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Some considerations on significance analysis for deformation detection via frequentist and Bayesian tests / F. Sacerdote in Journal of geodesy, vol 84 n° 4 (April 2010)  

Public [article]  inJournal of geodesy > vol 84 n° 4 (April 2010) . - pp 233 - 242 Titre : Some considerations on significance analysis for deformation detection via frequentist and Bayesian tests Type de document : Article/Communication Auteurs : F. Sacerdote, Auteur ; N. Cazzaniga, Auteur ; V. Tornatore, Auteur Année de publication : 2010 Article en page(s) : pp 233 - 242 Langues : Anglais (eng) Descripteur : [Vedettes matières IGN] Géodésie spatiale [Termes IGN] analyse de données [Termes IGN] classification bayesienne [Termes IGN] déformation géométrique Résumé : (Auteur) The Bayesian approach to significance testing, that makes use of prior information, has been studied in the last years, particularly to allow the detection of deformations which are small with respect to measurement errors from repeated surveys. Some investigations showed up to now that, under particular conditions concerning both the parameters of the prior distribution and the structure of the control network, Bayesian tests give stronger results than tests based on the frequentist approach, with regard to the detectability of deformations. In the present paper, after illustrating the essential developments and the most relevant results of previous works, new analytical developments and numerical simulations are carried out, to illustrate some critical aspects and advantages of the frequentist and Bayesian methods. It is shown, starting from simple examples involving only Gaussian and truncated Gaussian distributions and from a simplified formulation of the prior deformation model, that the testing procedures based on the frequentist approach, which do not introduce any a priori information, are in many cases of practical interest insensitive to internal consistencies of the displacements (e.g., to the fact that they have a common direction). It is also illustrated that the introduction of prior information, even in a non Bayesian context, more easily allows the detection of little displacements. Besides it is noted that in some cases Bayesian tests detect displacements in the presence of observed non-coherent movements, even if prior probability densities describing coherent movements are introduced. Copyright Springer Numéro de notice : A2010-151 Affiliation des auteurs : non IGN Thématique : POSITIONNEMENT Nature : Article nature-HAL : ArtAvecCL-RevueIntern DOI : 10.1007/s00190-009-0360-z Date de publication en ligne : 09/12/2009 En ligne : https://doi.org/10.1007/s00190-009-0360-z Format de la ressource électronique : URL article Permalink : https://documentation.ensg.eu/index.php?lvl=notice_display&id=30346 [article]

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