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On Conditional Simple Random Sample

Author

Listed:
  • Janusz L. Wywiał

Abstract

Estimation of the population average in a finite and fixed population on the basis of the conditional simple random sampling design dependent on order statistics of the auxiliary variable is studied. The sampling scheme implementing the sampling design is proposed. The inclusion probabilities are derived. The well known Horvitz-Thompson statistic under the conditional simple random sampling designs is considered as the estimator of population mean. Moreover, it was shown that the Horvitz-Thompson estimator under some particular cases of the conditional simple random sampling design is more accurate than the ordinary mean from the simple random sample.

Suggested Citation

  • Janusz L. Wywiał, 2014. "On Conditional Simple Random Sample," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 15(4), pages 525-534, September.
    • Handle: RePEc:csb:stintr:v:15:y:2014:i:4:p:525-534
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    References listed on IDEAS

    as
    1. Janusz Wywiał, 2008. "Sampling design proportional to order statistic of auxiliary variable," Statistical Papers, Springer, vol. 49(2), pages 277-289, April.
    2. Janusz Wywiał, 2003. "On conditional sampling strategies," Statistical Papers, Springer, vol. 44(3), pages 397-419, July.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    simple random sample; conditional sampling design; sampling scheme; inclusion probabilities; auxiliary variable; order statistics;
    All these keywords.

    JEL classification:

    • C83 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Survey Methods; Sampling Methods

    Statistics

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