EFFICIENCY OF SOME MODIFIED RATIO TYPE ESTIMATORS USING PRODUCT OF SAMPLE SIZE AND PARAMETERS OF AUXILIARY VARIABLE FOR ESTIMATING POPULATION MEAN

Abstract

In this paper, we modified twenty-eight ratio type estimators for estimation of population mean of the study variable earlier suggested by Gupta and Yadav ([GY17]) using product of sample size and population parameter of auxiliary variable. The expressions for the bias and mean square errors of the newly modified ratio type estimators have been obtained up to the first order of approximation. A comparison has been made with the mentioned existing ratio estimators of population mean using the same data set used by Gupta and Yadav ([GY17]) for easy justification. The results obtained on the Mean Square Errors shows that the newly modified ratio type estimators perform better vis-à-vis the earlier suggested Gupta and Yadav ([GY17]) existing ratio type estimators but the newly modified ratio type Estimator, t*27, perform better, hence, recommended for usage in Sampling

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Keywords

Ratio Estimator, Auxiliary information, Sample size, Bias, Mean Squared Error, Efficiency

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