AN EFFICIENT FAMILY OF RATIO-CUM-PRODUCT ESTIMATORS FOR FINITE POPULATION MEAN IN SAMPLE SURVEYS

Housila P. SİNGH; Anita YADAV

Article Details

AN EFFICIENT FAMILY OF RATIO-CUM-PRODUCT ESTIMATORS FOR FINITE POPULATION MEAN IN SAMPLE SURVEYS

Authors:

Housila P. SİNGH | Anita YADAV

Publisher:

Başbakanlık

Journal:

Istatistik Journal of The Turkish Statistical Association 2018 Vol.11 Issue 1-2, pp.1-45

Document Type:

Article

Publication Date:

12/2017

Document Language:

English

Document ID (Org No.):

2000709921

Frequency:

Bi-Annual

pISSN:

1300-4077

Abstract:

 

This paper considers the problem of estimating the finite population mean ¯YY¯\bar{Y}  of the study variable using information on two auxiliary variables (x,z)(x,z)(x,z) . A family of ratio-cum-product estimators for population mean ¯YY¯\bar{Y}  has been suggested. It has been shown that the usual unbiased estimator ¯yy¯\bar{y} , ratio estimator, product estimator, dual to ratio estimator and dual to product estimator due to Srivenkatramana (1980) and Bandyopadhyaya (1980), Singh et al's (2005, 2011) estimator, Tailor et al's (2012) estimator, Vishwakarma et al's (2014) estimator and  Vishwakarma and Kumar (2015) estimator are members of the suggested family of estimators. In addition to these estimators, various unknown estimators are shown to be the member of the suggested family of estimators. The bias and mean squared error of the proposed family are obtained under large sample approximation. Efficiency comparisons are made to demonstrate the performance of the suggested family over other existing estimators. An empirical study is carried out in support of the present study.

Article Details

AN EFFICIENT FAMILY OF RATIO-CUM-PRODUCT ESTIMATORS FOR FINITE POPULATION MEAN IN SAMPLE SURVEYS

Authors: Housila P. SİNGH | Anita YADAV

Publisher: Başbakanlık

Journal: Istatistik Journal of The Turkish Statistical Association 2018 Vol.11 Issue 1-2, pp.1-45

Document Type: Article

Publication Date: 12/2017

Document Language: English

Document ID (Org No.): 2000709921

Frequency: Bi-Annual

pISSN: 1300-4077

Issues

Authors:

Housila P. SİNGH | Anita YADAV

Publisher:

Başbakanlık

Journal:

Istatistik Journal of The Turkish Statistical Association 2018 Vol.11 Issue 1-2, pp.1-45

Document Type:

Article

Publication Date:

12/2017

Document Language:

English

Document ID (Org No.):

2000709921

Frequency:

Bi-Annual

pISSN:

1300-4077