{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,11]],"date-time":"2025-02-11T05:04:23Z","timestamp":1739250263443,"version":"3.37.0"},"reference-count":20,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2024,5,1]],"date-time":"2024-05-01T00:00:00Z","timestamp":1714521600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,5,1]],"date-time":"2024-05-01T00:00:00Z","timestamp":1714521600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comput Stat"],"published-print":{"date-parts":[[2025,1]]},"DOI":"10.1007\/s00180-024-01498-x","type":"journal-article","created":{"date-parts":[[2024,5,1]],"date-time":"2024-05-01T16:01:45Z","timestamp":1714579305000},"page":"383-403","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Two-stage regression spline modeling based on local polynomial kernel regression"],"prefix":"10.1007","volume":"40","author":[{"given":"Hamid","family":"Mraoui","sequence":"first","affiliation":[]},{"given":"Ahmed","family":"El-Alaoui","sequence":"additional","affiliation":[]},{"given":"Souad","family":"Bechrouri","sequence":"additional","affiliation":[]},{"given":"Nezha","family":"Mohaoui","sequence":"additional","affiliation":[]},{"given":"Abdelilah","family":"Monir","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2024,5,1]]},"reference":[{"key":"1498_CR1","doi-asserted-by":"publisher","first-page":"359","DOI":"10.1016\/0304-4076(91)90107-O","volume":"47","author":"WK Andrews Donald","year":"1991","unstructured":"Andrews Donald WK (1991) Asymptotic optimality of generalized $$C_L$$, cross-validation, and generalized cross-validation in regression with heteroskedastic errors. J Economet 47:359\u2013377","journal-title":"J Economet"},{"key":"1498_CR2","doi-asserted-by":"publisher","first-page":"829","DOI":"10.1080\/01621459.1979.10481038","volume":"74","author":"WS Cleveland","year":"1979","unstructured":"Cleveland WS (1979) Robust locally weighted regression and smoothing scatterplots. J Am Stat Assoc 74:829\u2013836","journal-title":"J Am Stat Assoc"},{"key":"1498_CR3","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1214\/ss\/1038425655","volume":"11","author":"PHC Eilers","year":"1996","unstructured":"Eilers PHC, Marx BD (1996) Flexible smoothing with B-splines and penalties (with Discussion). Stat Sci 11:89\u2013121","journal-title":"Stat Sci"},{"key":"1498_CR4","doi-asserted-by":"publisher","first-page":"2008","DOI":"10.1214\/aos\/1176348900","volume":"20","author":"J Fan","year":"1992","unstructured":"Fan J, Gijbels I (1992) Variable bandwidth and local linear regression smoothers. Ann Stat 20:2008\u20132036","journal-title":"Ann Stat"},{"key":"1498_CR5","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. Chapman & Hall, London"},{"key":"1498_CR6","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4899-4473-3","volume-title":"Nonparametric regression and generalized linear models","author":"PJ Green","year":"1994","unstructured":"Green PJ, Silverman BW (1994) Nonparametric regression and generalized linear models. Chapman and Hall, London"},{"issue":"2","key":"1498_CR7","doi-asserted-by":"publisher","first-page":"259","DOI":"10.1002\/cjs.5550330207","volume":"33","author":"BW John","year":"2005","unstructured":"John BW, Huang LS (2005) Kernel Spline Regression. Can J Stat\/La Revue Canadienne de Statistique 33(2):259\u2013278","journal-title":"Can J Stat\/La Revue Canadienne de Statistique"},{"key":"1498_CR8","doi-asserted-by":"publisher","DOI":"10.1007\/b98858","volume-title":"Local regression and likelihood","author":"C Loader","year":"1999","unstructured":"Loader C (1999) Local regression and likelihood. Springer Verlag, New York"},{"key":"1498_CR9","unstructured":"Lyche T, M\u00f8rken K (2008) Spline methods, draft. Department of Informatics, University of Oslo. http:\/\/heim.ifi.uio.no\/knutm\/komp04.pdf"},{"key":"1498_CR10","unstructured":"Lyche T, Manni C, Speleers H (2017) B-splines and spline