Log-Product-Type Estimator for Estimation of Population Variance Using Auxiliary Information

Authors

  • Prabhakar Mishra Department of Statistics, Banaras Hindu University, Varanasi, India
  • Ashish Sharma School of Business, UPES University, Dehradun, India
  • Nitesh Kumar Adichwal School of Management, IILM University, Greater Noida, Uttar Pradesh, India
  • Sakshi Rai Department of Statistics, Banaras Hindu University, Varanasi, India
  • Rajesh Singh Department of Statistics, Banaras Hindu University, Varanasi, India

Keywords:

Auxiliary variable, variance, SRSWOR, mean square error, bias

Abstract

This paper proposed a log product type estimator for estimating population variance under simple random sampling without replacement (SRSWOR) using auxiliary information. We have calculated the mean square error (MSE) and bias expressions up to the first order of approximation. To substantiate the result, an empirical study has been performed using three real population data sets. The properties of the estimators also verified through simulation study. The result shows that the performance of the proposed estimator is better than the existing estimators

References

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Published

2024-06-29

How to Cite

Mishra, P. ., Sharma, A. ., Kumar Adichwal, N. ., Rai, S. ., & Singh, R. . (2024). Log-Product-Type Estimator for Estimation of Population Variance Using Auxiliary Information. Thailand Statistician, 22(3), 610–617. Retrieved from https://ph02.tci-thaijo.org/index.php/thaistat/article/view/254771

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