. Singh |
| collection | DOAJ |
| description | This paper addresses the problem of estimating the population mean of the study variate Y using information on two auxiliary variables X1 and X2 . A ratio-cum-product type exponential estimator has been suggested and its bias and mean squared error have been derived under large sample approximation. An almost unbiased ratio-cum-product type exponential estimator has also been derived by using Jackknife technique envisaged by Quenouille (1956). A generalized version of the ratio-cum-product exponential estimator has also been given along with its properties. Numerical illustration is given in support of the present study. |
| first_indexed | 2024-04-11T22:47:32Z |
| format | Article |
| id | doaj.art-d608e08687a4465ca508bb3f7dc6705a |
| institution | Directory Open Access Journal |
| issn | 0390-590X 1973-2201 |
| language | English |
| last_indexed | 2024-04-11T22:47:32Z |
| publishDate | 2013-05-01 |
| publisher | University of Bologna |
| record_format | Article |
| series | Statistica |
| spelling | doaj.art-d608e08687a4465ca508bb3f7dc6705a2022-12-22T03:58:42ZengUniversity of BolognaStatistica0390-590X1973-22012013-05-0169429931010.6092/issn.1973-2201/35613307Ratio-cum-product type exponential estimatorHousila P. Singh0L. N. Upadhyaya1Rajesh Tailor2School of Studies in Statistics - Vikram University, UjjainDepartment of Applied Mathematics - Indian School of Mines, Dhanbad, JharkhandSchool of Studies in Statistics - Vikram University, UjjainThis paper addresses the problem of estimating the population mean of the study variate Y using information on two auxiliary variables X1 and X2 . A ratio-cum-product type exponential estimator has been suggested and its bias and mean squared error have been derived under large sample approximation. An almost unbiased ratio-cum-product type exponential estimator has also been derived by using Jackknife technique envisaged by Quenouille (1956). A generalized version of the ratio-cum-product exponential estimator has also been given along with its properties. Numerical illustration is given in support of the present study.http://rivista-statistica.unibo.it/article/view/3561 |
| spellingShingle | Housila P. Singh L. N. Upadhyaya Rajesh Tailor Ratio-cum-product type exponential estimator Statistica |
| title | Ratio-cum-product type exponential estimator |
| title_full | Ratio-cum-product type exponential estimator |
| title_fullStr | Ratio-cum-product type exponential estimator |
| title_full_unstemmed | Ratio-cum-product type exponential estimator |
| title_short | Ratio-cum-product type exponential estimator |
| title_sort | ratio cum product type exponential estimator |
| url | http://rivista-statistica.unibo.it/article/view/3561 |
| work_keys_str_mv | AT housilapsingh ratiocumproducttypeexponentialestimator AT lnupadhyaya ratiocumproducttypeexponentialestimator AT rajeshtailor ratiocumproducttypeexponentialestimator |