Estimation of population mean utilizing two neutrosophic auxiliary variables with imprecise information

Authors

  • Sunil Kumar Yadav Department of Statistics, Institute of Science, Banaras Hindu University, Varanasi-221005, Uttar Pradesh, India
  • Rajesh Singh Department of Statistics, Institute of Science, Banaras Hindu University, Varanasi-221005, Uttar Pradesh, India
  • Shobh Nath Tiwari * Department of Statistics, Institute of Science, Banaras Hindu University, Varanasi-221005, Uttar Pradesh, India

https://doi.org/10.48313/uda.v2i1.51

Abstract

This paper introduces two improved almost unbiased estimator for estimating the finite population mean in neutrosophic settings, incorporating two auxiliary variables to handle indeterminate data more effectively. We have improved the classic ratio and product estimator with new estimators  and , offering enhanced accuracy when applied to uncertain real-life data. Through theoretical derivations and empirical validation using agricultural data (rice yield with climatic variables), we demonstrate that our estimators perform better in term of both accuracy and efficiency. The results show significantly higher Percentage Relative Efficiency (PRE) and lower Mean Squared Error (MSE), highlighting the method’s effectiveness for scenarios involving imprecise or indeterminate data. This study develops a framework for better statistical estimation by merging neutrosophic logic with classical sampling methods to handle imprecise data effectively.  

Keywords:

Neutrosophic statistics, Ratio estimator, Product estimator, Auxiliary variables, Population mean, Percentage relative efficiency

References

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Published

2024-03-18

Issue

Vol. 2 No. 1 (2025): Uncertainty Discourse and Applications

Section

Articles

How to Cite

Yadav, S. K. ., Singh, R. ., & Tiwari, S. N. (2024). Estimation of population mean utilizing two neutrosophic auxiliary variables with imprecise information. Uncertainty Discourse and Applications, 2(1), 17-31. https://doi.org/10.48313/uda.v2i1.51

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