4.0 Article

A REGRESSION APPROACH TO THE ESTIMATION OF THE FINITE POPULATION MEAN IN THE PRESENCE OF NON-RESPONSE

Journal

AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS
Volume 50, Issue 4, Pages 395-408

Publisher

WILEY-BLACKWELL
DOI: 10.1111/j.1467-842X.2008.00525.x

Keywords

auxiliary variate; product estimator; ratio estimator; regression estimator; study variate

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This paper presents various estimators for estimating the population mean (Y) over bar of the study variable y using information on the auxiliary variable x in the presence of non-response. Properties of the suggested estimators are studied and compared with those of existing estimators. It is shown that the estimators suggested in this paper are among the best of all the estimators considered. An empirical study is carried out to demonstrate the performance of the suggested estimators and of others, and it is found that the empirical results support the theoretical study.

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