{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,13]],"date-time":"2022-04-13T11:38:39Z","timestamp":1649849919758},"reference-count":12,"publisher":"Cambridge University Press (CUP)","issue":"3","license":[{"start":{"date-parts":[[2012,11,12]],"date-time":"2012-11-12T00:00:00Z","timestamp":1352678400000},"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":[[2013,6]]},"abstract":"<jats:p>Upper and lower bounds on the order of magnitude of <jats:inline-formula><jats:alternatives><jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" orientation=\"portrait\" mime-subtype=\"gif\" mimetype=\"image\" position=\"float\" xlink:type=\"simple\" xlink:href=\"S0266466612000503_inline1\" \/><jats:tex-math>$\\sum\\nolimits_{t = 1}^n {\\lefttnq#x007C; {x_t } \\righttnq#x007C;^{ - \\alpha } } $<\/jats:tex-math><\/jats:alternatives><\/jats:inline-formula>, where <jats:italic>x<jats:sub>t<\/jats:sub><\/jats:italic> is an integrated process, are obtained. Furthermore, upper bounds for the order of magnitude of the related quantity <jats:inline-formula><jats:alternatives><jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" orientation=\"portrait\" mime-subtype=\"gif\" mimetype=\"image\" position=\"float\" xlink:type=\"simple\" xlink:href=\"S0266466612000503_inline2\" \/><jats:tex-math>$\\sum\\nolimits_{t = 1}^n {v_t } \\lefttnq#x007C; {x_t } \\righttnq#x007C;^{ - \\alpha } $<\/jats:tex-math><\/jats:alternatives><\/jats:inline-formula>, where <jats:italic>v<jats:sub>t<\/jats:sub><\/jats:italic> are random variables satisfying certain conditions, are also derived.<\/jats:p>","DOI":"10.1017\/s0266466612000503","type":"journal-article","created":{"date-parts":[[2012,11,12]],"date-time":"2012-11-12T14:26:52Z","timestamp":1352730412000},"page":"642-658","source":"Crossref","is-referenced-by-count":2,"title":["ON THE ORDER OF MAGNITUDE OF SUMS OF NEGATIVE POWERS OF INTEGRATED 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