A General Procedure for Estimating the General Parameter Using Auxiliary Information in Presence of Measurement Errors

Title & Authors
A General Procedure for Estimating the General Parameter Using Auxiliary Information in Presence of Measurement Errors
Singh, Housila P.; Karpe, Namrata;

Abstract
This article addresses the problem of estimating a family of general population parameter $\small{{\theta}_{({\alpha},{\beta})}}$ using auxiliary information in the presence of measurement errors. The general results are then applied to estimate the coefficient of variation $\small{C_Y}$ of the study variable Y using the knowledge of the error variance $\small{{\sigma}^2{_U}}$ associated with the study variable Y, Based on large sample approximation, the optimal conditions are obtained and the situations are identified under which the proposed class of estimators would be better than conventional estimator. Application of the main result to bivariate normal population is illustrated.
Keywords
Study variate;auxiliary variate;measurement errors;coefficient of variation(CV);bias and mean square error;
Language
English
Cited by
1.
Finite Population Variance Estimation in Presence of Measurement Errors, Communications in Statistics - Theory and Methods, 2012, 41, 23, 4302
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