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Optimal estimation for finite population mean in two-phase sampling

Author

Listed:
  • G. Diana

    (Università di Padova)

  • C. Tommasi

    (Università di Milano)

Abstract

Using two-phase sampling scheme, we propose a general class of estimators for finite population mean. This class depends on the sample means and variances of two auxiliary variables. The minimum variance bound for any estimator in the class is provided (up to terms of ordern −1). It is also proved that there exists at least a chain regression type estimator which reaches this minimum. Finally, it is shown that other proposed estimators can reach the minimum variance bound, i.e. the optimal estimator is not unique.

Suggested Citation

  • G. Diana & C. Tommasi, 2003. "Optimal estimation for finite population mean in two-phase sampling," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 12(1), pages 41-48, February.
    • Handle: RePEc:spr:stmapp:v:12:y:2003:i:1:d:10.1007_bf02511582
    DOI: 10.1007/BF02511582
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    References listed on IDEAS

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    1. B. Kiregyera, 1984. "Regression-type estimators using two auxiliary variables and the model of double sampling from finite populations," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 31(1), pages 215-226, December.
    2. B. Kiregyera, 1980. "A chain ratio-type estimator in finite population double sampling using two auxiliary variables," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 27(1), pages 217-223, December.
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    Cited by:

    1. Giancarlo Diana & Chiara Tommasi & Paolo Preo, 2007. "Multi-phase sampling under cost constraints," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 16(3), pages 309-319, November.
    2. Giancarlo Diana & Chiara Tommasi, 2004. "Estimation for finite population variance in double sampling," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(2), pages 223-232.
    3. Giancarlo Diana & Pier Francesco Perri, 2007. "Estimation of finite population mean using multi-auxiliary information," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(1), pages 99-112.

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