On Conditional Simple Random Sample

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

Abstracts

EN

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.

Keywords

EN

simple random sample; conditional sampling design; sampling scheme; inclusion probabilities; auxiliary variable; order statistics

• Publisher: Główny Urząd Statystyczny
• Journal: Statistics in Transition new series
• Year: 2014
• Volume: 15
• Issue: 4
• Pages: 525–534

Contributors

author

Janusz L. Wywiał

• Department of Statistics, University of Economics in Katowice, 1 Maja 50, 40-287 Katowice, Poland

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