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Estimation of population mean using two auxiliary sources in sample surveys

Author

Listed:
  • Sharad Pathak
  • Diwakar Shukla
  • Narendra Singh Thakur

Abstract

This paper proposes families for estimation of population mean of the main variable under study using the information on two different auxiliary variables under simple random sampling without replacement (SRSWOR) scheme. Three different classes of estimators are constructed, examined with a complete study with other existing estimators. The expression for bias and mean squared error of the proposed families are obtained up to first order of approximation. Usual ratio estimator, product estimator, dual to ratio estimator, ratio-cum-product type estimator and many more estimators are identified as particular members of the suggested family. Expressions of optimization are derived and theoretical results are supported by numerical examples.

Suggested Citation

  • Sharad Pathak & Diwakar Shukla & Narendra Singh Thakur, 2012. "Estimation of population mean using two auxiliary sources in sample surveys," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 13(1), pages 21-36, March.
    • Handle: RePEc:csb:stintr:v:13:y:2012:i:1:p:21-36
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    References listed on IDEAS

    as
    1. Diwakar Shukla, 2002. "F-T estimator under two-phase sampling," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(1-2), pages 97-106.
    2. V. Naik & P. Gupta, 1991. "A general class of estimators for estimating population mean using auxiliary information," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 38(1), pages 11-17, December.
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