Cevapsızlık olması ve olmaması durumlarında sistematik örneklemede ortalama tahmini

Year 2017, Volume: 10 Issue: 1, 23 - 39, 25.06.2017

Usman Shahzad Muhammad Hanif Nursel Koyuncu Amelia Victoria Garcia Luengo

Abstract

Bu çalışmada cevapsızlık varlığında ve yokluğunda sistematik örneklem ortalamasının tahmini için dönüşüm yapılmış yardımcı değişkenler kullanılarak iki yeni tahmin edici sınıfı önerildi. Yan ve hata karaler ortalamalarının matematiksel formülleri bulundu. Ayrıca önerilen tahmin edicilerin performansını göstermek için sayısal bir örnek yapılmıştır.Sayısal çalışma sonucunda, önerilen tahmin ediciler sistematik örneklemede genel örneklem ortalamasından, regresyon tahmin edicisinden, Singh and Solanki [8], Singh et al. [9], Swain [11] ve Koyuncu [3] tahmin edicilerinden daha iyi sonuç vermiştir

Keywords

Sistematik rasgele örnekleme; Yardımcı bilgi, Yan, Göreli etkinlik

Estimation of population mean under systematic random sampling in absence and presence non-response

Abstract

In this article, we propose two new classes of estimator using transformed auxiliary variables for the estimation of systematic sample mean in absence and presence of non-response. The mathematical expressions of biases and mean square errors are determined. A numerical illustration is also performed to illustrate the performance of the proposed estimators. Based on the numerical study, the proposed estimator performs better than the usual sample estimator, regression estimator, Singh and Solanki [8], Singh et al. [9], Swain [11] and Koyuncu [3] estimators in systematic sampling.

Keywords

Systematic random sampling, Supplementary information, Bias, Relative efficiency.

References

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