Masood S, Ibrar B, Shabbir J, Shokri A, Movaheedi Z. Estimating neutrosophic finite median employing robust measures of the auxiliary variable.
Sci Rep 2024;
14:10255. [PMID:
38704410 PMCID:
PMC11069584 DOI:
10.1038/s41598-024-60714-2]
[Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/07/2023] [Accepted: 04/26/2024] [Indexed: 05/06/2024] Open
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.
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