{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,9]],"date-time":"2026-10-09T07:50:49Z","timestamp":1791532249842,"version":"4.3.4"},"reference-count":14,"publisher":"Cambridge University Press (CUP)","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Appl. Probab."],"published-print":{"date-parts":[[2014,3]]},"abstract":"<jats:p>In this short article we will provide a sufficient and necessary condition to have uniqueness of the location of the maximum of a stochastic process over an interval. The result will also express the mean value of the location in terms of the derivative of the expectation of the maximum of a linear perturbation of the underlying process. As an application, we will consider a Brownian motion with variable drift. The ideas behind the method of proof will also be useful to study the location of the maximum, over the real line, of a two-sided Brownian motion minus a parabola and of a stationary process minus a parabola.<\/jats:p>","DOI":"10.1017\/s0021900200010147","type":"journal-article","created":{"date-parts":[[2016,3,29]],"date-time":"2016-03-29T10:49:37Z","timestamp":1459248577000},"page":"152-161","source":"Crossref","is-referenced-by-count":2,"title":["On the Location of the Maximum of a Continuous Stochastic Process"],"prefix":"10.1017","volume":"51","author":[{"given":"Leandro P. R.","family":"Pimentel","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"56","published-online":{"date-parts":[[2016,2,19]]},"reference":[{"key":"S0021900200010147_ref9","doi-asserted-by":"crossref","first-page":"1893","DOI":"10.1214\/EJP.v15-830","volume":"15","year":"2010","journal-title":"Electron. J. Prob."},{"key":"S0021900200010147_ref8","first-page":"8p","volume":"18","year":"2013","journal-title":"Electron. Commun. Prob."},{"key":"S0021900200010147_ref7","first-page":"2234","volume":"16","year":"2011","journal-title":"Electron. J. Prob."},{"key":"S0021900200010147_ref6","doi-asserted-by":"publisher","DOI":"10.1007\/BF00343738"},{"key":"S0021900200010147_ref5","doi-asserted-by":"publisher","DOI":"10.1214\/aop\/1176988731"},{"key":"S0021900200010147_ref4","doi-asserted-by":"publisher","DOI":"10.2307\/1427054"},{"key":"S0021900200010147_ref10","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-003-0945-y"},{"key":"S0021900200010147_ref2","doi-asserted-by":"publisher","DOI":"10.1214\/009117906000000089"},{"key":"S0021900200010147_ref14","doi-asserted-by":"publisher","DOI":"10.1214\/10-AOP617"},{"key":"S0021900200010147_ref1","doi-asserted-by":"crossref","first-page":"1094","DOI":"10.1214\/EJP.v11-366","volume":"11","year":"2006","journal-title":"Electron. J. Prob."},{"key":"S0021900200010147_ref13","doi-asserted-by":"publisher","DOI":"10.1023\/A:1019791415147"},{"key":"S0021900200010147_ref12","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-012-1583-z"},{"key":"S0021900200010147_ref11","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176347498"},{"key":"S0021900200010147_ref3","doi-asserted-by":"publisher","DOI":"10.1007\/s00222-013-0462-3"}],"container-title":["Journal of Applied Probability"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0021900200010147","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,24]],"date-time":"2017-06-24T05:29:06Z","timestamp":1498282146000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0021900200010147\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,3]]},"references-count":14,"journal-issue":{"issue":"01","published-print":{"date-parts":[[2014,3]]}},"alternative-id":["S0021900200010147"],"URL":"https:\/\/doi.org\/10.1017\/s0021900200010147","relation":{},"ISSN":["0021-9002","1475-6072"],"issn-type":[{"value":"0021-9002","type":"print"},{"value":"1475-6072","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,3]]}}}