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Author
Singh Housila P. (Vikram University, India), Pal Surya K. (Vikram University, India)
Title
A New Family of Estimators of the Population Variance Using Information on Population Variance of Auxiliary Variable in Sample Surveys
Source
Statistics in Transition, 2016, vol. 17, nr 4, s. 605-630, tab., bibliogr. s. 628-630
Keyword
Estymatory, Dobór zmiennych, Badania statystyczne, Teoria statystyki
Estimators, Variables selection, Statistical surveys, Theory of statistics
Note
summ.
Abstract
This paper proposes a family of estimators of population variance S 2y of the study variable y in the presence of known population variance S 2x of theauxiliary 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. ASM Classification: 62D05. (original abstract)
Accessibility
The Main Library of the Cracow University of Economics
The Library of University of Economics in Katowice
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Bibliography
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ISSN
1234-7655
Language
eng
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