Please use this identifier to cite or link to this item:
http://hdl.handle.net/2122/1627
DC Field | Value | Language |
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dc.contributor.authorall | Sansò, F.; DIIAR, Politecnico di Milano, Italy | en |
dc.contributor.authorall | Venuti, G.; DIIAR, Politecnico di Milano, Italy | en |
dc.date.accessioned | 2006-09-11T08:04:31Z | en |
dc.date.available | 2006-09-11T08:04:31Z | en |
dc.date.issued | 1997-10 | en |
dc.identifier.uri | http://hdl.handle.net/2122/1627 | en |
dc.description.abstract | In geodesy as well as in geophysics there are a number of examples where the unknown parameters are partly constrained to be integer numbers, while other parameters have a continuous range of possible values. In all such situations the ordinary least square principle, with integer variates fixed to the most probable integer value, can lead to paradoxical results, due to the strong non-linearity of the manifold of admissible values. On the contrary an overall estimation procedure assigning the posterior distribution to all variables, discrete and continuous, conditional to the observed quantities, like the so-called Bayesian approach, has the advantage of weighting correctly the possible errors in choosing different sets of integer values, thus providing a more realistic and stable estimate even of the continuous parameters. In this paper, after a short recall of the basics of Bayesian theory in section 2, we present the natural Bayesian solution to the problem of assessing the estimable signal from noisy observations in section 3 and the Bayesian solution to cycle slips detection and repair for a stream of GPS measurements in section 4. An elementary synthetic example is discussed in section 3 to illustrate the theory presented and more elaborate, though synthetic, examples are discussed in section 4 where realistic streams of GPS observations, with cycle slips, are simulated and then back processed. | en |
dc.format.extent | 3214443 bytes | en |
dc.format.mimetype | application/pdf | en |
dc.language.iso | English | en |
dc.relation.ispartofseries | 5/40 (1997) | en |
dc.subject | Bayesian theory | en |
dc.subject | prior and posterior probability | en |
dc.subject | integer and continuous variables | en |
dc.title | Integer variables estimation problems: the Bayesian approach | en |
dc.type | article | en |
dc.type.QualityControl | Peer-reviewed | en |
dc.subject.INGV | 04. Solid Earth::04.02. Exploration geophysics::04.02.07. Instruments and techniques | en |
dc.description.journalType | JCR Journal | en |
dc.description.fulltext | open | en |
dc.contributor.author | Sansò, F. | en |
dc.contributor.author | Venuti, G. | en |
dc.contributor.department | DIIAR, Politecnico di Milano, Italy | en |
dc.contributor.department | DIIAR, Politecnico di Milano, Italy | en |
item.openairetype | article | - |
item.cerifentitytype | Publications | - |
item.languageiso639-1 | en | - |
item.grantfulltext | open | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.fulltext | With Fulltext | - |
crisitem.author.dept | Istituto Nazionale di Geofisica e Vulcanologia (INGV), Sezione ONT, Roma, Italia | - |
crisitem.author.dept | DIIAR, Politecnico di Milano, Italy | - |
crisitem.author.parentorg | Istituto Nazionale di Geofisica e Vulcanologia | - |
crisitem.classification.parent | 04. Solid Earth | - |
Appears in Collections: | Annals of Geophysics |
Files in This Item:
File | Description | Size | Format | |
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39 sanso.pdf | 3.14 MB | Adobe PDF | View/Open |
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