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

- Journal title : Communications for Statistical Applications and Methods
- Volume 16, Issue 5, 2009, pp.821-840
- Publisher : The Korean Statistical Society
- DOI : 10.5351/CKSS.2009.16.5.821

Title & Authors

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

Singh, Housila P.; Karpe, Namrata;

Singh, Housila P.; Karpe, Namrata;

Abstract

This article addresses the problem of estimating a family of general population parameter using auxiliary information in the presence of measurement errors. The general results are then applied to estimate the coefficient of variation of the study variable Y using the knowledge of the error variance 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

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