approximation. https:\/\/www.mat.uniroma2.it\/speleers\/cime2017\/material\/notes_lyche.pdf"},{"key":"1498_CR11","unstructured":"Ramshaw L (1987) Blossoming: a connect-the-dots approach to splines. Technical Research Report 19. Digital Equipment Corporation, Systems Research Center, Palo Alto"},{"key":"1498_CR12","doi-asserted-by":"publisher","first-page":"1346","DOI":"10.1214\/aos\/1176325632","volume":"22","author":"D Ruppert","year":"1994","unstructured":"Ruppert D, Wand MP (1994) Multivariate locally weighted least squares regression. Ann Stat 22:1346\u20131370","journal-title":"Ann Stat"},{"key":"1498_CR13","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511755453","volume-title":"Semiparametric regression","author":"D Ruppert","year":"2003","unstructured":"Ruppert D, Wand MP, Carroll RJ (2003) Semiparametric regression. Cambridge University Press"},{"key":"1498_CR14","volume-title":"Spline functions: basic theory","author":"LL Schumaker","year":"1974","unstructured":"Schumaker LL (1974) Spline functions: basic theory. Prentice Hall"},{"key":"1498_CR15","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1111\/j.2517-6161.1985.tb01327.x","volume":"47","author":"BW Silverman","year":"1985","unstructured":"Silverman BW (1985) Some aspects of the spline smoothing approach to nonparametric regression curve fitting (with discussion). J R Stat Soc Ser B 47:1\u201352","journal-title":"J R Stat Soc Ser B"},{"key":"1498_CR16","doi-asserted-by":"publisher","first-page":"595","DOI":"10.1214\/aos\/1176343886","volume":"5","author":"CJ Stone","year":"1977","unstructured":"Stone CJ (1977) Consistent nonparametric regression. Ann Stat 5:595\u2013645","journal-title":"Ann Stat"},{"key":"1498_CR17","doi-asserted-by":"publisher","DOI":"10.1007\/b13794","volume-title":"Introduction to nonparametric estimation","author":"A Tsybakov","year":"2009","unstructured":"Tsybakov A (2009) Introduction to nonparametric estimation. Springer, New York"},{"key":"1498_CR18","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970128","volume-title":"Spline models for observing data","author":"G Wahba","year":"1990","unstructured":"Wahba G (1990) Spline models for observing data. SIAM, Philadelphia"},{"key":"1498_CR19","doi-asserted-by":"publisher","first-page":"259","DOI":"10.1016\/j.jkss.2008.01.003","volume":"37","author":"F Yao","year":"2008","unstructured":"Yao F, Lee TCM (2008) On knot placement for penalized spline regression. J Korean Stat Soc 37:259\u2013267","journal-title":"J Korean Stat Soc"},{"key":"1498_CR20","doi-asserted-by":"publisher","first-page":"187","DOI":"10.1006\/jmva.1996.0060","volume":"59","author":"Lu Zhan-Qian","year":"1996","unstructured":"Zhan-Qian Lu (1996) Multivariate locally weighted polynomial fitting and partial derivatives estimation. J Multivar 59:187\u2013205","journal-title":"J Multivar"}],"container-title":["Computational Statistics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00180-024-01498-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00180-024-01498-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00180-024-01498-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,2,10]],"date-time":"2025-02-10T06:49:05Z","timestamp":1739170145000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00180-024-01498-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,5,1]]},"references-count":20,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2025,1]]}},"alternative-id":["1498"],"URL":"https:\/\/doi.org\/10.1007\/s00180-024-01498-x","relation":{},"ISSN":["0943-4062","1613-9658"],"issn-type":[{"type":"print","value":"0943-4062"},{"type":"electronic","value":"1613-9658"}],"subject":[],"published":{"date-parts":[[2024,5,1]]},"assertion":[{"value":"28 July 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 April 2024","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 May 2024","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}