Population Variance Estimation Using Factor Type Imputation Method

Pandey Ranjita () and Yadav Kalpana ()
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Pandey Ranjita: Department of Statistics, University of Delhi, New Delhi, India
Yadav Kalpana: Department of Statistics, University of Delhi, New Delhi, India

Statistics in Transition New Series, 2017, vol. 18, issue 3, 375-392

Abstract: We propose a variance estimator based on factor type imputation in the presence of non-response. Properties of the proposed classes of estimators are studied and their optimality conditions are derived. The proposed classes of facto r type ratio estimators are shown to be more efficient than some of the existing estimators, namely, the usual unbiased estimator of variance, ratio-type, dual to ratio type and ratio cum dual to ratio estimators. Their performances are assessed on the basis of relative efficiencies. Findings are illustrated based on a simulated and real data set.

Keywords: auxiliary information; mean squared error; simple random sampling without replacement (SRSWOR) (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:vrs:stintr:v:18:y:2017:i:3:p:375-392:n:2

DOI: 10.21307/stattrans-2016-076

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