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The Journal of Operations Research, Statistics, Econometrics and Management Information Systems
Modified Exponential Type Estimator for Population Mean Using Auxiliary Variables In Stratified Random Sampling
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Abstract
In this paper, a new exponential type estimator is developed in the stratified random sampling for the population mean using auxiliary variable information. In order to evaluate efficiency of the introduced estimator, we first review some estimators and study the optimum property of the suggested strategy. To judge the merits of the suggested class of estimators over others under the optimal condition, simulation study and real data applications are conducted. The results show that the introduced estimator is more efficient than the available ratio and product estimators, and the conventional unbiased estimator of stratified simple random sampling design.
Keywords: Auxiliary Information, Efficiency, Exponential Type Estimates, Mean Squared Error, Stratified Random Sampling
Jel Classification: C10
Tabakalı Rasgele Örneklemede Yardımcı Değişkenler Kullanarak Kitle Ortalaması İçin Değiştirilmiş Üstel Tip Tahmin Edici
Öz
Bu çalışmada, kitle ortalaması için yardımcı değişken bilgisi kullanarak yeni bir üstel tip tahmin edici tabakalı örneklemede geliştirilmiştir. Elde edilen tahmin edicinin etkinliğini değerlendirebilmek için, ilk olarak literatürdeki bazı tahmin ediciler incelenmiş ve önerilen stratejinin optimum özelliği incelenmiştir. Önerilen tahmin edicinin özelliğini değerlendirebilmek için optimallik koşulu altında benzetim çalışması ve gerçek veri uygulamaları yapılmıştır. Sonuçlar elde edilen tahmin edicinin var olan oran ve çarpım tahmin edicilerinden ve tabakalı örnekleme düzeninde yansız tahmin ediciden daha etkin olduğunu göstermiştir.
Anahtar Kelimeler: Etkinlik, Hata Kareler Ortalaması, Tabakalı Rasgele Örnekleme, Yardımcı Değişken, Üstel Tip Tahmin Ediciler
Suggested citation
(). Modified Exponential Type Estimator for Population Mean Using Auxiliary Variables In Stratified Random Sampling. Alphanumeric Journal, 3(2), 49-56. http://dx.doi.org/10.17093/aj.2015.3.2.5000145484
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2015.03.02.STAT.03
alphanumeric journal
Pages 49-56
Received: Sept. 30, 2015
Accepted: Dec. 25, 2015
Published: Dec. 31, 2015
2015 Özel, G.
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