{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T20:32:59Z","timestamp":1773693179271,"version":"3.50.1"},"reference-count":31,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2008,1,10]],"date-time":"2008-01-10T00:00:00Z","timestamp":1199923200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Sign Process Syst Sign Image Video Technol"],"published-print":{"date-parts":[[2008,9]]},"DOI":"10.1007\/s11265-007-0156-4","type":"journal-article","created":{"date-parts":[[2008,1,9]],"date-time":"2008-01-09T21:06:15Z","timestamp":1199912775000},"page":"263-280","source":"Crossref","is-referenced-by-count":30,"title":["On Bandwidth Selection in Local Polynomial Regression Analysis and Its Application to Multi-resolution Analysis of Non-uniform Data"],"prefix":"10.1007","volume":"52","author":[{"given":"Z. G.","family":"Zhang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S. C.","family":"Chan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"K. L.","family":"Ho","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"K. C.","family":"Ho","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2008,1,10]]},"reference":[{"key":"156_CR1","volume-title":"Local Polynomial Modelling and Its Applications","author":"J. Fan","year":"1996","unstructured":"Fan J., & Gijbels, I. (1996). Local polynomial modelling and its applications. London: Chapman and Hall."},{"key":"156_CR2","first-page":"371","volume":"57","author":"J. Fan","year":"1995","unstructured":"Fan, J., & Gijbels, I. (1995). Data-driven bandwidth selection in local polynomial fitting: Variable bandwidth and spatial adaptation.Stat. Sin., vol. 57, 1995, pp. 371\u2013394.","journal-title":"Stat. Sin."},{"issue":"5","key":"156_CR3","doi-asserted-by":"crossref","first-page":"1228","DOI":"10.1109\/TSP.2004.826179","volume":"52","author":"L. J. Stankovi\u00c4\u2021","year":"2004","unstructured":"Stankovi\u00c4\u2021, L. J. (2004). Performance analysis of the adaptive algorithm for bias-to-variance tradeoff. IEEE Transactions on Signal Processing, 52(5), 1228\u20131234, May.","journal-title":"IEEE Transactions on Signal Processing"},{"key":"156_CR4","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4899-4493-1","volume-title":"Kernel Smoothing","author":"M. P. Wand","year":"1995","unstructured":"Wand, M. P., & Jones, M. C. (1995). Kernel smoothing. London: Chapman and Hall."},{"key":"156_CR5","first-page":"113","volume":"6","author":"J. Fan","year":"1996","unstructured":"Fan, J., Gijbels, I., Hu, T. C., & Huang, L. S. (1996). A study of variable bandwidth selection for local polynomial regression. Statistica Sinica, 6, 113\u2013127.","journal-title":"Statistica Sinica"},{"issue":"432","key":"156_CR6","doi-asserted-by":"crossref","first-page":"1257","DOI":"10.1080\/01621459.1995.10476630","volume":"90","author":"D. Ruppert","year":"1995","unstructured":"Ruppert, D., Sheather, S. J., & Wand, M. P. (1995). An effective bandwidth selector for local least squares regression. Journal of the American Statistical Association, 90(432), 1257\u20131270.","journal-title":"Journal of the American Statistical Association"},{"key":"156_CR7","doi-asserted-by":"crossref","first-page":"1346","DOI":"10.1214\/aos\/1176325632","volume":"22","author":"D. Ruppert","year":"1994","unstructured":"Ruppert, D., & Wand, M. P. (1994). Multivariate locally weighted least squares regression. Annals of Statistics, 22, 1346\u20131370.","journal-title":"Annals of Statistics"},{"issue":"439","key":"156_CR8","doi-asserted-by":"crossref","first-page":"1049","DOI":"10.1080\/01621459.1997.10474061","volume":"92","author":"D. Ruppert","year":"1997","unstructured":"Ruppert, D. (1997). Empirical-bias bandwidths for local polynomial nonparametric regression and density estimation. Journal of the American Statistics Association, 92(439), 1049\u20131062.","journal-title":"Journal of the American Statistics Association"},{"key":"156_CR9","doi-asserted-by":"crossref","first-page":"453","DOI":"10.1111\/j.2517-6161.1991.tb01837.x","volume":"53","author":"P. Vieu","year":"1991","unstructured":"Vieu, P. (1991). Nonparametric regression: Optimal local bandwidth choice. Journal of the Royal Statistics Society, B, 53, 453\u2013464.","journal-title":"Journal of the Royal Statistics