A New Family of Estimators of the Population Variance using Information on Population Variance of Auxiliary Variable in Sample Surveys

Singh Housila P. and Pal Surya K. ()
Additional contact information
Singh Housila P.: School of Studies in Statistics, Vikram University, Ujjain, - 456010, M.P., India
Pal Surya K.: School of Studies in Statistics, Vikram University, Ujjain, - 456010, M.P., India

Statistics in Transition New Series, 2016, vol. 17, issue 4, 605-630

Abstract: This paper proposes a family of estimators of population variance S2y of the study variable y in the presence of known population variance S2x of the auxiliary variable x. It is identified that in addition to many, the recently proposed classes of estimators due to Sharma and Singh (2014) and Singh and Pal (2016) are members of the proposed family of estimators. Asymptotic expressions of bias and mean squared error (MSE) of the suggested family of estimators have been obtained. Asymptotic optimum estimator (AOE) in the family of estimators is identified. Some subclasses of estimators of the proposed family of estimators have been identified along with their properties. We have also given the theoretical comparisons among the estimators discussed in this paper.

Keywords: Auxiliary variable; Study variable; Bias; Mean squared error; Efficiency comparison (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://doi.org/10.21307/stattrans-2016-043 (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:vrs:stintr:v:17:y:2016:i:4:p:605-630:n:6

DOI: 10.21307/stattrans-2016-043

Access Statistics for this article

Statistics in Transition New Series is currently edited by Włodzimierz Okrasa

More articles in Statistics in Transition New Series from Statistics Poland
Bibliographic data for series maintained by Peter Golla ().