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Estimating neutrosophic finite median employing robust measures of the auxiliary variable

Saadia Masood, Bareera Ibrar, Javid Shabbir, Ali Shokri, Zabihullah Movaheedi

2024Scientific Reports20 citationsDOIOpen Access PDF

Abstract

Our study explores neutrosophic statistics, an extension of classical and fuzzy statistics, to address the challenges of data uncertainty. By leveraging accurate measurements of an auxiliary variable, we can derive precise estimates for the unknown population median. The estimators introduced in this research are particularly useful for analysing unclear, vague data or within the neutrosophic realm. Unlike traditional methods that yield single-valued outcomes, our estimators produce ranges, suggesting where the population parameter is likely to be. We present the suggested generalised estimator's bias and mean square error within a first-order approximation framework. The practicality and efficiency of these proposed neutrosophic estimators are demonstrated through real-world data applications and the simulated data set.

Topics & Concepts

EstimatorStatisticsVariable (mathematics)Mean squared errorComputer sciencePopulationMathematicsSet (abstract data type)Fuzzy logicData setExtension (predicate logic)Data miningArtificial intelligenceMedicineProgramming languageMathematical analysisEnvironmental healthFuzzy Systems and OptimizationMulti-Criteria Decision MakingOptimization and Mathematical Programming
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