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dc.contributor.authorFilmer, Michael
dc.contributor.authorFeatherstone, Will
dc.contributor.authorClaessens, Sten
dc.date.accessioned2017-01-30T13:15:21Z
dc.date.available2017-01-30T13:15:21Z
dc.date.created2014-10-15T20:00:18Z
dc.date.issued2014
dc.identifier.citationFilmer, M. and Featherstone, W. and Claessens, S. 2014. Variance component estimation uncertainty for unbalanced data: Application to a continent-wide vertical datum. Journal of Geodesy. 88 (11): pp. 1081-1093.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/29800
dc.identifier.doi10.1007/s00190-014-0744-6
dc.description.abstract

Variance component estimation (VCE) is used to update the stochastic model in least-squares adjustments, but the uncertainty associated with the VCE-derived weights is rarely considered. Unbalanced data is where there is an unequal number of observations in each heterogeneous dataset comprising the variance component groups. As a case study using highly unbalanced data, we redefine a continent-wide vertical datum from a combined least-squares adjustment using iterative VCE and its uncertainties to update weights for each data set. These are: (1) a continent-wide levelling network, (2) a model of the ocean’s mean dynamic topography and mean sea level observations, and (3) GPS-derived ellipsoidal heights minus a gravimetric quasigeoid model. VCE uncertainty differs for each observation group in the highly unbalanced data, being dependent on the number of observations in each group. It also changes within each group after each VCE iteration, depending on the magnitude of change for each observation group’s variances. It is recommended that VCE uncertainty is computed for VCE updates to the weight matrix for unbalanced data so that the quality of the updates for each group can be properly assessed. This is particularly important if some groups contain relatively small numbers of observations. VCE uncertainty can also be used as a threshold for ceasing iterations, as it is shown—for this data set at least—that it is not necessary to continue time-consuming iterations to fully converge to unity.

dc.publisherSpringer - Verlag
dc.subjectUnbalanced data
dc.subjectVCE uncertainty
dc.subjectVariance component estimation (VCE)
dc.subjectCombined least-squares adjustment
dc.subjectVertical datum
dc.titleVariance component estimation uncertainty for unbalanced data: Application to a continent-wide vertical datum
dc.typeJournal Article
dcterms.source.volume88
dcterms.source.number11
dcterms.source.startPage1081
dcterms.source.endPage1093
dcterms.source.issn09497714
dcterms.source.titleJournal of Geodesy
curtin.note

The final publication is available at Springer via http://doi.org/10.1007/s00190-014-0744-6

curtin.note

NOTICE: This is the author’s version of a work in which changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication.

curtin.departmentDepartment of Spatial Sciences
curtin.accessStatusOpen access


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