<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In surveys covering human populations it is observed that information in most cases are not obtained at the first attempt even after some callbacks. Such problems come under the category of non-response. Surveys suffer with non-response in various ways. It depends on the nature of required information, either surveys is concerned with general or sensitive issues of a society. <xref ref-type="bibr" rid="j_jamsi-2016-0006_ref_003_w2aab2b8b4b1b7b1ab1ab3Aa">Hansen and Hurwitz (1946)</xref> have considered the problem of non-response while estimating the population mean by taking a subsample from the non-respondent group with the help of extra efforts and an estimator was suggested by combining the information available from the response and nonresponse groups. We also mention that in survey sampling auxiliary information is commonly used to improve the performance of an estimator of a quantity of interest. For estimating the population mean using auxiliary information in presence of non-response has been discussed by various authors. In this paper, we have developed estimators for estimating the population mean of the variable under interest when there is non-response error in the study as well as in the auxiliary variable. We have studied properties of the suggested estimators under large sample approximation. Comparison of the suggested estimators with usual unbiased estimator reported by <xref ref-type="bibr" rid="j_jamsi-2016-0006_ref_003_w2aab2b8b4b1b7b1ab1ab3Aa">Hansen and Hurwitz (1946)</xref> and the ratio estimator due to <xref ref-type="bibr" rid="j_jamsi-2016-0006_ref_011_w2aab2b8b4b1b7b1ab1ac11Aa">Rao (1986)</xref> have been made. The results obtained are illustrated with aid of an empirical study.</p></abstract>

In surveys covering human populations it is observed that information in most cases are not obtained at the first attempt even after some callbacks. Such problems come under the category of non-response. Surveys suffer with non-response in various ways. It depends on the nature of required information, either surveys is concerned with general or sensitive issues of a society. Hansen and Hurwitz (1946) have considered the problem of non-response while estimating the population mean by taking a subsample from the non-respondent group with the help of extra efforts and an estimator was suggested by combining the information available from the response and nonresponse groups. We also mention that in survey sampling auxiliary information is commonly used to improve the performance of an estimator of a quantity of interest. For estimating the population mean using auxiliary information in presence of non-response has been discussed by various authors. In this paper, we have developed estimators for estimating the population mean of the variable under interest when there is non-response error in the study as well as in the auxiliary variable. We have studied properties of the suggested estimators under large sample approximation. Comparison of the suggested estimators with usual unbiased estimator reported by Hansen and Hurwitz (1946) and the ratio estimator due to Rao (1986) have been made. The results obtained are illustrated with aid of an empirical study.

Finite Population Mean Estimation through a Two-Parameter Ratio Estimator Using Auxiliary Information in Presence of Non-Response

School of Studies in Statistics, Vikram University, Ujjain-456010, M.P.,

Journal of Applied Mathematics, Statistics and Informatics

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

In surveys covering human populations it is observed that information in most cases are not obtained at the first attempt even after some callbacks. Such...

Finite Population Mean Estimation through a Two-Parameter Ratio Estimator Using Auxiliary Information in Presence of Non-Response

Published Online: Dec 30, 2016

Page range: 5 - 39

DOI: https://doi.org/10.1515/jamsi-2016-0006

Keywords
Study variable, Auxiliary variable, Non-response, Variance, 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.

Finite Population Mean Estimation through a Two-Parameter Ratio Estimator Using Auxiliary Information in Presence of Non-Response

Published Online: Dec 30, 2016

Page range: 5 - 39

DOI: https://doi.org/10.1515/jamsi-2016-0006

KeywordsStudy variable, Auxiliary variable, Non-response, Variance, 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.

Keywords
Study variable, Auxiliary variable, Non-response, Variance, Efficiency