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

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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