{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,5]],"date-time":"2026-10-05T23:03:29Z","timestamp":1791241409235,"version":"4.1.0"},"reference-count":24,"publisher":"Cambridge University Press (CUP)","issue":"5","license":[{"start":{"date-parts":[[2009,2,11]],"date-time":"2009-02-11T00:00:00Z","timestamp":1234310400000},"content-version":"unspecified","delay-in-days":4151,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Econom. Theory"],"published-print":{"date-parts":[[1997,10]]},"abstract":"<jats:p>This study examines several important practical issues concerning nonparametric estimation of the innovation variance for the Phillips-Perron (PP) test. A Monte Carlo study is conducted to evaluate the potential effects of kernel choice, databased bandwidth selection, and prewhitening on the power property of the PP test in finite samples. The Monte Carlo results are instructive. Although the kernel choice is found to make little difference, data-based bandwidth selection and prewhitening can lead to power gains for the PP test. The combined use of both the Andrews (1991,<jats:italic>Ecpnometrica<\/jats:italic>59, 817\u2013858) data-based bandwidth selection procedure and the Andrews and Monahan (1992,<jats:italic>Econometrica<\/jats:italic>60, 953\u2013966) prewhitening procedure performs particularly well. With the combined use of these two procedures, the PPtest displays relatively good power in comparison with the augmented Dickey-Fuller test.<\/jats:p>","DOI":"10.1017\/s0266466600006137","type":"journal-article","created":{"date-parts":[[2009,3,10]],"date-time":"2009-03-10T15:36:26Z","timestamp":1236699386000},"page":"679-691","source":"Crossref","is-referenced-by-count":18,"title":["Bandwidth Selection, Prewhitening, and the Power of the Phillips-Perron Test"],"prefix":"10.1017","volume":"13","author":[{"given":"Yin-Wong","family":"Cheung","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Kon S.","family":"Lai","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"56","published-online":{"date-parts":[[2009,2,11]]},"reference":[{"key":"S0266466600006137_ref024","doi-asserted-by":"crossref","first-page":"2739","DOI":"10.1016\/S1573-4412(05)80015-7","volume-title":"Handbook of Econometrics","volume":"4","author":"Stock","year":"1994"},{"key":"S0266466600006137_ref022","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1080\/07350015.1989.10509723","article-title":"Tests for unit roots: A Monte Carlo investigation","volume":"7","author":"Schwert","year":"1989","journal-title":"Journal of Business and Economic Statistics"},{"key":"S0266466600006137_ref021","doi-asserted-by":"publisher","DOI":"10.1214\/aos\/1176344136"},{"key":"S0266466600006137_ref020","volume-title":"Statistical Inference","author":"Rohatgi","year":"1984"},{"key":"S0266466600006137_ref019","doi-asserted-by":"publisher","DOI":"10.2307\/2938370"},{"key":"S0266466600006137_ref018","volume-title":"Spectral Analysis and Tune Series","author":"Priestley","year":"1981"},{"key":"S0266466600006137_ref010","doi-asserted-by":"publisher","DOI":"10.1016\/0165-1765(90)90143-O"},{"key":"S0266466600006137_ref009","doi-asserted-by":"publisher","DOI":"10.1093\/biomet\/69.1.81"},{"key":"S0266466600006137_ref008","doi-asserted-by":"crossref","first-page":"461","DOI":"10.1080\/07350015.1994.10524568","article-title":"Testing for a unit root in time series with pretest data-based model selection","volume":"12","author":"Hall","year":"1994","journal-title":"Journal of Business and Economic Statistics"},{"key":"S0266466600006137_ref007","first-page":"427","article-title":"Distribution of the estimators for autoregressive time series with a unit root","volume":"74","author":"Dickey","year":"1979","journal-title":"Journal of the American Statistical Association"},{"key":"S0266466600006137_ref006","doi-asserted-by":"publisher","DOI":"10.1016\/0304-4076(92)90090-E"},{"key":"S0266466600006137_ref005","doi-asserted-by":"publisher","DOI":"10.1111\/j.1468-0084.1995.mp57003008.x"},{"key":"S0266466600006137_ref011","unstructured":"Lee C.C. & P. Phillips C.B. (1994) An ARMA prewhitened long-run variance estimator. 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Ng (1995) Useful modifications to some unit root tests with dependent errors and their local asymptotic properties. Working paper, Department de Sciences conomiques et C.R.D.E., University de Montreal.","DOI":"10.2307\/2297890"},{"key":"S0266466600006137_ref014","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.1995.10476510"},{"key":"S0266466600006137_ref001","first-page":"817","volume-title":"Econometrica","volume":"59","author":"Andrews","year":"1991"},{"key":"S0266466600006137_ref003","unstructured":"Cheung Y.W. & Lai K.S. (1995a) Bandwidth selection, prewhitening, and the power of the Phillips-Perron test. 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