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Auteur Mieczysław Kwaśniak |
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An attempt to determine the effect of increase of observation correlations on detectability and identifiability of a single gross error / Witold Proszynski in Geodesy and cartography, vol 65 n° 2 (December 2016)
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Titre : An attempt to determine the effect of increase of observation correlations on detectability and identifiability of a single gross error Type de document : Article/Communication Auteurs : Witold Proszynski, Auteur ; Mieczysław Kwaśniak, Auteur Année de publication : 2016 Article en page(s) : pp 313 - 333 Note générale : bibliographie Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Statistiques
[Termes IGN] algorithme de décalage moyen
[Termes IGN] analyse de sensibilité
[Termes IGN] cohérence des données
[Termes IGN] corrélation
[Termes IGN] détection d'erreur
[Termes IGN] fiabilité des données
[Termes IGN] valeur aberranteRésumé : (auteur) The paper presents the results of investigating the effect of increase of observation correlations on detectability and identifiability of a single gross error, the outlier test sensitivity and also the response-based measures of internal reliability of networks. To reduce in a research a practically incomputable number of possible test options when considering all the non-diagonal elements of the correlation matrix as variables, its simplest representation was used being a matrix with all non-diagonal elements of equal values, termed uniform correlation. By raising the common correlation value incrementally, a sequence of matrix configurations could be obtained corresponding to the increasing level of observation correlations. For each of the measures characterizing the above mentioned features of network reliability the effect is presented in a diagram form as a function of the increasing level of observation correlations. The influence of observation correlations on sensitivity of the w-test for correlated observations (Förstner 1983, Teunissen 2006) is investigated in comparison with the original Baarda’s w-test designated for uncorrelated observations, to determine the character of expected sensitivity degradation of the latter when used for correlated observations. The correlation effects obtained for different reliability measures exhibit mutual consistency in a satisfactory extent. As a by-product of the analyses, a simple formula valid for any arbitrary correlation matrix is proposed for transforming the Baarda’s w-test statistics into the w-test statistics for correlated observations. Numéro de notice : A2016-980 Affiliation des auteurs : non IGN Thématique : MATHEMATIQUE/POSITIONNEMENT Nature : Article DOI : 10.1515/geocart-2016-0018 En ligne : https://doi.org/10.1515/geocart-2016-0018 Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=83697
in Geodesy and cartography > vol 65 n° 2 (December 2016) . - pp 313 - 333[article]