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A generalized ratio-cum-product estimator for estimating the finite population mean in survey sampling

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  • Housila P. Singh
  • Ramkrishna S. Solanki
  • Alok K. Singh

Abstract

This paper suggested an alternative ratio-cum-product type class of estimators of population mean using exponentiation method in simple random sampling. Approximate bias and mean squared error formulae of the suggested class of estimators have been obtained up to the first order of approximation. Asymptotic optimum estimator in the suggested class of estimators has been obtained with its mean squared error formula. Regions of preferences have been obtained under which the suggested class of estimators has been better than the usual unbiased, ratio and product estimators and the estimators according to Singh and Agnihotri (2008). Some examples are cited with numerical study.

Suggested Citation

  • Housila P. Singh & Ramkrishna S. Solanki & Alok K. Singh, 2016. "A generalized ratio-cum-product estimator for estimating the finite population mean in survey sampling," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(1), pages 158-172, January.
    • Handle: RePEc:taf:lstaxx:v:45:y:2016:i:1:p:158-172
    DOI: 10.1080/03610926.2013.827719
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