Society, B"},{"key":"156_CR10","doi-asserted-by":"crossref","first-page":"683","DOI":"10.1111\/j.2517-6161.1991.tb01857.x","volume":"53","author":"S. J. Sheather","year":"1991","unstructured":"Sheather, S. J., & Jones, M. C. (1991). A reliable data-based bandwidth selection method for kernel density estimation. Journal of the Royal Statistics Society, B, 53, 683\u2013690.","journal-title":"Journal of the Royal Statistics Society, B"},{"key":"156_CR11","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1093\/biomet\/78.2.263","volume":"78","author":"P. Hall","year":"1991","unstructured":"Hall, P., Sheather, J. S. J., Jones, M. C., & Marron, J. S. (1991). On optimal data-based bandwidth selection in kernel density estimation. Biometrika, 78, 263\u2013269.","journal-title":"Biometrika"},{"issue":"3","key":"156_CR12","doi-asserted-by":"crossref","first-page":"454","DOI":"10.1137\/1135065","volume":"35","author":"O. Lepskii","year":"1990","unstructured":"Lepskii, O. (1990). On a problem of adaptive estimation in Gaussian white noise. Theor. Prob. Appl., 35(3), 454\u2013466.","journal-title":"Theor. Prob. Appl."},{"issue":"3","key":"156_CR13","doi-asserted-by":"crossref","first-page":"929","DOI":"10.1214\/aos\/1069362731","volume":"25","author":"O. Lepski","year":"1997","unstructured":"Lepski, O., Mammen, E., & Spokoiny, V. (1997). Ideal spatial adaptation to inhomogeneous smoothness: An approach based on kernel estimates with variable bandwidth selection. Annals of Statistics, 25(3), 929\u2013947.","journal-title":"Annals of Statistics"},{"issue":"6","key":"156_CR14","doi-asserted-by":"crossref","first-page":"2512","DOI":"10.1214\/aos\/1030741083","volume":"25","author":"O. Lepski","year":"1997","unstructured":"Lepski, O., & Spokoiny, V. (1997). Optimal pointwise adaptive methods in nonparametric estimation. Annals of Statistics, 25(6), 2512\u20132546.","journal-title":"Annals of Statistics"},{"issue":"2","key":"156_CR15","first-page":"135","volume":"6","author":"A. Goldenshluger","year":"1997","unstructured":"Goldenshluger, A., & Nemirovski, A. (1997). On spatial adaptive estimation of nonparametric regression. Mathematical Methods of Statistics, 6(2), 135\u2013170.","journal-title":"Mathematical Methods of Statistics"},{"issue":"9","key":"156_CR16","doi-asserted-by":"crossref","first-page":"2567","DOI":"10.1109\/78.782208","volume":"47","author":"V. Katkovnik","year":"1999","unstructured":"Katkovnik, V. (1999). A new method for varying adaptive bandwidth selection. IEEE Transactions Signal Processing, 47(9), 2567\u20132571, Sept.","journal-title":"IEEE Transactions Signal Processing"},{"key":"156_CR17","doi-asserted-by":"crossref","unstructured":"Katkovnik, V. (1996). Wavelets and local polynomial approximation. In Proc. IEEE-SP International Symposium Time-Freq. Time-Scale Anal., (pp. 237\u2013240). Paris, France.","DOI":"10.1109\/TFSA.1996.547457"},{"key":"156_CR18","doi-asserted-by":"crossref","unstructured":"Katkovnik, V. (1998). On adaptive local polynomial approximation with varying bandwidth. In Proc. of IEEE International Conference of Acoustics, Speech and Signal Processing, (pp. 2321\u20132324). Seattle, Washington, USA.","DOI":"10.1109\/ICASSP.1998.681614"},{"key":"156_CR19","doi-asserted-by":"crossref","unstructured":"Katkovnik, V. (1998). On multiple window local polynomial approximation with varying adaptive bandwidths. COMPSTAT International Symposium on Computational Statistics, Bristol, United Kingdom.","DOI":"10.1007\/978-3-662-01131-7_47"},{"key":"156_CR20","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1016\/j.dsp.2004.06.004","volume":"15","author":"V. Katkovnik","year":"2005","unstructured":"Katkovnik, V. (2005). Multiresolution local polynomial regression: a new approach to pointwise spatial adaptation. Digital Signal Process., 15, 73\u2013116.","journal-title":"Digital Signal Process."