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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 4

On the optimal search for efficient estimators of population mean in simple random sampling in the presence of an auxiliary variable

Ekaette İnyang ENANG
Emmanuel John EKPENYONG
Sayfa
963–982
Yayın Tarihi
2018-08-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

It is observed that some existing estimators are members of this class of estimators of population mean.Analytical and numerical results indicate that, the Asymptotic Optimal Estimator (AOE) of these proposed estimators of population mean using single auxiliary variable have been found to exhibit greater gains in efficiencies than the classical regression estimators and other existingestimators in simple random sampling scheme.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This study proposes some ratio estimators of the population mean under simple random sampling schemes, in order to tackle the problem oflow efficiencies of some existing estimators.
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Temel Bulgular & Veri:An improved exponential ratio estimator of the population mean under simple random sampling scheme and its bias and mean square error have been derived.
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Sonuç & Katkı:It is observed that some existing estimators are members of this class of estimators of population mean.Analytical and numerical results indicate that, the Asymptotic Optimal Estimator (AOE) of these proposed estimators of population mean using single auxiliary variable have been found to exhibit greater gains in efficiencies than the classical regression estimators and other existingestimators in simple random sampling scheme.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Ratio estimators · Efficiency · Asymptotic Optimal Estimators(AOE)

Abstract

This study proposes some ratio estimators of the population mean under simple random sampling schemes, in order to tackle the problem oflow efficiencies of some existing estimators. An improved exponential ratio estimator of the population mean under simple random sampling scheme and its bias and mean square error have been derived. Further propositions of a generalized form of the exponential ratio estimator ofthe population mean under simple random sampling scheme has also been made. The Bias and Mean Square Errors of these class of estimators have also been obtained. It is observed that some existing estimators are members of this class of estimators of population mean.Analytical and numerical results indicate that, the Asymptotic Optimal Estimator (AOE) of these proposed estimators of population mean using single auxiliary variable have been found to exhibit greater gains in efficiencies than the classical regression estimators and other existingestimators in simple random sampling scheme.

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Bu Makaleye Atıf Yap

ENANG, E. İ., EKPENYONG, E. J. (2018). On the optimal search for efficient estimators of population mean in simple random sampling in the presence of an auxiliary variable. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 4, 963–982. https://ajindex.com/articles/669441

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