{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,25]],"date-time":"2025-02-25T13:48:10Z","timestamp":1740491290446,"version":"3.38.0"},"reference-count":6,"publisher":"Cambridge University Press (CUP)","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Appl. Probab."],"published-print":{"date-parts":[[2014,9]]},"abstract":"<jats:p>In ruin theory, the conjecture given in De Vylder and Goovaerts (2000) is an open problem about the comparison of the finite time ruin probability in a homogeneous risk model and the corresponding ruin probability evaluated in the associated model with equalized claim amounts. In this paper we consider a weaker version of the conjecture and show that the integrals of the ruin probabilities with respect to the initial risk reserve are uniformly comparable.<\/jats:p>","DOI":"10.1017\/s0021900200011724","type":"journal-article","created":{"date-parts":[[2016,3,29]],"date-time":"2016-03-29T10:50:01Z","timestamp":1459248601000},"page":"874-879","source":"Crossref","is-referenced-by-count":0,"title":["On the De Vylder and Goovaerts Conjecture About Ruin for Equalized Claims"],"prefix":"10.1017","volume":"51","author":[{"given":"C. Y.","family":"Robert","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2016,2,19]]},"reference":[{"key":"S0021900200011724_ref3","doi-asserted-by":"publisher","DOI":"10.1016\/j.insmatheco.2011.08.005"},{"volume-title":"Actuarial Theory for Dependent Risks: Measures, Orders and Models","year":"2005","key":"S0021900200011724_ref2"},{"volume-title":"Inequalities: Theory of Majorization and Its Applications","year":"2011","key":"S0021900200011724_ref4"},{"key":"S0021900200011724_ref6","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1956-0079851-X"},{"volume-title":"Approximate Distributions of Order Statistics. With Applications to Nonparamentric Statistics","year":"1989","key":"S0021900200011724_ref5"},{"key":"S0021900200011724_ref1","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-6687(99)00055-4"}],"container-title":["Journal of Applied Probability"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0021900200011724","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,4,22]],"date-time":"2017-04-22T00:28:13Z","timestamp":1492820893000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0021900200011724\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,9]]},"references-count":6,"journal-issue":{"issue":"03","published-print":{"date-parts":[[2014,9]]}},"alternative-id":["S0021900200011724"],"URL":"https:\/\/doi.org\/10.1017\/s0021900200011724","relation":{},"ISSN":["0021-9002","1475-6072"],"issn-type":[{"type":"print","value":"0021-9002"},{"type":"electronic","value":"1475-6072"}],"subject":[],"published":{"date-parts":[[2014,9]]}}}