A simulation study: An enhanced generalized class of estimators for estimation of population proportion using twofold auxiliary attribute

Heliyon. 2023 Jun 17;9(6):e17269. doi: 10.1016/j.heliyon.2023.e17269. eCollection 2023 Jun.

Abstract

The article introduces a novel class of estimators designed for estimating finite population proportions. These estimators utilize dual auxiliary attributes and are applicable under simple random sampling. The proposed class of estimators includes various members with distinct characteristics. The article provides numerical terminologies for the bias and MSE of the estimators, acquire up to first order of approximation. Four actual data sets are used. Additionally, a simulation study is accompanied to perceive the presentations of estimators. The MSE criterion is used to assess how well the proposed estimator performed as likened to the preliminary estimators. The simulation analysis revealed that, in contrast to other examined estimators, the suggested class of estimators provided better results. The empirical investigation offers evidence to substantiate the findings of the argument. Theoretical research also displays that the suggested class of estimators outperforms its competitors.

Keywords: Auxiliary attributes; MSE; Percentage relative efficiency; Proportion; Simulation; Study attributes.