Ratio Cum Regression Estimator for Estimating a Population Mean with a Sub Sampling of Non Respondents

- Journal title : Communications for Statistical Applications and Methods
- Volume 19, Issue 5, 2012, pp.663-671
- Publisher : The Korean Statistical Society
- DOI : 10.5351/CKSS.2012.19.5.663

Title & Authors

Ratio Cum Regression Estimator for Estimating a Population Mean with a Sub Sampling of Non Respondents

Kumar, Sunil;

Kumar, Sunil;

Abstract

In the present study, a combined ratio cum regression estimator is proposed to estimate the population mean of the study variable in the presence of a non-response using an auxiliary variable under double sampling. The expressions of bias and mean squared error(MSE) based on the proposed estimator is derived under double (or two stage) sampling to the first degree of approximation. Some estimators are also derived from the proposed class by allocating the suitable values of constants used. A comparison of the proposed estimator with the usual unbiased estimator and other derived estimators is carried out. An empirical study is carried out to demonstrate the performance of the suggested estimator and of others; it is endow that the empirical results backing the theoretical study.

Keywords

Study variable;auxiliary variable;ratio estimator;regression estimator;mean squared error;double sampling;non-response;

Language

English

Cited by

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