Improved Estimator for Population Mean Utilizing Known Medians of Two Auxiliary Variables under Neutrosophic Framework

Abstract

In the context of classical statistics, the estimation of the population mean is done with determinate, precise, and crisp data when auxiliary information is available. However, there are instances where dealing with uncertain, indeterminate, and imprecise data in interval form is required. To overcome this issue, Florentin Smarandache introduced neutrosophic statistics as a novel approach. This paper introduces a neutrosophic modified ratio-cum-product log-type estimator for the estimation of the population mean using known medians of two auxiliary variables in the neutrosophic context. The bias and mean squared error (MSE) for the proposed estimators are computed to the first-order approximation. The proposed estimator shows better results than existing ones in terms of MSE and percent relative efficiency (PRE). It is recommended to use the estimator with the highest PRE or lowest MSE for practical applications across different fields. The suggested estimator’s effectiveness is validated through empirical studies, and its real-world applicability is illustrated using agricultural data.