Efficient neutrosophic exponential estimators for accurate population mean estimation in simple random sampling
نویسندگان
1 Department of Statistics, Central University of Haryana, Mahendergarh, Haryana, India.
2 Department of Statistics, Central University of Haryana, Mahendergarh, Haryana, India.
doi
10.22105/jfea.2025.477346.1619چکیده
Neutrosophic statistics extend the classical statistical methods by incorporating elements of indeterminacy and provide a powerful tool for handling imprecision and uncertainty in data. The objective of this paper is to introduce the efficient neutrosophic exponential estimators designed to meliorate the accuracy of population mean estimation under simple random sampling methodology. The proposed estimators use the exponential function to enhance the estimation procedures, resulting outperformance compared to the conventional estimators. Efficiency comparison and simulation study exhibit that the proposed estimators achieve least mean squared error and higher percent relative efficiency throughout different conditions. The proposed methods are also executed with some real data. The simulation and real data execution findings underscore the potential of the proposed neutrosophic exponential estimators to provide more accurate population mean estimate compared to the existing neutrosophic estimators such as neutrosophic sample mean, neutrosophic ratio estimator, generalized neutrosophic ratio estimator, neutrosophic regression estimator, neutrosophic power ratio estimator, neutrosophic exponential ratio estimator, [1] estimator, [2] estimator, and [3] estimator.