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Estimation of Mean, Ratio and Product Using Auxiliary Information in the Presence of Measurement Errors in Sample Surveys

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Abstract

For estimating the mean, ratio and product we have considered the estimation of general parameter R(α)(= μY0/μY 1(α),μY1 ≠ 0) using the information on an auxiliary variable X whose population mean μX is assumed to be known, in the presence of measurement errors, where μY0 and μY1 are the population means of the study variables Y0 and Y1 respectively; α being a scalar takes values,1 (for population ratio R = μY0/μY1), −1 (for population product P = μY0μY1), and 0 (for population mean μY0). A class of estimators for estimating the general parameter R(α) has been defined and asymptotic expressions for its bias and mean squared error (MSE) have been obtained. A comparative study has been made among the proposed estimators and the conventional estimators Numerical illustration is given in support of the present study.

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  1. School of Studies in Statistics, Vikram University, Ujjain, 456010, M.P., India

    Housila P. Singh & Namrata Karpe

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  1. Housila P. Singh
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  2. Namrata Karpe
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Correspondence to Housila P. Singh.

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Singh, H.P., Karpe, N. Estimation of Mean, Ratio and Product Using Auxiliary Information in the Presence of Measurement Errors in Sample Surveys. J Stat Theory Pract 4, 111–136 (2010). https://doi.org/10.1080/15598608.2010.10411976

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  • DOI: https://doi.org/10.1080/15598608.2010.10411976

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