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A general class of chain estimators for ratio and product of two means of a finite population |
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| Authors: | Vijay K Singh Hari P Singh Housila P Singh D Shukla |
| Institution: | 1. Department of Statistics , Banaras Hindu University , Varanasi, 221 005, India;2. School of Studies in Statistics , Vikram University , Ujjain, India;3. School of Statistics , Devi Ahilya University , Indore, India |
| Abstract: | This paper proposes a class of estimators for estimating ratio and product of two means of a finite population using information on two auxiliary characters. Asymptotic expression to terms of order 0(n-1) for bias and mean square error (MSE) of the proposed class of estimators are derived. Optimum conditions are obtained under which the proposed class of estimators has the minimum MSE. An empirical study is carried out to compare the performance of various estimators of ratio with the conventional estimators. |
| Keywords: | Double sampling auxiliary character asymptotic bias and mean square error |