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

Makale detayları

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

Yazarlar:

Ekaette İnyang ENANG | Emmanuel John EKPENYONG

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2018 Vol.47 Issue 4, pp.963-982

Belge Tipi:

Makale

Yayın Tarihi:

7/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000451893

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

Özet:

 

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.

Makale detayları

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

Yazarlar: Ekaette İnyang ENANG | Emmanuel John EKPENYONG

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2018 Vol.47 Issue 4, pp.963-982

Belge Tipi: Makale

Yayın Tarihi: 7/2018

Belge Dili: İngilizce

Document ID (Org No.): 2000451893

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

Sayı

Yazarlar:

Ekaette İnyang ENANG | Emmanuel John EKPENYONG

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2018 Vol.47 Issue 4, pp.963-982

Belge Tipi:

Makale

Yayın Tarihi:

7/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000451893

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X