{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,20]],"date-time":"2025-09-20T18:45:35Z","timestamp":1758393935675,"version":"3.38.0"},"reference-count":19,"publisher":"Cambridge University Press (CUP)","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Appl. Probab."],"published-print":{"date-parts":[[2012,12]]},"abstract":"<jats:p>Let {<jats:italic>X<\/jats:italic><jats:sub><jats:italic>n<\/jats:italic><\/jats:sub>(<jats:italic>t<\/jats:italic>),<jats:italic>t<\/jats:italic>\u2208[0,\u221e)},<jats:italic>n<\/jats:italic>\u2208\u2115, be standard stationary Gaussian processes. The limit distribution of<jats:sub><jats:italic>t<\/jats:italic>\u2208[0,<jats:italic>T<\/jats:italic>(<jats:italic>n<\/jats:italic>)]<\/jats:sub>|<jats:italic>X<\/jats:italic><jats:sub><jats:italic>n<\/jats:italic><\/jats:sub>(<jats:italic>t<\/jats:italic>)| is established as<jats:italic>r<\/jats:italic><jats:sub><jats:italic>n<\/jats:italic><\/jats:sub>(<jats:italic>t<\/jats:italic>), the correlation function of {<jats:italic>X<\/jats:italic><jats:sub><jats:italic>n<\/jats:italic><\/jats:sub>(<jats:italic>t<\/jats:italic>),<jats:italic>t<\/jats:italic>\u2208[0,\u221e)},<jats:italic>n<\/jats:italic>\u2208\u2115, which satisfies the local and long-range strong dependence conditions, extending the results obtained in Seleznjev (1991).<\/jats:p>","DOI":"10.1017\/s0021900200012900","type":"journal-article","created":{"date-parts":[[2016,3,29]],"date-time":"2016-03-29T10:49:29Z","timestamp":1459248569000},"page":"1106-1118","source":"Crossref","is-referenced-by-count":3,"title":["Asymptotics of Maxima of Strongly Dependent Gaussian Processes"],"prefix":"10.1017","volume":"49","author":[{"given":"Zhongquan","family":"Tan","sequence":"first","affiliation":[]},{"given":"Enkelejd","family":"Hashorva","sequence":"additional","affiliation":[]},{"given":"Zuoxiang","family":"Peng","sequence":"additional","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2016,3,1]]},"reference":[{"key":"S0021900200012900_ref19","doi-asserted-by":"publisher","DOI":"10.1016\/j.spl.2010.05.016"},{"key":"S0021900200012900_ref7","doi-asserted-by":"publisher","DOI":"10.1239\/jap\/1032374753"},{"key":"S0021900200012900_ref17","first-page":"161","volume":"8","year":"2006","journal-title":"Extremes"},{"key":"S0021900200012900_ref16","doi-asserted-by":"publisher","DOI":"10.2307\/1428068"},{"key":"S0021900200012900_ref15","doi-asserted-by":"publisher","DOI":"10.2307\/3214737"},{"key":"S0021900200012900_ref9","doi-asserted-by":"publisher","DOI":"10.1214\/aoap\/1069786514"},{"volume-title":"Asymptotic Methods in the Theory of Gaussian Processes and Fields","year":"1996","key":"S0021900200012900_ref14"},{"key":"S0021900200012900_ref8","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-7152(99)00016-4"},{"key":"S0021900200012900_ref12","first-page":"75","volume":"145","year":"1969","journal-title":"Trans. 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