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Construction of New Ratio Type Estimator of Population Parameter
(Punjab Agricultural University, Ludhiana, 2019) Manjinder Singh; Javed, Mohammed
In the present project research, an improved ratio type estimator of population mean for the study variable (Y) has been proposed, using the information on the auxiliary variable (X). The sample was selected from the population using simple random sampling without replacement (SRSWOR). The expressions for large sample properties such as bias and mean squared error (MSE) of proposed ratio type estimator were obtained, up to the first order of approximation. To judge the performance of the proposed ratio type estimator of population mean, an empirical study was conducted on the basis of MSE and percent relative efficiency (PRE). To achieve the merits of the proposed ratio type estimator, a comparison study was carried out with respect to the existing ratio estimators present in the literature. The optimum value of the characterizing scalar (α) has been obtained and the minimum value of the mean square error of the proposed ratio type estimator for this optimum value has also been obtained. The theoretical results are validated numerically using four population data sets considered earlier by Murthy (1967) and Mukhopadhyay (2009). Also, the graphical illustrations shows that the proposed ratio-type estimator performs better than the existing estimators of population mean under certain conditions.