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On ratio and product methods of estimation in sampling

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  • T. Srivenkataramana
  • D. S. Tracy

Abstract

In sample surveys the ratio (product) method of estimation is quite effective when there is a positively (negatively) high correlation between the study variate and an auxiliary variate on which supplementary information is available. This paper considers four estimators suited for cases where these correlations are only moderate and gives a rule of thumb for choosing among these and the traditional estimators. Such a choice needs a good guess of the interval containing a certain parameter k, which may not be hard in survey practice. A numerical example has been included for the case of positive correlation for illustration. An extension for using multiauxiliary information is also considered.

Suggested Citation

  • T. Srivenkataramana & D. S. Tracy, 1979. "On ratio and product methods of estimation in sampling," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 33(1), pages 37-49, March.
    • Handle: RePEc:bla:stanee:v:33:y:1979:i:1:p:37-49
    DOI: 10.1111/j.1467-9574.1979.tb00660.x
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    Cited by:

    1. Giancarlo Diana & Marco Giordan & Pier Perri, 2011. "An improved class of estimators for the population mean," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 20(2), pages 123-140, June.
    2. Ramkrishna Solanki & Housila Singh, 2015. "Efficient classes of estimators in stratified random sampling," Statistical Papers, Springer, vol. 56(1), pages 83-103, February.

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