An Efficient Approach for Estimating Population Mean in Simple Random Sampling Using an Auxiliary Attribute
Keywords:
SRSWOR, study variable, bias, auxiliary attribute, MSEAbstract
This research article addresses the problem of estimating the population mean of the study variable y using auxiliary attribute. Under large sample approximation, we proposed a class of estimators and their properties. We observe that Shabbir and Gupta (2007)’s mean squared error of his estimator is incorrect; hence we have obtained the correct mean squared error of Shabbir and Gupta’s estimator (2007). It is also identified that the class of estimators due to Grover and Kaur (2011), Zaman (2019), Singh et al. (2007) and Solanki and Singh (2013) are members of the suggested class of estimators. It is found that the proposed classes of estimators are more efficient than Shabbir and Gupta (2007), Grover and Kaur (2011), Zaman (2019), Singh et al. (2007) and Solanki and Singh (2013). In support of the current work, a numerical illustration is provided.
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