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Generalized naïve ratio and product based estimators for estimating population mode in simple random sampling

Sanjay Kumar, Nirmal Tiwari

Abstract



In this paper, we propose generalized naïve ratio and product based estimators of the population mode of a study variable using the known population mode of an auxiliary variable. The asymptotic properties of the proposed estimators are analytically as well as empirically studied under different situations. One real life application for the support of the properties of the proposed generalized naïve ratio based estimator has also been studied.It is shown that the proposed estimators using proper auxiliary information are more efficient than the na¨ıve estimator and the other relevant estimators.

Keywords


Ratio estimator, Product estimator, Mode, Mean square error, Confidence Interval, Simulation.

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