Yıl 2018, Cilt 47, Sayı 4, Sayfalar 963 - 982 2018-08-01
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## On the optimal search for efficient estimators of population mean in simple random sampling in the presence of an auxiliary variable

#### Ekaette Inyang Enang [1] , Emmanuel John Ekpenyong [2]

##### 13 25

This study proposes some ratio estimators of the population mean under simple random sampling schemes, in order to tackle the problem of
low efficiencies 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 of
the 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 efficiencies than the classical regression estimators and other existing
estimators in simple random sampling scheme.
Ratio estimators, Efficiency, Asymptotic Optimal Estimators(AOE), generalized exponential estimators, population mean
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Birincil Dil en Matematik İstatistik Yazar: Ekaette Inyang Enang (Sorumlu Yazar) Yazar: Emmanuel John Ekpenyong
 Bibtex @araştırma makalesi { hujms453614, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {1303-5010}, address = {Hacettepe Üniversitesi}, year = {2018}, volume = {47}, pages = {963 - 982}, doi = {}, title = {On the optimal search for efficient estimators of population mean in simple random sampling in the presence of an auxiliary variable}, key = {cite}, author = {Ekpenyong, Emmanuel John and Enang, Ekaette Inyang} } APA Enang, E , Ekpenyong, E . (2018). On the optimal search for efficient estimators of population mean in simple random sampling in the presence of an auxiliary variable. Hacettepe Journal of Mathematics and Statistics, 47 (4), 963-982. Retrieved from http://dergipark.gov.tr/hujms/issue/38872/453614 MLA Enang, E , Ekpenyong, E . "On the optimal search for efficient estimators of population mean in simple random sampling in the presence of an auxiliary variable". Hacettepe Journal of Mathematics and Statistics 47 (2018): 963-982 Chicago Enang, E , Ekpenyong, E . "On the optimal search for efficient estimators of population mean in simple random sampling in the presence of an auxiliary variable". Hacettepe Journal of Mathematics and Statistics 47 (2018): 963-982 RIS TY - JOUR T1 - On the optimal search for efficient estimators of population mean in simple random sampling in the presence of an auxiliary variable AU - Ekaette Inyang Enang , Emmanuel John Ekpenyong Y1 - 2018 PY - 2018 N1 - DO - T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 963 EP - 982 VL - 47 IS - 4 SN - 1303-5010- M3 - UR - Y2 - 2016 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics On the optimal search for efficient estimators of population mean in simple random sampling in the presence of an auxiliary variable %A Ekaette Inyang Enang , Emmanuel John Ekpenyong %T On the optimal search for efficient estimators of population mean in simple random sampling in the presence of an auxiliary variable %D 2018 %J Hacettepe Journal of Mathematics and Statistics %P 1303-5010- %V 47 %N 4 %R %U ISNAD Enang, Ekaette Inyang , Ekpenyong, Emmanuel John . "On the optimal search for efficient estimators of population mean in simple random sampling in the presence of an auxiliary variable". Hacettepe Journal of Mathematics and Statistics 47 / 4 (Ağustos 2018): 963-982.