Advances and Applications in Statistics

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ESTIMATION OF NEUTROSOPHIC POPULATION MEAN UTILIZING TWO AUXILIARY VARIABLES

Authors

  • A. Sabiya Nazrin Banu
  • Sabiya Nazrin Banu A

Keywords:

neutrosophic, ratio estimator, bias, mean squared error

DOI:

https://doi.org/10.17654/0972361726003

Abstract

This article introduces a novel method for estimating the population mean by incorporating two auxiliary variables into the framework of the neutrosophic theory. We have proposed a generalized neutrosophic ratio type estimator for estimating the population mean utilizing two auxiliary information, and the efficiency of the proposed estimator was analyzed through an empirical study. The findings demonstrate that using information from two auxiliary variables improves performance compared to the Simple Random Sampling Without Replacement (SRSWOR) neutrosophic sample mean and standard neutrosophic ratio estimator using one auxiliary variable. Further, we have derived the condition where the proposed estimator performs better than the existing estimators. The process is evaluated using real life medical (neutrosophic) data, where contradictions and inconsistencies in medical information are commonly acknowledged, and the inclusion of indeterminacy is crucial. A simulation study has also been conducted to further validate and enhance the proposed approach.

Received: July 4, 2025
Revised: September 23, 2025
Accepted: November 25, 2025

References

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[12] P. Singh and S. Gupta, Combining two auxiliary variables for elevated estimation of finite population mean under neutrosophic framework, Neutrosophic Sets and Systems, University of Mexico, 2025.

[13] A. Singh, H. Kulkarni, F. Smarandache and G. Vishwakarma, Computation of separate ratio and regression estimator under neutrosophic stratified sampling: an application to climate data, Journal of Fuzzy Extension and Applications (2024). https://doi.org/10.22105/jfea.2024.422211.1313.

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https://doi.org/10.1007/s40747-021-00439-1.

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Published

02-01-2026

Issue

Vol. 93 No. 1 (2026)

Section

Articles

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How to Cite

ESTIMATION OF NEUTROSOPHIC POPULATION MEAN UTILIZING TWO AUXILIARY VARIABLES. (2026). Advances and Applications in Statistics , 93(1), 33-48. https://doi.org/10.17654/0972361726003

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