, Volume 30, Issue 1, pp 217–226 | Cite as

On some alternative sampling strategies using auxiliary information

  • D. Adhvaryu
  • P. C. Gupta


Some sampling strategies have been studied in this paper by suitably combining the usual mean per unit estimator, ratio and product estimators. The proposed strategies, to first degree approximation, are as efficient as the conventional linear regression strategy (Srs:\(\bar y_{lr} \)) in the optimum case. Further, these strategies are superior to corresponding ratio or product strategies as long as the difference between the weights used and optimum weights is less than\(|1 \pm \rho \frac{{C_y }}{{C_x }}|/|\lambda _\iota - \lambda _j |\). Under the same conditions these strategies are found superior to the corresponding strategies in two-phase set up also. When the first and second phase samples are drawn independently the proposed strategies, with optimum weights, come out even better than the corresponding linear regression strategy. It is interesting to note that all these findings have similarities with the results ofGupta [1978].


Auxiliary Variable Optimum Weight Product Strategy Phase Sampling Auxiliary Information 
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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  1. Adhvaryu, D.: Combination of some estimators using supplementary information. Jour. Ind. Soc. Agril. Stat.27, 1975, 37–50.Google Scholar
  2. Gupta, P.C.: On some estimation problem in sampling using auxiliary information. Ph.D. Thesis. I.A.R.I. New Delhi 1970.Google Scholar
  3. —: On some quadratic and higher degree ratio and product estimators. Jour. Ind. Soc. Agril. Stat.30, 1978, 71–80.Google Scholar
  4. Konijn, H.S.: Statistical theory of Sample Survey design and analysis. New York 1973.Google Scholar
  5. Murthy, M.N.: Product method of estimation. Sankhyā26(A), 1964, 69–74.MathSciNetzbMATHGoogle Scholar
  6. Shah, S.M., andD.N. Shah, Ratio cum product estimators for estimating ratio (product) of two population parameters. Sankhyā40(C), 1978, 156–166.zbMATHGoogle Scholar
  7. Singh, M.P.: On estimation of ratio and product of population parameters. Sankhyā27(B), 1965, 321–328.MathSciNetGoogle Scholar
  8. —: Ratio cum product method of estimation. Metrika12, 1967, 34–43.MathSciNetCrossRefzbMATHGoogle Scholar
  9. Srivastava, S.K.: An estimator using auxiliary information in sample surveys. Cal. Stat. Assn. Bull.16, 1967, 121–132.MathSciNetGoogle Scholar
  10. —: Generalised estimator for mean of a finite population using multiauxiliary information. JASA66, 1971, 404–407.CrossRefGoogle Scholar
  11. Sukhatme, P.V., andB.V. Sukhatme: Sampling theory of Survey with Applications. New Delhi 1970.Google Scholar

Copyright information

© Physica-Verlag 1983

Authors and Affiliations

  • D. Adhvaryu
    • 1
  • P. C. Gupta
    • 1
  1. 1.Department of Mathematics & StatisticsSouth Gujarat UniversitySuratIndia

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