{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,2]],"date-time":"2026-10-02T08:27:19Z","timestamp":1790929639981,"version":"4.1.0"},"reference-count":11,"publisher":"Cambridge University Press (CUP)","issue":"4","license":[{"start":{"date-parts":[[2009,2,11]],"date-time":"2009-02-11T00:00:00Z","timestamp":1234310400000},"content-version":"unspecified","delay-in-days":6282,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Econom. Theory"],"published-print":{"date-parts":[[1991,12]]},"abstract":"<jats:p>Recently Tanaka and Satchell [11] investigated the limiting properties of local maximizers of the Gaussian pseudo-likelihood function of a misspecified moving average model of order one in case the spectral density of the data process has a zero at frequency zero. We show that pseudo-maximum likelihood estimators in the narrower sense, that is, global maximizers of the Gaussian pseudo-likelihood function, may exhibit behavior drastically different from that of the local maximizers. Some general results on the limiting behavior of pseudo-maximum likelihood estimators in potentially misspecified ARMA models are also presented.<\/jats:p>","DOI":"10.1017\/s0266466600004692","type":"journal-article","created":{"date-parts":[[2009,3,10]],"date-time":"2009-03-10T11:41:28Z","timestamp":1236685288000},"page":"435-449","source":"Crossref","is-referenced-by-count":27,"title":["Noninvertibility and Pseudo-Maximum Likelihood Estimation of Misspecified ARMA Models"],"prefix":"10.1017","volume":"7","author":[{"given":"B.M.","family":"P\u00f6tscher","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"56","published-online":{"date-parts":[[2009,2,11]]},"reference":[{"key":"S0266466600004692_ref007","volume-title":"TheStatistical Theory of Linear Systems","author":"Hannan","year":"1988"},{"key":"S0266466600004692_ref003","doi-asserted-by":"publisher","DOI":"10.2307\/1426940"},{"key":"S0266466600004692_ref008","doi-asserted-by":"publisher","DOI":"10.2307\/3213814"},{"key":"S0266466600004692_ref011","first-page":"333","article-title":"Asymptotic properties of the maximum-likelihood and nonlinear least-squares estimator for noninvertible moving average models","volume":"5","author":"Tanaka","year":"1989","journal-title":"Econometric"},{"key":"S0266466600004692_ref006","doi-asserted-by":"publisher","DOI":"10.2307\/3212501"},{"key":"S0266466600004692_ref001","doi-asserted-by":"publisher","DOI":"10.1016\/0047-259X(89)90037-7"},{"key":"S0266466600004692_ref010","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-9892.1990.tb00049.x"},{"key":"S0266466600004692_ref004","doi-asserted-by":"publisher","DOI":"10.2307\/1427343"},{"key":"S0266466600004692_ref005","doi-asserted-by":"publisher","DOI":"10.2307\/1425908"},{"key":"S0266466600004692_ref009","doi-asserted-by":"publisher","DOI":"10.1016\/0047-259X(87)90097-2"},{"key":"S0266466600004692_ref002","doi-asserted-by":"publisher","DOI":"10.2307\/1912058"}],"container-title":["Econometric Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0266466600004692","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,17]],"date-time":"2019-05-17T15:42:09Z","timestamp":1558107729000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0266466600004692\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1991,12]]},"references-count":11,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1991,12]]}},"alternative-id":["S0266466600004692"],"URL":"https:\/\/doi.org\/10.1017\/s0266466600004692","relation":{},"ISSN":["0266-4666","1469-4360"],"issn-type":[{"value":"0266-4666","type":"print"},{"value":"1469-4360","type":"electronic"}],"subject":[],"published":{"date-parts":[[1991,12]]}}}