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Metrika

, Volume 25, Issue 1, pp 149–153 | Cite as

Comparison of sampling strategies

  • A. M. Pedgaonkar
  • S. G. Prabhu-Ajgaonkar
Article

Summary

Horvitz andThompson [1952] considered varying probability sampling method in general and furnished an unbiased estimator of the population total.Rao, Hartley andCochran [1962] proposed a simple procedure of unequal probability sampling with replacement. It leads to an estimator of the population total having smaller variance than is obtained by sampling with replacement. An attempt has been made in the present paper to compare efficiencies ofHorvitz-Thompson's estimator with that due toRao, hartley andCochran. It is demonstrated that the generalized πps sampling strategy consisting of the design with π i , the probability of inclusion of thei-th population unit in the sample proportional to the modified size together withHorvitz-Thompson's estimator is superior toRao, Hartley andCochran's sampling strategy under a general super-population model.

Keywords

Stochastic Process Population Total Sampling Method Probability Theory Economic Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Cochran, W.G.: Relative accuracy of systematic and stratified random samples for a certain class of populations. Ann. Math. Statist.17, 1946, 164–177.Google Scholar
  2. Godambe, V.P.: A unified theory of sampling from finite populations. J. Roy. Statist. Soc. B-17, 1955, 269–278.Google Scholar
  3. Hajek, J.: Optimum Strategy and other problems in probability sampling. Casopis. Pest. mat.84, 1954, 387–423.Google Scholar
  4. Horvitz, D.G., andD.J. Thompson: A generalization of sampling without replacement from a finite universe. J. Amer. Statist. Assoc.47, 1952, 663–685.Google Scholar
  5. Rao, J.N.K., H.O. Hartley, andW.G. Cochran: On a simple procedure of unequal probability sampling without replacement, J. Roy. Statist. Soc. B-24, 1962, 482–491.Google Scholar
  6. Rao, T.J.: πps sampling designs and Horvitz-Thompson estimator. J. Amer. Statist. Assoc.66, 1971, 872–875.Google Scholar

Copyright information

© Physica-Verlag Rudolf Liebing KG 1978

Authors and Affiliations

  • A. M. Pedgaonkar
    • 1
  • S. G. Prabhu-Ajgaonkar
    • 1
  1. 1.Department of Mathematics and StatisticsMarathwada UniversityAurangabadIndia

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