Generalized Exponential Type Estimator for Population Variance in Survey Sampling
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| Natura: | Artículo científico |
| Lingua: | en |
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Universidad Nacional de Colombia
2014
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| _version_ | 1876450122207854592 |
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| author | Amber Asghar |
| author_facet | Amber Asghar |
| contents | Generalized Exponential Type Estimator for Population Variance in Survey Sampling Amber Asghar Aamir Sanaullah Muhammad Hanif Física, Astronomía y Matemáticas Bias Single phase sampling Mean square error Auxiliary variable In this paper, generalized exponential-type estimator has been proposed for estimating the population variance using mean auxiliary variable in singlephase sampling. Some special cases of the proposed generalized estimator have also been discussed. The expressions for the mean square error and bias of the proposed generalized estimator have been derived. The proposed generalized estimator has been compared theoretically with the usual unbiased estimator, usual ratio and product, exponential-type ratio and product, and generalized exponential-type ratio estimators and the conditions under which the proposed estimators are better than some existing estimators have also been given. An empirical study has also been carried out to demonstrate the efficiencies of the proposed estimators. 2014 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89931327014 en http://www.redalyc.org/revista.oa?id=899 Revista Colombiana de Estadística application/pdf Universidad Nacional de Colombia Revista Colombiana de Estadística (Colombia) Num.1 Vol.37 |
| format | Artículo científico |
| id | redalyc_89931327014 |
| institution | Redalyc |
| language | en |
| publishDate | 2014 |
| publisher | Universidad Nacional de Colombia |
| spellingShingle | Generalized Exponential Type Estimator for Population Variance in Survey Sampling Amber Asghar Física, Astronomía y Matemáticas Bias Single phase sampling Mean square error Auxiliary variable Generalized Exponential Type Estimator for Population Variance in Survey Sampling Amber Asghar Aamir Sanaullah Muhammad Hanif Física, Astronomía y Matemáticas Bias Single phase sampling Mean square error Auxiliary variable In this paper, generalized exponential-type estimator has been proposed for estimating the population variance using mean auxiliary variable in singlephase sampling. Some special cases of the proposed generalized estimator have also been discussed. The expressions for the mean square error and bias of the proposed generalized estimator have been derived. The proposed generalized estimator has been compared theoretically with the usual unbiased estimator, usual ratio and product, exponential-type ratio and product, and generalized exponential-type ratio estimators and the conditions under which the proposed estimators are better than some existing estimators have also been given. An empirical study has also been carried out to demonstrate the efficiencies of the proposed estimators. 2014 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89931327014 en http://www.redalyc.org/revista.oa?id=899 Revista Colombiana de Estadística application/pdf Universidad Nacional de Colombia Revista Colombiana de Estadística (Colombia) Num.1 Vol.37 |
| title | Generalized Exponential Type Estimator for Population Variance in Survey Sampling |
| topic | Física, Astronomía y Matemáticas Bias Single phase sampling Mean square error Auxiliary variable |
| url | https://www.redalyc.org/articulo.oa?id=89931327014 |