Chen, Chun-Shu; Huang, Yi-Tsz Some characteristics on the selection of spline smoothing parameter. (English) Zbl 1387.62048 Commun. Stat., Theory Methods 47, No. 6, 1307-1317 (2018). MSC: 62G08 65D10 PDFBibTeX XMLCite \textit{C.-S. Chen} and \textit{Y.-T. Huang}, Commun. Stat., Theory Methods 47, No. 6, 1307--1317 (2018; Zbl 1387.62048) Full Text: DOI
Dermoune, Azzouz; Preda, Cristian Estimation of noisy cubic spline using a natural basis. (English) Zbl 1413.62098 An. Univ. Craiova, Ser. Mat. Inf. 43, No. 1, 33-52 (2016). MSC: 62J05 62F15 65D07 PDFBibTeX XMLCite \textit{A. Dermoune} and \textit{C. Preda}, An. Univ. Craiova, Ser. Mat. Inf. 43, No. 1, 33--52 (2016; Zbl 1413.62098) Full Text: arXiv
Chen, Chun-Shu; Huang, Hsin-Cheng An improved \(C_p\) criterion for spline smoothing. (English) Zbl 1203.62062 J. Stat. Plann. Inference 141, No. 1, 445-452 (2011). MSC: 62G08 65C60 65D10 65D07 PDFBibTeX XMLCite \textit{C.-S. Chen} and \textit{H.-C. Huang}, J. Stat. Plann. Inference 141, No. 1, 445--452 (2011; Zbl 1203.62062) Full Text: DOI
Shang, Zuofeng Convergence rate and Bahadur type representation of general smoothing spline M-estimates. (English) Zbl 1329.62201 Electron. J. Stat. 4, 1411-1442 (2010). MSC: 62G08 62G35 62G20 PDFBibTeX XMLCite \textit{Z. Shang}, Electron. J. Stat. 4, 1411--1442 (2010; Zbl 1329.62201) Full Text: DOI Euclid
Li, Zaixing; Zhu, Lixing On variance components in semiparametric mixed models for longitudinal data. (English) Zbl 1226.62041 Scand. J. Stat. 37, No. 3, 442-457 (2010). MSC: 62G08 62G10 62G20 PDFBibTeX XMLCite \textit{Z. Li} and \textit{L. Zhu}, Scand. J. Stat. 37, No. 3, 442--457 (2010; Zbl 1226.62041) Full Text: DOI
Leung, Bartholomew; Wong, Heung; Zhang, Riquan; Han, Shengtong Smoothing spline estimation for partially linear single-index models. (English) Zbl 1205.62045 Commun. Stat., Simulation Comput. 39, No. 8-10, 1953-1961 (2010). MSC: 62G08 65C60 65D07 62G05 65D10 PDFBibTeX XMLCite \textit{B. Leung} et al., Commun. Stat., Simulation Comput. 39, No. 8--10, 1953--1961 (2010; Zbl 1205.62045) Full Text: DOI
Lee, Youngjo; Nelder, John A.; Pawitan, Yudi Generalized linear models with random effects: unified analysis via \(h\)-likelihood. With CD-ROM. (English) Zbl 1110.62092 Monographs on Statistics and Applied Probability 106. Boca Raton, FL: Chapman & Hall/CRC (ISBN 1-58488-631-5/hbk; 978-1-4200-1134-0/ebook). x, 396 p. (2006). Reviewer: Yuehua Wu (Toronto) MSC: 62J12 62-02 62Pxx PDFBibTeX XMLCite \textit{Y. Lee} et al., Generalized linear models with random effects: unified analysis via \(h\)-likelihood. With CD-ROM. Boca Raton, FL: Chapman \& Hall/CRC (2006; Zbl 1110.62092) Full Text: DOI
Kauermann, Göran A note on smoothing parameter selection for penalized spline smoothing. (English) Zbl 1083.62036 J. Stat. Plann. Inference 127, No. 1-2, 53-69 (2005). MSC: 62G08 62H12 62G20 62J07 PDFBibTeX XMLCite \textit{G. Kauermann}, J. Stat. Plann. Inference 127, No. 1--2, 53--69 (2005; Zbl 1083.62036) Full Text: DOI
Wang, Yuedong GRKPACK: Fitting smoothing spline ANOVA models for exponential families. (English) Zbl 0900.62383 Commun. Stat., Simulation Comput. 26, No. 2, 765-782 (1997). MSC: 62J12 62J10 62G07 65C99 PDFBibTeX XMLCite \textit{Y. Wang}, Commun. Stat., Simulation Comput. 26, No. 2, 765--782 (1997; Zbl 0900.62383) Full Text: DOI
