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The stationary errors are allowed to be serially correlated and the regressors are allowed to be endogenous. The paper extends the fully modified estimator of Phillips and Hansen (1990) from cointegrating regressions to cointegrating polynomial regressions. The FM-OLS estimator has a zero-mean Gaussian mixture limiting distribution that allows for standard asymptotic inference. Wald and LM specification tests as well as a KPSS-type test for cointegration are derived. The theoretical analysis is complemented by a simulation study which shows that this FM-OLS estimator, as well as tests based upon it, perform well in the sense that the performance advantages over OLS are largely similar to the performance advantages of FM-OLS over OLS in standard cointegrating regressions.<\/jats:p>","DOI":"10.1017\/s0266466615000213","type":"journal-article","created":{"date-parts":[[2015,7,13]],"date-time":"2015-07-13T07:06:19Z","timestamp":1436771179000},"page":"1289-1315","source":"Crossref","is-referenced-by-count":47,"title":["COINTEGRATING POLYNOMIAL REGRESSIONS: FULLY MODIFIED OLS ESTIMATION AND INFERENCE"],"prefix":"10.1017","volume":"32","author":[{"given":"Martin","family":"Wagner","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Seung Hyun","family":"Hong","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"56","published-online":{"date-parts":[[2015,6,16]]},"reference":[{"key":"S0266466615000213_ref37","doi-asserted-by":"publisher","DOI":"10.1017\/S0266466600004217"},{"key":"S0266466615000213_ref11","doi-asserted-by":"publisher","DOI":"10.1007\/BF01894765"},{"key":"S0266466615000213_ref8","first-page":"383","volume-title":"Handbook of Applied Economic Statistics","author":"de Benedictis","year":"1998"},{"key":"S0266466615000213_ref6","doi-asserted-by":"publisher","DOI":"10.1017\/S0266466609990065"},{"key":"S0266466615000213_ref31","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139052160.005"},{"key":"S0266466615000213_ref40","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.1977.10480627"},{"key":"S0266466615000213_ref14","unstructured":"Hong S.H. & Wagner M. 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