{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,7]],"date-time":"2026-02-07T01:45:43Z","timestamp":1770428743348,"version":"3.49.0"},"reference-count":0,"publisher":"Cambridge University Press (CUP)","issue":"2","license":[{"start":{"date-parts":[[2001,3,3]],"date-time":"2001-03-03T00:00:00Z","timestamp":983577600000},"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":[[2001,4]]},"abstract":"<jats:p>A wavelet-based consistent test for serial correlation \nof unknown form is proposed. As a spatially adaptive estimation \nmethod, wavelets can effectively detect local features \nsuch as peaks and spikes in a spectral density, which can \narise as a result of strong autocorrelation or seasonal \nor business cycle periodicities in economic and financial \ntime series. The proposed test statistic is constructed \nby comparing a wavelet-based spectral density estimator \nand the null spectral density. It is asymptotically one-sided \n<jats:italic>N<\/jats:italic>(0,1) under the null hypothesis of no serial correlation \nand is consistent against serial correlation of unknown form. \nThe test is expected to have better power than a kernel-based \ntest (e.g., Hong, 1996, <jats:italic>Econometrica<\/jats:italic> 64, 837\u2013864) \nwhen the true spectral density has significant spatial inhomogeneity. \nThis is confirmed in a simulation study. Because the spectral \ndensities of time series arising in practice usually have \nunknown smoothness, the wavelet-based test is a useful \ncomplement to the kernel-based test in practice.<\/jats:p>","DOI":"10.1017\/s0266466601172051","type":"journal-article","created":{"date-parts":[[2002,7,27]],"date-time":"2002-07-27T09:45:46Z","timestamp":1027763146000},"page":"386-423","source":"Crossref","is-referenced-by-count":30,"title":["TESTING FOR SERIAL CORRELATION OF UNKNOWN FORM USING WAVELET \nMETHODS"],"prefix":"10.1017","volume":"17","author":[{"given":"Jin","family":"Lee","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yongmiao","family":"Hong","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2001,3,3]]},"container-title":["Econometric Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0266466601172051","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,8]],"date-time":"2019-04-08T15:29:07Z","timestamp":1554737347000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0266466601172051\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,3,3]]},"references-count":0,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2001,4]]}},"alternative-id":["S0266466601172051"],"URL":"https:\/\/doi.org\/10.1017\/s0266466601172051","relation":{},"ISSN":["0266-4666","1469-4360"],"issn-type":[{"value":"0266-4666","type":"print"},{"value":"1469-4360","type":"electronic"}],"subject":[],"published":{"date-parts":[[2001,3,3]]}}}