{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,13]],"date-time":"2026-10-13T13:11:27Z","timestamp":1791897087563,"version":"4.3.4"},"reference-count":62,"publisher":"Oxford University Press (OUP)","issue":"4","license":[{"start":{"date-parts":[[2003,10,28]],"date-time":"2003-10-28T00:00:00Z","timestamp":1067299200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2003,11,1]]},"abstract":"<jats:title>Summary<\/jats:title><jats:p>Interest in problems of statistical inference connected to measurements of quantum systems has recently increased substantially, in step with dramatic new developments in experimental techniques for studying small quantum systems. Furthermore, developments in the theory of quantum measurements have brought the basic mathematical framework for the probability calculations much closer to that of classical probability theory. The present paper reviews this field and proposes and interrelates some new concepts for an extension of classical statistical inference to the quantum context.<\/jats:p>","DOI":"10.1111\/1467-9868.00415","type":"journal-article","created":{"date-parts":[[2004,12,28]],"date-time":"2004-12-28T19:39:11Z","timestamp":1104262751000},"page":"775-804","source":"Crossref","is-referenced-by-count":126,"title":["On Quantum Statistical Inference"],"prefix":"10.1093","volume":"65","author":[{"given":"Ole E.","family":"Barndorff-Nielsen","sequence":"first","affiliation":[{"name":"University of Aarhus , Denmark"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Richard D.","family":"Gill","sequence":"additional","affiliation":[{"name":"University of Utrecht and EURANDOM , Eindhoven , the Netherlands"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Peter E.","family":"Jupp","sequence":"additional","affiliation":[{"name":"University of St Andrews , UK"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2003,10,28]]},"reference":[{"key":"2023032921501573000_","volume-title":"Methods of Information Geometry","author":"Amari","year":"2000"},{"key":"2023032921501573000_","doi-asserted-by":"crossref","first-page":"1804","DOI":"10.1103\/PhysRevLett.49.1804","article-title":"Experimental test of Bell\u2019s inequalities using time-varying analysers","volume":"49","author":"Aspect","year":"1982","journal-title":"Phys. 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