Neutrosophic Exponential Ratio-Type Estimator for Finite Population Mean
Keywords:
Neutrosophic statistics, Exponential ratio-type estimator, Auxiliary variable, Mean square error, Percent relative efficiencyAbstract
This paper proposes a neutrosophic exponential-type estimator for finite population mean esti
mation using auxiliary variables. Traditional statistical estimators often fall short when handling
vague or uncertain data. Neutrosophic statistics provide a robust alternative, as they are specifically
designed to address and incorporate indeterminacy. The mean square error (MSE) expressions are
derived and the proposed estimator is compared with existing estimators through a numerical exam
ple using stock price data and a simulation study. Unlike traditional techniques, which provide point
estimates, this method yields interval-based results and achieves a lower mean squared error (MSE),
thereby enhancing the accuracy and dependability of the population mean estimation.
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