{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,14]],"date-time":"2025-11-14T10:38:41Z","timestamp":1763116721714,"version":"3.37.3"},"reference-count":19,"publisher":"World Scientific Pub Co Pte Ltd","issue":"05","funder":[{"name":"Philosophy and Social Science Foundation of Zhejiang Province","award":["19NDQN340YB"],"award-info":[{"award-number":["19NDQN340YB"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11771100"],"award-info":[{"award-number":["11771100"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Wavelets Multiresolut Inf. Process."],"published-print":{"date-parts":[[2020,9]]},"abstract":"<jats:p> In this paper, wavelet transform on a regression curve is investigated by using length-preserving projection and its application in financial data is also discussed. First, properties of wavelet filters on the regression trend curves are studied and two-scale equation of wavelet function is deduced on the regression trend curves. Second, the decomposition and reconstruction algorithm of discrete wavelet transform on regression trend curves is derived. Finally, two examples in financial data are given for discussion, based on decomposition and reconstruction algorithms on regression trend curves. Some new research interpretations are presented in dealing with financial data such as \u201cvolatility on regression growth trend\u201d, \u201cerror on regression growth trend\u201d, and so on. <\/jats:p>","DOI":"10.1142\/s021969132050040x","type":"journal-article","created":{"date-parts":[[2020,5,15]],"date-time":"2020-05-15T01:39:24Z","timestamp":1589506764000},"page":"2050040","source":"Crossref","is-referenced-by-count":7,"title":["Wavelet transform on regression trend curve and its application in financial data"],"prefix":"10.1142","volume":"18","author":[{"given":"Xiaohui","family":"Zhou","sequence":"first","affiliation":[{"name":"School of Mathematics, Shanghai University of Finance and Economics, Shanghai 200433, P. R. China"},{"name":"Department of Applied Mathematics, Zhejiang University of Finance and Economics Dongfang College, Jiaxing, Zhejiang 314400, P. R. 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