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Application of order statistics of auxiliary variable to estimation of the population mean

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  • Janusz L. Wywiał

Abstract

Estimation of the population average in a finite population by means of sampling strategies dependent on an auxiliary variable highly correlated with a variable under study is considered. The sample is drawn with replacement on the basis of the probability distribution of an order statistic of the auxiliary variable. Observations of the variable under study are the values of the concomitant of the order statistic. The mean of the concomitant values is the estimator of a population mean of the variable under study. The expected value and the variance of the estimator are derived. The limit distributions of the considered estimators were considered. Finally, on the basis of simulation analysis, the accuracy of the estimator is considered.

Suggested Citation

  • Janusz L. Wywiał, 2012. "Application of order statistics of auxiliary variable to estimation of the population mean," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 13(2), pages 279-286, June.
    • Handle: RePEc:csb:stintr:v:13:y:2012:i:2:p:279-286
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    References listed on IDEAS

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    1. Janusz Wywiał, 2008. "Sampling design proportional to order statistic of auxiliary variable," Statistical Papers, Springer, vol. 49(2), pages 277-289, April.
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