An Improvement in Estimating the Population Mean Based on Family of Estimators with Different Application Areas

Ceren Ünal; Cem Kadılar

Makale detayları

An Improvement in Estimating the Population Mean Based on Family of Estimators with Different Application Areas

Yazarlar:

Ceren Ünal | Cem Kadılar

Yayıncı:

Gazi University

Ana Başlıklar:

Theory of Sampling

Dergi:

Gazi University Journal of Science Part A: Engineering and Innovation Vol.10 Issue 4, pp.402-416

Belge Tipi:

Makale

Yayın Tarihi:

12/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001309087

pISSN:

2147-9542

Anahtar kelimeler:

Özet:

 In a sampling study, the complete information for the necessary variables may not always be available in practice. Therefore, the non-response situation has been considered for estimating the unknown population parameters with different types of estimators. The families of estimators are proposed for the population mean in the case of non-response under two different cases with the approach of an exponential function. Their properties are derived in detail. We compare these estimators with the main estimators in the literature to present the efficiencies, theoretically. Moreover, the three different empirical studies are illustrated and, in that way, we found that the theoretical conclusion is supported by the obtained results numerically for each data set.

 In a sampling study, the complete information for the necessary variables may not always be available in practice. Therefore, the non-response situation has been considered for estimating the unknown population parameters with different types of estimators. The families of estimators are proposed for the population mean in the case of non-response under two different cases with the approach of an exponential function. Their properties are derived in detail. We compare these estimators with the main estimators in the literature to present the efficiencies, theoretically. Moreover, the three different empirical studies are illustrated and, in that way, we found that the theoretical conclusion is supported by the obtained results numerically for each data set.

 In a sampling study, the complete information for the necessary variables may not always be available in practice. Therefore, the non-response situation has been considered for estimating the unknown population parameters with different types of estimators. The families of estimators are proposed for the population mean in the case of non-response under two different cases with the approach of an exponential function. Their properties are derived in detail. We compare these estimators with the main estimators in the literature to present the efficiencies, theoretically. Moreover, the three different empirical studies are illustrated and, in that way, we found that the theoretical conclusion is supported by the obtained results numerically for each data set.

 In a sampling study, the complete information for the necessary variables may not always be available in practice. Therefore, the non-response situation has been considered for estimating the unknown population parameters with different types of estimators. The families of estimators are proposed for the population mean in the case of non-response under two different cases with the approach of an exponential function. Their properties are derived in detail. We compare these estimators with the main estimators in the literature to present the efficiencies, theoretically. Moreover, the three different empirical studies are illustrated and, in that way, we found that the theoretical conclusion is supported by the obtained results numerically for each data set.

Makale detayları

An Improvement in Estimating the Population Mean Based on Family of Estimators with Different Application Areas

Yazarlar:

Ceren Ünal | Cem Kadılar

Yayıncı:

Gazi University

Ana Başlıklar:

Theory of Sampling

Dergi:

Gazi University Journal of Science Part A: Engineering and Innovation Vol.10 Issue 4, pp.402-416

Belge Tipi:

Makale

Yayın Tarihi:

12/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001309087

pISSN:

2147-9542

Population Mean

Family of Estimators

Auxiliary Information

Non-Response

Efficiency

Sayı

Makale detayları

An Improvement in Estimating the Population Mean Based on Family of Estimators with Different Application Areas

Yazarlar: Ceren Ünal | Cem Kadılar

Yayıncı: Gazi University

Ana Başlıklar: Theory of Sampling

Dergi: Gazi University Journal of Science Part A: Engineering and Innovation Vol.10 Issue 4, pp.402-416

Belge Tipi: Makale

Yayın Tarihi: 12/2023

Belge Dili: İngilizce

Document ID (Org No.): 2001309087

pISSN: 2147-9542

Population Mean

Family of Estimators

Auxiliary Information

Non-Response

Efficiency

Sayı

Yazarlar:

Ceren Ünal | Cem Kadılar

Yayıncı:

Gazi University

Ana Başlıklar:

Theory of Sampling

Dergi:

Gazi University Journal of Science Part A: Engineering and Innovation Vol.10 Issue 4, pp.402-416

Belge Tipi:

Makale

Yayın Tarihi:

12/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001309087

pISSN:

2147-9542