This study proposes some ratio estimators of the population mean under simple random sampling schemes, in order to tackle the problem of

low 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 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 efficiencies than the classical regression estimators and other existing

estimators in simple random sampling scheme.

low 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 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 efficiencies 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 |
---|---|

Konular | Matematik |

Dergi Bölümü | İstatistik |

Yazarlar |

Bibtex | ```
@araştırma makalesi { hujms453614,
journal = {Hacettepe Journal of Mathematics and Statistics},
issn = {2651-477X},
eissn = {2651-477X},
address = {Hacettepe Üniversitesi},
year = {2018},
volume = {47},
pages = {963 - 982},
doi = {},
title = {On the optimal search for efficient 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 efficient 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 efficient 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 <http://dergipark.gov.tr/hujms/issue/38872/453614> |

Chicago | Enang, E , Ekpenyong, E . "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 47 (2018): 963-982 |

RIS | TY - JOUR T1 - On the optimal search for efficient 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 - 2651-477X-2651-477X M3 - UR - Y2 - 2016 ER - |

EndNote | %0 Hacettepe Journal of Mathematics and Statistics On the optimal search for efficient 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 efficient 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 2651-477X-2651-477X %V 47 %N 4 %R %U |

ISNAD | Enang, Ekaette Inyang , Ekpenyong, Emmanuel John . "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 47 / 4 (Ağustos 2018): 963-982. |