<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The problem of estimating the finite population mean on the samples selected over two occasions has been considered, when there is non-response (i) on both the occasions, (ii) only on the second occasion for both matched and unmatched portions of the sample, and (iii) only on the second occasion for unmatched portion of the sample. For the case when two auxiliary variables are positively and negatively correlated with the study variable, a double sampling ratio-cum-product estimate from the matched portion of the sample is presented. Expressions for optimum matching fraction and of the combined estimate have been derived. The gain in efficiency, the sample sizes and the cost function of the combined estimators over the direct estimate using no information gathered on the first occasion is computed. The comparison between the proposed strategy with other estimators is also carried out. An empirical study is also included for illustration.</p></abstract>

The problem of estimating the finite population mean on the samples selected over two occasions has been considered, when there is non-response (i) on both the occasions, (ii) only on the second occasion for both matched and unmatched portions of the sample, and (iii) only on the second occasion for unmatched portion of the sample. For the case when two auxiliary variables are positively and negatively correlated with the study variable, a double sampling ratio-cum-product estimate from the matched portion of the sample is presented. Expressions for optimum matching fraction and of the combined estimate have been derived. The gain in efficiency, the sample sizes and the cost function of the combined estimators over the direct estimate using no information gathered on the first occasion is computed. The comparison between the proposed strategy with other estimators is also carried out. An empirical study is also included for illustration.

Ratio-cum-product estimation in presence of non-response in successive sampling

Department of Mathematics, University of Almería, Almería, Spain

Journal of Applied Mathematics, Statistics and Informatics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Ratio-cum-product estimation in presence of non-response in successive sampling"}

The problem of estimating the finite population mean on the samples selected over two occasions has been considered, when there is non-response (i) on both the...

Ratio-cum-product estimation in presence of non-response in successive sampling

Publié en ligne: 11 juin 2016

Pages: 55 - 83

DOI: https://doi.org/10.1515/jamsi-2016-0005

Mots clés
Successive sampling, Non-response, Ratio-cum-product estimation, Gain in efficiency

© 2016 Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Ratio-cum-product estimation in presence of non-response in successive sampling

Publié en ligne: 11 juin 2016

Pages: 55 - 83

DOI: https://doi.org/10.1515/jamsi-2016-0005

Mots clésSuccessive sampling, Non-response, Ratio-cum-product estimation, Gain in efficiency

© 2016 Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
Successive sampling, Non-response, Ratio-cum-product estimation, Gain in efficiency