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Ratio and product methods of estimation of population mean in the presence of correlated measurement errors |
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| Authors: | Shalabh Jia-Ren Tsai |
| Institution: | 1. Department of Mathematics &2. Statistics, Indian Institute of Technology, Kanpur, India;3. Aim for the Top University Project Office, National Taiwan Normal University, Taipei, Taiwan, R.O.C. |
| Abstract: | The properties of the estimators of population mean arising from the ratio and product methods of estimation in the context of sample surveys have been analyzed in this paper when the observations on both the study and auxiliary variables are contaminated with measurement errors. The measurement errors in both the variables are also correlated. The properties of the ratio and product estimators along with the sample mean under the influence of measurement errors are derived and studied. The properties of the estimators in finite samples are studied through Monte-Carlo simulation and its findings are reported. |
| Keywords: | Correlated errors Measurement errors Product estimator Ratio estimator Sample mean Sample surveys |