Locally Stationary Wavelet Packet Processes: Basis Selection and Model Fitting
dc.contributor.author | Cardinali, Alessandro | |
dc.contributor.author | Nason, GP | |
dc.date.accessioned | 2017-03-27T11:30:55Z | |
dc.date.available | 2017-03-27T11:30:55Z | |
dc.date.issued | 2017-03 | |
dc.identifier.issn | 0143-9782 | |
dc.identifier.issn | 1467-9892 | |
dc.identifier.uri | http://hdl.handle.net/10026.1/8697 | |
dc.description.abstract |
<jats:p>For non‐stationary time series, the fixed Fourier basis is no longer canonical. Rather than limit our basis choice to wavelet or Fourier functions, we propose the use of a library of non‐decimated wavelet packets from which we select a suitable basis (frame). Non‐decimated packets are preferred to decimated basis libraries so as to prevent information ‘loss’ at scales coarser than the finest. This article introduces a new class of locally stationary wavelet packet processes and a method to fit these to time series. We also provide new material on the boundedness of the inverse of the inner product operator of autocorrelation wavelet packet functions. We demonstrate the effectiveness of our modelling and basis selection on simulated series and Standard and Poor's 500 index series.</jats:p> | |
dc.format.extent | 151-174 | |
dc.language | en | |
dc.language.iso | en | |
dc.publisher | Wiley | |
dc.subject | Local stationarity | |
dc.subject | wavelet packet | |
dc.subject | locally stationary Fourier process | |
dc.subject | locally stationary wavelet process | |
dc.title | Locally Stationary Wavelet Packet Processes: Basis Selection and Model Fitting | |
dc.type | journal-article | |
dc.type | Conference Proceeding | |
plymouth.author-url | https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000398533800002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=11bb513d99f797142bcfeffcc58ea008 | |
plymouth.issue | 2 | |
plymouth.volume | 38 | |
plymouth.publication-status | Published | |
plymouth.journal | Journal of Time Series Analysis | |
dc.identifier.doi | 10.1111/jtsa.12230 | |
plymouth.organisational-group | /Plymouth | |
plymouth.organisational-group | /Plymouth/Faculty of Science and Engineering | |
plymouth.organisational-group | /Plymouth/Faculty of Science and Engineering/School of Engineering, Computing and Mathematics | |
plymouth.organisational-group | /Plymouth/REF 2021 Researchers by UoA | |
plymouth.organisational-group | /Plymouth/REF 2021 Researchers by UoA/EXTENDED UoA 10 - Mathematical Sciences | |
plymouth.organisational-group | /Plymouth/REF 2021 Researchers by UoA/UoA10 Mathematical Sciences | |
plymouth.organisational-group | /Plymouth/Users by role | |
plymouth.organisational-group | /Plymouth/Users by role/Academics | |
dcterms.dateAccepted | 2016-11-23 | |
dc.identifier.eissn | 1467-9892 | |
dc.rights.embargoperiod | Not known | |
rioxxterms.versionofrecord | 10.1111/jtsa.12230 | |
rioxxterms.licenseref.uri | http://www.rioxx.net/licenses/all-rights-reserved | |
rioxxterms.licenseref.startdate | 2017-03 | |
rioxxterms.type | Journal Article/Review | |
plymouth.oa-location | http://onlinelibrary.wiley.com/doi/10.1111/jtsa.12230/full |