Use of Auxiliary Information in Estimating the Finite Population Mean in Survey Sampling

Singh Housila P. () and Bhayare Unnati
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Singh Housila P.: School of Studies in Statistics, Vikram University, Ujjain-456010, M. P., India.
Bhayare Unnati: School of Studies in Statistics, Vikram University, Ujjain-456010, M. P., India.

Stochastics and Quality Control, 2011, vol. 26, issue 1, 23-39

Abstract: This paper considers the problem of estimating the mean μY of a finite population of the study variable Y using information on an auxiliary variable X. Motivated by Singh and Ruiz Espejo two classes of estimators (product-to-product and ratio-to-ratio) are proposed and their properties under large sample approximation are derived. Double sampling versions of the suggested classes of estimators are also presented. Numerical studies are used to demonstrate the performance of the suggested estimators compared with other estimators.

Keywords: Study Variable; Auxiliary Variable; Random Sampling Without Replacement; Population Mean; Bias; Mean Square Error (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1515/eqc.2011.003

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