On outlier-hiding effects in specific Gauss–Markov models: geodetic examples

Witold Prószyński

Abstract

A specific subclass of Gauss–Markov models has been defined as containing the models for which the disturbance/response matrix, determined under the assumption of uncorrelated observations, consists of independent diagonal blocks. A proposed modification of reliability assessment procedure for such models is presented By the appropriate reduction of a given full covariance matrix for the observations, the proposal allows the assessment to be made in the resulting model which, in contrast to the initial model, is free from outlier-hiding effects of the type not occurring in ordinary models. The theoretical findings are demonstrated using simple numerical examples. All the proofs supporting the proposal are gathered in Appendixes. The proposal, which is not without its own weak points, is an attempt to associate the reliability assessment in specific Gauss–Markov models with effective outlier detection.
Author Witold Prószyński (FGC / DEIS)
Witold Prószyński,,
- Department of Engineering and Industrial Surveying
Journal seriesJournal of Geodesy, ISSN 0949-7714, 1432-1394, []
Issue year2000
Vol74
No7-8
Pages581-589
Keywords in EnglishGauss–Markov model – Least-squares estimation – Diagonal pattern – Outlier-hiding effects
DOIDOI:10.1007/s001900000121
URL http://link.springer.com/article/10.1007/s001900000121
Languageen angielski
Score (nominal)0
Citation count*7 (2015-05-14)
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