{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,13]],"date-time":"2026-04-13T07:08:24Z","timestamp":1776064104296,"version":"3.50.1"},"reference-count":9,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[2016,4]]},"abstract":"<jats:p> A p-box is a simple generalization of a distribution function, useful to study a random number in the presence of imprecision. We propose an extension of p-boxes to cover imprecise evaluations of pairs of random numbers and term them bivariate p-boxes. We analyze their rather weak consistency properties, since they are at best (but generally not) equivalent to 2-coherence. We therefore focus on the relevant subclass of coherent p-boxes, corresponding to coherent lower probabilities on special domains. Several properties of coherent p-boxes are investigated and compared with those of (one-dimensional) p-boxes or of bivariate distribution functions. <\/jats:p>","DOI":"10.1142\/s0218488516500124","type":"journal-article","created":{"date-parts":[[2016,4,22]],"date-time":"2016-04-22T06:02:49Z","timestamp":1461304969000},"page":"229-263","source":"Crossref","is-referenced-by-count":37,"title":["Bivariate <i>p<\/i>-boxes"],"prefix":"10.1142","volume":"24","author":[{"given":"Renato","family":"Pelessoni","sequence":"first","affiliation":[{"name":"DEAMS Bruno de Finetti, University of Trieste, Piazzale Europa 1, Trieste I-34127, Italy"}]},{"given":"Paolo","family":"Vicig","sequence":"additional","affiliation":[{"name":"DEAMS Bruno de Finetti, University of Trieste, Piazzale Europa 1, Trieste I-34127, Italy"}]},{"given":"Ignacio","family":"Montes","sequence":"additional","affiliation":[{"name":"Department of Statistics, Carlos III University, Campus of Getafe, Getafe, E-28903, Spain"}]},{"given":"Enrique","family":"Miranda","sequence":"additional","affiliation":[{"name":"Department of Statistics and Operational Research, University of Oviedo, Campus of Llamaquique, Oviedo, E-33007, Spain"}]}],"member":"219","published-online":{"date-parts":[[2016,4,21]]},"reference":[{"key":"p_4","doi-asserted-by":"publisher","DOI":"10.1016\/j.ress.2005.11.052"},{"key":"p_5","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijar.2011.02.001"},{"key":"p_6","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2012.09.033"},{"key":"p_7","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijar.2009.02.004"},{"key":"p_8","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2014.10.007"},{"key":"p_13","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijar.2007.07.007"},{"key":"p_15","first-page":"307","author":"Scarsini M.","year":"1996","journal-title":"Institute of Mathematical Statistics"},{"key":"p_16","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijar.2010.08.005"},{"key":"p_18","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijar.2006.07.019"}],"container-title":["International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218488516500124","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T18:15:41Z","timestamp":1565115341000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218488516500124"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,4]]},"references-count":9,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2016,4,21]]},"published-print":{"date-parts":[[2016,4]]}},"alternative-id":["10.1142\/S0218488516500124"],"URL":"https:\/\/doi.org\/10.1142\/s0218488516500124","relation":{},"ISSN":["0218-4885","1793-6411"],"issn-type":[{"value":"0218-4885","type":"print"},{"value":"1793-6411","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,4]]}}}