Abstract
When, there is an ambiguity in the data, the classical statistics fails which only dealt with crisp, precise or determinate sorts of data to estimate the population mean when auxiliary information is available. To deal with such uncertainty, Neutrosophic Statistics is an extended version of both classical and fuzzy statistics, engage with ambiguous, indeterminate, unclear information. This article offers a Neutrosophic exponential-type estimator for estimating the population mean in the presence of uncertainty by using Neutrosophic study and auxiliary variable. To the first order approximation, the expressions for bias and mean squared error of Neutrosophic exponential-type estimator have been derived. A comparison study have also been made across the existing estimators by using mean squared error and illustrate the superiority of Neutrosophic exponential-type estimator over conventional estimators. At last, a simulation study using R software have been conducted to assess the effectiveness of the proposed methodology.
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Kumar, S., Kour, S.P., Choudhary, M. et al. Determination of Population Mean Using Neutrosophic, Exponential-Type Estimator. Lobachevskii J Math 43, 3359–3367 (2022). https://doi.org/10.1134/S1995080222140219
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DOI: https://doi.org/10.1134/S1995080222140219