{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,1]],"date-time":"2022-04-01T12:37:14Z","timestamp":1648816634584},"reference-count":12,"publisher":"Cambridge University Press (CUP)","issue":"3","license":[{"start":{"date-parts":[[2008,5,1]],"date-time":"2008-05-01T00:00:00Z","timestamp":1209600000000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Combinator. Probab. Comp."],"published-print":{"date-parts":[[2008,5]]},"abstract":"<jats:p>We obtain large-deviation approximations for the empirical distribution for a general family of occupancy problems. In the general setting, balls are allowed to fall in a given urn depending on the urn's contents prior to the throw. We discuss a parametric family of statistical models that includes <jats:italic>Maxwell\u2013Boltzmann<\/jats:italic>, <jats:italic>Bose\u2013Einstein<\/jats:italic> and <jats:italic>Fermi\u2013Dirac<\/jats:italic> statistics as special cases. A process-level large-deviation analysis is conducted and the rate function for the original problem is then characterized, via the contraction principle, by the solution to a calculus of variations problem. The solution to this variational problem is shown to coincide with that of a simple finite-dimensional minimization problem. As a consequence, the large-deviation approximations and related qualitative information are available in more-or-less explicit form.<\/jats:p>","DOI":"10.1017\/s0963548307008681","type":"journal-article","created":{"date-parts":[[2008,1,22]],"date-time":"2008-01-22T06:02:02Z","timestamp":1200981722000},"page":"437-470","source":"Crossref","is-referenced-by-count":4,"title":["Large-Deviation Approximations for General Occupancy Models"],"prefix":"10.1017","volume":"17","author":[{"given":"JIM X.","family":"ZHANG","sequence":"first","affiliation":[]},{"given":"PAUL","family":"DUPUIS","sequence":"additional","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2008,5,1]]},"reference":[{"key":"S0963548307008681_ref7","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0004521"},{"key":"S0963548307008681_ref12","unstructured":"[12] Zhang J. X. , Nuzman C. and Whiting P. (2005) Importance sampling in a general urn occupancy model. Preprint."},{"key":"S0963548307008681_ref9","volume-title":"Urn Models and their Applications","author":"Johnson","year":"1977"},{"key":"S0963548307008681_ref8","doi-asserted-by":"publisher","DOI":"10.2307\/1403255"},{"key":"S0963548307008681_ref5","volume-title":"An Introduction to Probability Theory and its Applications","author":"Feller","year":"1968"},{"key":"S0963548307008681_ref11","volume-title":"Introduction to Probability Models","author":"Ross","year":"2002"},{"key":"S0963548307008681_ref10","doi-asserted-by":"publisher","DOI":"10.1515\/9781400873173"},{"key":"S0963548307008681_ref6","volume-title":"An Introduction to Probability Theory and its Applications","author":"Feller","year":"1971"},{"key":"S0963548307008681_ref4","doi-asserted-by":"crossref","first-page":"2765","DOI":"10.1214\/009117904000000135","article-title":"Large deviations asymptotics for occupancy problems","volume":"32","author":"Dupuis","year":"2004","journal-title":"Ann. Probab."},{"key":"S0963548307008681_ref3","doi-asserted-by":"publisher","DOI":"10.1002\/9781118165904"},{"key":"S0963548307008681_ref1","volume-title":"Convergence of Probability Measures","author":"Billingsley","year":"1968"},{"key":"S0963548307008681_ref2","doi-asserted-by":"crossref","unstructured":"[2] Charalambides A. (1997) A unified derivation of occupancy and sequential occupancy distributions. In Advances in Combinatorial Methods and Applications to Probability and Statistics ( Balakrishnan N. , ed.), pp. 259\u2013273.","DOI":"10.1007\/978-1-4612-4140-9_15"}],"container-title":["Combinatorics, Probability and Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0963548307008681","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,9]],"date-time":"2019-04-09T16:35:23Z","timestamp":1554827723000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0963548307008681\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,5]]},"references-count":12,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2008,5]]}},"alternative-id":["S0963548307008681"],"URL":"https:\/\/doi.org\/10.1017\/s0963548307008681","relation":{},"ISSN":["0963-5483","1469-2163"],"issn-type":[{"value":"0963-5483","type":"print"},{"value":"1469-2163","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,5]]}}}