<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Generalised regression estimation allows one to make use of available auxiliary information in survey sampling. We develop three types of generalised regression estimator when the auxiliary data cannot be matched perfectly to the sample units, so that the standard estimator is inapplicable. The inference remains design-based. Consistency of the proposed estimators is either given by construction or else can be tested given the observed sample and links. Mean square errors can be estimated. A simulation study is used to explore the potentials of the proposed estimators.</p></abstract>

Generalised regression estimation allows one to make use of available auxiliary information in survey sampling. We develop three types of generalised regression estimator when the auxiliary data cannot be matched perfectly to the sample units, so that the standard estimator is inapplicable. The inference remains design-based. Consistency of the proposed estimators is either given by construction or else can be tested given the observed sample and links. Mean square errors can be estimated. A simulation study is used to explore the potentials of the proposed estimators.

Generalised Regression Estimation Given Imperfectly Matched Auxiliary Data

University of Southampton, Social Statistics and Demography

Journal of Official Statistics

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

{"article-title":"Generalised Regression Estimation Given Imperfectly Matched Auxiliary Data"}

Generalised regression estimation allows one to make use of available auxiliary information in survey sampling. We develop three types of generalised...

Generalised Regression Estimation Given Imperfectly Matched Auxiliary Data

Published Online: Mar 13, 2021

Page range: 239 - 255

Received: May 01, 2020

Accepted: Nov 01, 2020

DOI: https://doi.org/10.2478/jos-2021-0010

Keywords
Record linkage, incidence weights, reverse incidence weights

© 2020 Li-Chun Zhang, published by Sciendo

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

Generalised Regression Estimation Given Imperfectly Matched Auxiliary Data

Published Online: Mar 13, 2021

Page range: 239 - 255

Received: May 01, 2020

Accepted: Nov 01, 2020

DOI: https://doi.org/10.2478/jos-2021-0010

KeywordsRecord linkage, incidence weights, reverse incidence weights

© 2020 Li-Chun Zhang, published by Sciendo

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

Keywords
Record linkage, incidence weights, reverse incidence weights