{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,26]],"date-time":"2025-09-26T22:27:07Z","timestamp":1758925627912,"version":"3.38.0"},"reference-count":1,"publisher":"Cambridge University Press (CUP)","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Appl. Probab."],"published-print":{"date-parts":[[1980,12]]},"abstract":"<jats:p>A new markovian process {<jats:italic>X<\/jats:italic>\n               <jats:sub>i<\/jats:sub> : <jats:italic>i<\/jats:italic> = 0, 1, 2, \u00b7\u00b7 \u00b7} following a negative exponential distribution and with the same autocorrelation function as the lag-1 autoregressive process is proposed and studied in this paper. The exact distribution of the maxima and of the minima of <jats:italic>n<\/jats:italic> consecutive <jats:italic>X<jats:sub>i<\/jats:sub>\n               <\/jats:italic> values are obtained and the exact expected upcrossing interval is given for any crossing level.<\/jats:p>","DOI":"10.1017\/s0021900200097436","type":"journal-article","created":{"date-parts":[[2016,7,18]],"date-time":"2016-07-18T01:57:49Z","timestamp":1468807069000},"page":"1117-1120","source":"Crossref","is-referenced-by-count":9,"title":["An exponential Markovian stationary process"],"prefix":"10.1017","volume":"17","author":[{"given":"L. Valadares","family":"Tavares","sequence":"first","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2016,7,14]]},"reference":[{"key":"S0021900200097436_ref1","doi-asserted-by":"publisher","DOI":"10.1016\/0304-4149(77)90026-6"}],"container-title":["Journal of Applied Probability"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0021900200097436","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,4,22]],"date-time":"2017-04-22T11:52:48Z","timestamp":1492861968000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0021900200097436\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1980,12]]},"references-count":1,"journal-issue":{"issue":"04","published-print":{"date-parts":[[1980,12]]}},"alternative-id":["S0021900200097436"],"URL":"https:\/\/doi.org\/10.1017\/s0021900200097436","relation":{},"ISSN":["0021-9002","1475-6072"],"issn-type":[{"type":"print","value":"0021-9002"},{"type":"electronic","value":"1475-6072"}],"subject":[],"published":{"date-parts":[[1980,12]]}}}