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On interpenetrating samples of unequal sizes

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Summary

Koop [1967] proved that interpenetrating samples of unequal sizes are more efficient than those with equal sizes for estimating a finite population total. After observing that there is a serious lacuna present in his proof, a correct proof has been suggested. The optimum choice of individual sample sizes has also been discussed for a given (i) total sample size, (ii) cost and (iii) precision, with an assumed cost structure. Finally, the resulting estimators have been compared with those based on a single sample.

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References

  • Des Raj: Sampling Theory. Tata-Bombay-New Delhi 1968.

  • Koop, J.C.: Replicated (or interpenetrating) samples of unequal sizes. Ann. Math. Stat.38, 1967. 1142–1147.

    Google Scholar 

  • Midzuno, H.: On the sampling system with probability proportional to sum of sizes. Ann. Inst. Stat. Math.3, 1952, 99–107.

    Google Scholar 

  • Mukhopadhyay, P.: πPS sampling schemes to base HTE. Bull. Cal. Stat. Assoc.23, 1974, 21–44.

    Google Scholar 

  • Rao, J.N.K., H.O. Hartley andW.G. Cochran. On a simple procedure of unequal probability sampling without replacement. Jour. Roy. Stat. Soc., B24, 1962, 482–491.

    Google Scholar 

  • Sengupta, S.: On interpenetrating samples of equal and unequal sizes. Bull. Cal. Stat. Assoc.30, 1981, 187–197.

    Google Scholar 

  • Singh, R., andM.L. Bansal: On the efficiency of interpenetraling sub-samples in simple random sampling. Sankhyã, C37, 1975, 190–198.

    Google Scholar 

  • —: A note on the efficiency of interpenetraling sub-samples in simple random sampling. Sankhyã, C40, 1978, 174–176.

    Google Scholar 

  • Singh, R., andB. Singh: On replicated samples drawn with Rao, Hartley and Chochran's scheme. Sankhyã, C36, 1974, 147–150.

    Google Scholar 

  • Srikantan, K.S.: A note on interpenetraling sub-samples of unequal sizes. Sankhyã, B25, 1963, 345–350.

    Google Scholar 

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Sengupta, S. On interpenetrating samples of unequal sizes. Metrika 29, 175–188 (1982). https://doi.org/10.1007/BF01893377

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  • DOI: https://doi.org/10.1007/BF01893377

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