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It is shown how one can introduce imprecision into such probabilities as a data base of cases accumulates. By exploiting the graphical structure, the updating can be performed locally, either approximately or exactly, and the setup makes it possible to take advantage of a range of well\u2010established statistical techniques. As examples we discuss discrete models, models based on Dirichlet distributions and models of the logistic regression type.<\/jats:p>","DOI":"10.1002\/net.3230200507","type":"journal-article","created":{"date-parts":[[2007,5,12]],"date-time":"2007-05-12T09:21:47Z","timestamp":1178961707000},"page":"579-605","source":"Crossref","is-referenced-by-count":316,"title":["Sequential updating of conditional probabilities on directed graphical structures"],"prefix":"10.1002","volume":"20","author":[{"given":"David J.","family":"Spiegelhalter","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Steffen L.","family":"Lauritzen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,10,11]]},"reference":[{"key":"e_1_2_1_2_2","first-page":"67","volume-title":"Bayesian Statistics","author":"Bernardo J. 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