},{"issue":"4","key":"156_CR21","doi-asserted-by":"crossref","first-page":"975","DOI":"10.1109\/TSP.2004.823496","volume":"52","author":"S. C. Chan","year":"2004","unstructured":"Chan, S. C., & Zou, Y. X. (2004). A recursive least M-estimate algorithm for robust adaptive filtering in impulsive noise: Fast algorithm and convergence performance analysis. IEEE Transactions on Signal Processing, 52(4), 975\u2013991, April.","journal-title":"IEEE Transactions on Signal Processing"},{"key":"156_CR22","doi-asserted-by":"crossref","first-page":"1912","DOI":"10.1214\/aos\/1069362378","volume":"25","author":"P. Hall","year":"1997","unstructured":"Hall, P. & Turlach, B. A. (1997). Interpolation methods for nonlinear wavelet regression with irregularly spaced design. Annals of Statistics, 25, 1912\u20131925.","journal-title":"Annals of Statistics"},{"issue":"449","key":"156_CR23","doi-asserted-by":"crossref","first-page":"172","DOI":"10.1080\/01621459.2000.10473912","volume":"95","author":"A. Kovac","year":"2000","unstructured":"Kovac, A., & Silverman, B. W. (2000). Extending the scope of wavelet regression methods by coefficient-dependent thresholding. Journal of the American Statistics Association, 95(449), 172\u2013183.","journal-title":"Journal of the American Statistics Association"},{"issue":"5","key":"156_CR24","doi-asserted-by":"crossref","first-page":"1783","DOI":"10.1214\/aos\/1024691357","volume":"26","author":"T. Cai","year":"1998","unstructured":"Cai, T., & Lawrence, D. B. (1998). Wavelet shrinkage for nonequispaced samples. Annals of Statistics, 26(5), 1783\u20131799, Oct.","journal-title":"Annals of Statistics"},{"issue":"1760","key":"156_CR25","doi-asserted-by":"crossref","first-page":"2397","DOI":"10.1098\/rsta.1999.0439","volume":"357","author":"I. Daubechies","year":"1999","unstructured":"Daubechies, I., Guskov, I., Schr\u00c3\u00b6der, P., & Sweldens, W. (1999). Wavelets on irregular point sets. Phil. Trans. R. Soc. Lon. A, 357(1760), 2397\u20132413.","journal-title":"Phil. Trans. R. Soc. Lon. A"},{"key":"156_CR26","unstructured":"Jansen, M. (2000). Wavelet thresholding on non-equispaced data. In D. D. Denison, M. H. Hansen, C. C. Holmes, B. Mallick, & B. Yu (Eds), Nonlinear Estimation and Classification. Springer Verlag, Lecture notes in Statistics, 171, 261\u2013272."},{"issue":"12","key":"156_CR27","doi-asserted-by":"crossref","first-page":"1979","DOI":"10.1016\/S0165-1684(02)00341-9","volume":"82","author":"E. Vanraes","year":"2002","unstructured":"Vanraes, E., Jansen, M., & Bultheel, A. (2002). Stabilized wavelet transforms for non-equispaced data smoothing. Signal Processing, 82(12), 1979\u20131990, Dec.","journal-title":"Signal Processing"},{"key":"156_CR28","doi-asserted-by":"crossref","first-page":"425","DOI":"10.1093\/biomet\/81.3.425","volume":"81","author":"D. L. Donoho","year":"1994","unstructured":"Donoho, D. L., & Johnstone, I. M. (1994). Ideal spatial adaptation by wavelet shrinkage. Biometrika, 81, 425\u2013455.","journal-title":"Biometrika"},{"key":"156_CR29","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1111\/j.2517-6161.1995.tb02032.x","volume":"57","author":"D. L. Donoho","year":"1995","unstructured":"Donoho, D. L., Johnstone, I. M., Kerkyacharian, G., & Picard, D. (1995). Wavelet shrinkage: Asymptopia? Journal of the Royal Statistics Society Series, B, 57, 301\u2013369.","journal-title":"Journal of the Royal Statistics Society Series, B"},{"key":"156_CR30","unstructured":"Chan, S. C., & Zhang, Z. G. (2004). Robust local polynomial regression using M-estimator with adaptive bandwidth. In Proc. of IEEE International Symposium of Circuits and Systems, (vol. 3, pp. 333\u2013336). Vancouver, Canada."},{"key":"156_CR31","unstructured":"Chan, S. C., & Zhang, Z. G. (2004). Multi-resolution analysis of non-uniform data with jump discontinuities and impulsive noise using robust local polynomial regression. In Proc. of IEEE International Conference of Acoustics, Speech and Signal Processing, (vol. 2, pp. 769\u2013772). Montreal, Canada."}],"container-title":["Journal of Signal Processing Systems"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11265-007-0156-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11265-007-0156-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11265-007-0156-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,1,25]],"date-time":"2025-01-25T13:45:49Z","timestamp":1737812749000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11265-007-0156-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,1,10]]},"references-count":31,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2008,9]]}},"alternative-id":["156"],"URL":"https:\/\/doi.org\/10.1007\/s11265-007-0156-4","relation":{},"ISSN":["1939-8018","1939-8115"],"issn-type":[{"value":"1939-8018","type":"print"},{"value":"1939-8115","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,1,10]]}}}