Application of Order Statistics of Auxiliary Variable to Estimation the Population Mean

• Authors: Wywiał Janusz L.
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

Order statistic; sample quantile; auxiliary variable; sampling scheme; sampling design; concomitant

• Publisher: Główny Urząd Statystyczny
• Journal: Statistics in Transition new series
• Year: 2012
• Volume: 13
• Issue: 2
• Pages: 279-286

Contributors

author

Wywiał Janusz L.

• Katowice University of Economics

References

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