An improved exponential estimator of finite population mean in simple random sampling using an auxiliary attribute |
| |
Authors: | Lovleen Kumar Grover Parmdeep Kaur |
| |
Institution: | Department of Mathematics, Guru Nanak Dev University, Punjab, India |
| |
Abstract: | In this paper, we propose an exponential ratio type estimator of the finite population mean when auxiliary information is qualitative in nature. Under simple random sampling without replacement scheme, the expressions for the bias and the mean square error of the proposed estimator have been obtained, up to first order of approximation. To show that our proposed estimator is more efficient as compared to the existing estimators, we have made a comparative study with respect to their mean square errors. Theoretically and numerically, we have found that our proposed estimator is always more efficient as compared to its competitor estimators including all the estimators of Abd-Elfattah et al. 1] A.M. Abd-Elfattah, E.A. El-Sherpieny, S.M. Mohamed, and O.F. Abdou. Improvement in estimating the population mean in simple random sampling using information on auxiliary attribute. Applied Mathematics and Computation, 215 (2010), 4198-4202]. |
| |
Keywords: | Auxiliary attribute Bias Mean square error Percent relative efficiency Point bi-serial correlation Simple random sampling Study variable |
本文献已被 ScienceDirect 等数据库收录! |
|