caa a22 4500 475737490 CHVBK 20180406123450.0 cr unu---uuuuu 170329e20001101xx s 000 0 eng 10.1007/s001900000121 doi (NATIONALLICENCE)springer-10.1007/s001900000121 Prószyñski W. Institute of Applied Geodesy, Warsaw University of Technology, Pl. Politechniki 1, PL-00-661, Warszawa, Poland e-mail: prowit@rhea.coi.pw.edu.pl; Tel.: +48 22 660 7299; Fax: +48 22 625 1527, PL aut On outlier-hiding effects in specific Gauss-Markov models: geodetic examples [Elektronische Daten] [W. Prószyñski] 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. Springer-Verlag Berlin Heidelberg, 2000 Key words: Gauss-Markov model - Least-squares estimation - Diagonal pattern - Outlier-hiding effects nationallicence https://doi.org/10.1007/s001900000121 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s001900000121 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Prószyñski W. Institute of Applied Geodesy, Warsaw University of Technology, Pl. Politechniki 1, PL-00-661, Warszawa, Poland e-mail: prowit@rhea.coi.pw.edu.pl; Tel.: +48 22 660 7299; Fax: +48 22 625 1527, PL aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer