Improvement in Estimating the Population Mean in Simple Random Sampling using Coefficient of Skewness of Auxiliary Attribute

Year 2019, Volume: 23 Issue: 1, 108 - 112, 01.04.2019

Tolga Zaman

https://doi.org/10.19113/sdufenbed.451277

Abstract

This
paper suggested a new family of estimators for the population mean in the
simple random sampling using the information of an auxiliary attribute.
Theoretically, the mean square error (MSE) equations were obtained and it was
shown that all the suggested ratio estimators are more efficient than some
known estimators. These results were also supported by two original data sets. 

Keywords

Auxiliary attribute, Efficiency, Ratio estimator, Simple random sampling, Mean square error

Yardımcı Özniteliğin Çarpıklık Katsayısı Kullanılarak Basit Rastgele Örneklemede Kitle Ortalamasının Tahmin Edilmesindeki İyileşme

Abstract

Bu makale, basit rasgele
örneklemede yardımcı öznitelik bilgisini kullanarak popülasyon ortalaması için
yeni bir tahmin edici ailesi önermiştir.
Teorik olarak, önerilen tüm tahmin ediciler için hata kareler ortalaması (HKO)
denklemleri elde edildi ve önerilen tüm oran tahmin edicilerinin bazı bilinen
tahmin edicilerden daha etkin olduğu gösterildi. Bu sonuçlar ayrıca iki orijinal
veri kümesi tarafından desteklendi. 

Keywords

Basit rasgele örnekleme, Yardımcı öznitelik, Hata kareler ortalaması, Etkinlik, Oran tahmini

References

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