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On combining independent probability samples
Swedish Univ Agr Sci, Umeå.
Swedish Univ Agr Sci, Umeå; Umeå Univ, Umeå.
Mid Sweden University, Faculty of Science, Technology and Media, Department of Natural Sciences.
Umeå Univ, Umeå.
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2019 (English)In: Survey Methodology, ISSN 0714-0045, E-ISSN 1492-0921, Vol. 45, no 2, p. 349-364Article in journal (Refereed) Published
Abstract [en]

Merging available sources of information is becoming increasingly important for improving estimates of population characteristics in a variety of fields. In presence of several independent probability samples from a finite population we investigate options for a combined estimator of the population total, based on either a linear combination of the separate estimators or on the combined sample approach. A linear combination estimator based on estimated variances can be biased as the separate estimators of the population total can be highly correlated to their respective variance estimators. We illustrate the possibility to use the combined sample to estimate the variances of the separate estimators, which results in general pooled variance estimators. These pooled variance estimators use all available information and have potential to significantly reduce bias of a linear combination of separate estimators.

Place, publisher, year, edition, pages
2019. Vol. 45, no 2, p. 349-364
Keywords [en]
Horvitz-Thompson estimator, Inclusion probabilities, Linear combination estimator, Variance estimation
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:miun:diva-36809ISI: 000473107900009OAI: oai:DiVA.org:miun-36809DiVA, id: diva2:1341606
Available from: 2019-08-09 Created: 2019-08-09 Last updated: 2019-08-09Bibliographically approved

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Jonsson, Bengt-Gunnar

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