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Ratio-cum-product Type Estimators for Rare and Hidden Clustered Population

Author

Listed:
  • Rajesh Singh

    (Banaras Hindu University)

  • Rohan Mishra

    (Banaras Hindu University)

Abstract

The use of multi-auxiliary variables helps in increasing the precision of the estimators, especially when the population is rare and hidden clustered. In this article, four ratio-cum-product type estimators have been proposed using two auxiliary variables under adaptive cluster sampling (ACS) design. The expressions of the mean square error (MSE) of the proposed ratio-cum-product type estimators have been derived up to the first order of approximation and presented along with their efficiency conditions with respect to the estimators presented in this article. The efficiency of the proposed estimators over similar existing estimators have been assessed on four different populations two of which are of the daily spread of COVID-19 cases. The proposed estimators performed better than the estimators presented in this article on all four populations indicating their wide applicability and precision.

Suggested Citation

  • Rajesh Singh & Rohan Mishra, 2023. "Ratio-cum-product Type Estimators for Rare and Hidden Clustered Population," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 85(1), pages 33-53, May.
    • Handle: RePEc:spr:sankhb:v:85:y:2023:i:1:d:10.1007_s13571-022-00298-x
    DOI: 10.1007/s13571-022-00298-x
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    References listed on IDEAS

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    1. M. Singh, 1967. "Ratio cum product method of estimation," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 12(1), pages 34-42, December.
    2. Raosaheb V. Latpate & Jayant K. Kshirsagar, 2020. "Two Stage Inverse Adaptive Cluster Sampling With Stopping Rule Depends upon the Size of Cluster," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 82(1), pages 70-83, May.
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