Estimation of the Population Mean in Presence of Non-Response

- Journal title : Communications for Statistical Applications and Methods
- Volume 18, Issue 4, 2011, pp.537-548
- Publisher : The Korean Statistical Society
- DOI : 10.5351/CKSS.2011.18.4.537

Title & Authors

Estimation of the Population Mean in Presence of Non-Response

Kumar, Sunil; Bhougal, Sandeep;

Kumar, Sunil; Bhougal, Sandeep;

Abstract

In this paper following Singh et al. (2008), we propose a modified ratio-product type exponential estimator to estimate the finite population mean of the study variable y in presence of non-response in different situations viz. (i) population mean is known, and (ii) population mean is unknown. The expressions of biases and mean squared error of the proposed estimators have been obtained under large sample approximation using single as well as double sampling. Some realistic conditions have been obtained under which the proposed estimator is more efficient than usual unbiased estimators, ratio estimators, product estimators and exponential ratio and product estimators reported by Rao (1986) and Singh et al. (2010) are found to be more efficient in many situations.

Keywords

Study variable;auxiliary variable;bias;mean squared error;exponential estimator;non-response;

Language

English

Cited by

1.

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