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Original Articles

Homogeneous Linear Estimator and Optimality in Finite Population Sampling

Pages 1-7 | Received 19 Mar 2012, Accepted 13 Jul 2012, Published online: 25 Feb 2013

References

  • Basu , D. 1971 . “ An essay on logical foundations of survey sampling ” . In Foundations of statistical inference , Edited by: Godambe , V.P. and Sprott , D.A. 203 – 233 . Toronto , ON : Holt, Rinehart & Winston .
  • Godambe , V. P. 1955 . A unified theory of sampling from finite populations . J. R. Stat. Soc. B , 17 : 269 – 278 .
  • Isaki , C. T. and Fuller , W. A. 1982 . Survey design under the regression superpopulation model . J. Am. Stat. Associ. , 77 : 89 – 96 .
  • Nayak , T. K. 2003 . Finding optimal estimators in survey sampling using unbiased estimators of zero . J. Stat. Plan. Inf. , 114 : 21 – 30 .
  • Royall , R. M. 1970 . On finite population sampling theory under certain linear regression models . Biometrika , 57 : 377 – 387 .
  • Scott , A. and Smith , T. M. F. 1969 . Estimation in multi-stage surveys . J. Am. Stat. Assoc. , 64 : 830 – 40 .
  • Sinha , B. K. and Prasada Rao , P. S. S. N. V. 2011 . Godambe's nonexistence theorem—Revisited and refined through matrix arguments. Technical report , Kolkata : Indian Statistical Institute .
  • Sugden , R. A. and Smith , T. M. F. 2002 . Exact linear unbiased estimation in survey sampling . J. Stat. Plan. Inf. , 102 : 25 – 38 .

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