{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,13]],"date-time":"2026-10-13T20:46:59Z","timestamp":1791924419370,"version":"4.3.4"},"reference-count":0,"publisher":"Cambridge University Press (CUP)","issue":"4","license":[{"start":{"date-parts":[[2001,7,27]],"date-time":"2001-07-27T00:00:00Z","timestamp":996192000000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Econom. Theory"],"published-print":{"date-parts":[[2001,8]]},"abstract":"<jats:p>For a process with stationary first differences a necessary \nand sufficient condition for the variance of the process \nto be unbounded is given. An example shows that the variance \nof an integrated process\u2014although unbounded\u2014need \nnot diverge to infinity. Sufficient conditions for the \nvariance of an integrated process to diverge to infinity \nare provided.<\/jats:p>","DOI":"10.1017\/s0266466601174013","type":"journal-article","created":{"date-parts":[[2002,7,27]],"date-time":"2002-07-27T09:16:52Z","timestamp":1027761412000},"page":"671-685","source":"Crossref","is-referenced-by-count":7,"title":["THE VARIANCE OF AN INTEGRATED PROCESS NEED NOT DIVERGE \nTO INFINITY, AND RELATED RESULTS ON PARTIAL SUMS OF STATIONARY \nPROCESSES"],"prefix":"10.1017","volume":"17","author":[{"given":"Hannes","family":"Leeb","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Benedikt M.","family":"P\u00f6tscher","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"56","published-online":{"date-parts":[[2001,7,27]]},"container-title":["Econometric Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0266466601174013","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,8]],"date-time":"2019-04-08T15:21:12Z","timestamp":1554736872000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0266466601174013\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,7,27]]},"references-count":0,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2001,8]]}},"alternative-id":["S0266466601174013"],"URL":"https:\/\/doi.org\/10.1017\/s0266466601174013","relation":{},"ISSN":["0266-4666","1469-4360"],"issn-type":[{"value":"0266-4666","type":"print"},{"value":"1469-4360","type":"electronic"}],"subject":[],"published":{"date-parts":[[2001,7,27]]}}}