A New Difference-Cum-Exponential Type Estimator of Finite Population Mean in Simple Random Sampling
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| Natura: | Artículo científico |
| Lingua: | en |
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Universidad Nacional de Colombia
2014
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| _version_ | 1876485897854124032 |
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| author | Javid Shabbir |
| author_facet | Javid Shabbir |
| contents | A New Difference-Cum-Exponential Type Estimator of Finite Population Mean in Simple Random Sampling Javid Shabbir Abdul Haq Sat Gupta Física, Astronomía y Matemáticas MSE Bias Efficiency Ratio estimator Auxiliary Variable Auxiliary information is frequently used to improve the accuracy of the estimators when estimating the unknown population parameters. In this paper, we propose a new difference-cum-exponential type estimator for the finite population mean using auxiliary information in simple random sampling. The expressions for the bias and mean squared error of the proposed estimator are obtained under first order of approximation. It is shown theoretically, that the proposed estimator is always more efficient than the sample mean, ratio, product, regression and several other existing estimators considered here. An empirical study using 10 data sets is also conducted to validate the theoretical findings. 2014 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89931327013 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_89931327013 |
| institution | Redalyc |
| language | en |
| publishDate | 2014 |
| publisher | Universidad Nacional de Colombia |
| spellingShingle | A New Difference-Cum-Exponential Type Estimator of Finite Population Mean in Simple Random Sampling Javid Shabbir Física, Astronomía y Matemáticas MSE Bias Efficiency Ratio estimator Auxiliary Variable A New Difference-Cum-Exponential Type Estimator of Finite Population Mean in Simple Random Sampling Javid Shabbir Abdul Haq Sat Gupta Física, Astronomía y Matemáticas MSE Bias Efficiency Ratio estimator Auxiliary Variable Auxiliary information is frequently used to improve the accuracy of the estimators when estimating the unknown population parameters. In this paper, we propose a new difference-cum-exponential type estimator for the finite population mean using auxiliary information in simple random sampling. The expressions for the bias and mean squared error of the proposed estimator are obtained under first order of approximation. It is shown theoretically, that the proposed estimator is always more efficient than the sample mean, ratio, product, regression and several other existing estimators considered here. An empirical study using 10 data sets is also conducted to validate the theoretical findings. 2014 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89931327013 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 | A New Difference-Cum-Exponential Type Estimator of Finite Population Mean in Simple Random Sampling |
| topic | Física, Astronomía y Matemáticas MSE Bias Efficiency Ratio estimator Auxiliary Variable |
| url | https://www.redalyc.org/articulo.oa?id=89931327013 |