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Theory and Method

On Inadmissibility of the Yates-Grundy Variance Estimator in Unequal Probability Sampling

Pages 709-712 | Received 01 Feb 1979, Published online: 12 Mar 2012

References

  • Ajgaonkar , S. G. P. 1967 . “Unbiased Estimators of the Variance of Narain, Horvitz and Thompson Estimator,” . Sankhyā , 29 : 55 – 60 . Ser. A
  • Godambe , V. P. and Joshi , V. M. 1965 . “Admissibility and Bayes Estimation in Sampling Finite Population—I,” . Annals of Mathematical Statistics , 36 : 1707 – 1722 .
  • Horvitz , D. G. and Thompson , D. J. 1952 . “A Generalization of Sampling Without Replacement From a Finite Universe,” . Journal of the American Statistical Association , 47 : 663 – 685 .
  • Joshi , V. M. 1970 . “Note on the Admissibility of the Sen-Yates-Grundy Estimator and Murthy's Estimator and Its Variance Estimator for Samples of Size Two,” . Sankhyā , 32 : 431 – 438 . Ser. A
  • Lanke , J. 1974 . “On Nonnegative Variance Estimation in Sample Surveys,” . Sankhyā , 36 : 33 – 42 . Ser. C
  • Vijayan , K. 1975 . “On Estimating the Variance in Unequal Probability Sampling,” . Journal of the American Statistical Association , 70 : 713 – 716 .
  • Yates , F. and Grundy , P. M. 1953 . “Selection Without Replacement From Within Strata With Probability Proportional to Size,” . Journal of the Royal Statistical Society , 15 : 253 – 261 . Ser. B

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