Efficient Class of Estimators of Population Mean under Double Sampling

Authors

  • Shashi Bhushan Bhushan Department of Statistics, Univeristy of Lucknow, Lucknow, U.P., India
  • Anoop Kumar Kumar Department of Statistics, Amity University, Lucknow, U.P., India
  • Sumit Kumar Department of Statistics, Harish Chandra Post Graduate College, Varanasi, U.P., India

Keywords:

Bias, efficiency, mean square error, double sampling

Abstract

In this article, an efficient class of estimators of population mean is opined under double sampling scheme using auxiliary information which admits various existing estimators like the usual mean estimator, classical ratio estimator, Singh (2011) estimator and Bhushan and Gupta (2019) estimators. The first order approximation expressions of mean square error of the opined estimator are established
and the efficiency conditions are derived. Further, the soundness of the efficiency conditions is studied by an empirical study employing different real populations. The findings of the empirical study show the ascendancy of the opined class of estimators over the estimators existing till date.

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Published

2023-06-28

How to Cite

Bhushan, S. B., Kumar, A. K., & Kumar, S. . (2023). Efficient Class of Estimators of Population Mean under Double Sampling. Thailand Statistician, 21(3), 498–509. Retrieved from https://ph02.tci-thaijo.org/index.php/thaistat/article/view/250056

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