Delecroix, Michel; Simioni, Michel; Thomas-Agnan, Christine Functional estimation under shape constraints. (English) Zbl 0862.62034 J. Nonparametric Stat. 6, No. 1, 69-89 (1996). MSC: 62G07 46N30 90C25 PDFBibTeX XMLCite \textit{M. Delecroix} et al., J. Nonparametric Stat. 6, No. 1, 69--89 (1996; Zbl 0862.62034) Full Text: DOI
Nychka, Douglas Splines as local smoothers. (English) Zbl 0842.62025 Ann. Stat. 23, No. 4, 1175-1197 (1995). MSC: 62G07 PDFBibTeX XMLCite \textit{D. Nychka}, Ann. Stat. 23, No. 4, 1175--1197 (1995; Zbl 0842.62025) Full Text: DOI
Nychka, Douglas; Ruppert, David Nonparametric transformations for both sides of a regression model. (English) Zbl 0827.62037 J. R. Stat. Soc., Ser. B 57, No. 3, 519-532 (1995). MSC: 62G07 PDFBibTeX XMLCite \textit{D. Nychka} and \textit{D. Ruppert}, J. R. Stat. Soc., Ser. B 57, No. 3, 519--532 (1995; Zbl 0827.62037)
Spagolla, A.; Caprile, B. Extending the smoothing spline estimate. (English) Zbl 0810.65009 Math. Comput. Modelling 20, No. 6, 35-43 (1994). Reviewer: S.Filippi (Gießen) MSC: 65D10 65D07 PDFBibTeX XMLCite \textit{A. Spagolla} and \textit{B. Caprile}, Math. Comput. Modelling 20, No. 6, 35--43 (1994; Zbl 0810.65009) Full Text: DOI
Liu, Guanghan A locally correlated process and its applications in Bayesian estimation. (English) Zbl 0793.62046 J. Multivariate Anal. 49, No. 1, 132-149 (1994). MSC: 62M09 60G10 62G05 62G07 62M20 62F15 PDFBibTeX XMLCite \textit{G. Liu}, J. Multivariate Anal. 49, No. 1, 132--149 (1994; Zbl 0793.62046) Full Text: DOI
Riedel, Kurt S.; Imre, Kaya Smoothing spline growth curves with covariates. (English) Zbl 0792.62032 Commun. Stat., Theory Methods 22, No. 7, 1795-1818 (1993). MSC: 62G07 65C99 62H12 65D10 65D07 62P99 PDFBibTeX XMLCite \textit{K. S. Riedel} and \textit{K. Imre}, Commun. Stat., Theory Methods 22, No. 7, 1795--1818 (1993; Zbl 0792.62032) Full Text: DOI arXiv
Chen, Hung; Shiau, Jyh-Jen Horng A two-stage spline smoothing method for partially linear models. (English) Zbl 0741.62039 J. Stat. Plann. Inference 27, No. 2, 187-201 (1991). MSC: 62G07 62J99 PDFBibTeX XMLCite \textit{H. Chen} and \textit{J.-J. H. Shiau}, J. Stat. Plann. Inference 27, No. 2, 187--201 (1991; Zbl 0741.62039) Full Text: DOI
Liu, Kejian Strong consistency of the periodic smoothing splines. (English) Zbl 0734.62044 Syst. Sci. Math. Sci. 4, No. 2, 173-185 (1991). MSC: 62G07 62G20 PDFBibTeX XMLCite \textit{K. Liu}, Syst. Sci. Math. Sci. 4, No. 2, 173--185 (1991; Zbl 0734.62044)
Liu, Kejian; Asano, Chooichiro; Li, Xianping Strong uniform consistency of regression function estimators wheen errors are dependent. (English) Zbl 0721.62040 Theory and applications in computational statistics, Proc. 1st Workshop, Fukuoka/Jap. 1991, 58-69 (1991). MSC: 62G07 62G20 PDFBibTeX XML
Wahba, Grace Spline models for observational data. (English) Zbl 0813.62001 CBMS-NSF Regional Conference Series in Applied Mathematics. 59. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. XII, 169 p. (1990). Reviewer: R.Zielinski (Warszawa) MSC: 62-02 62G07 65C99 65D07 65R20 62G20 45B05 PDFBibTeX XMLCite \textit{G. Wahba}, Spline models for observational data. Philadelphia, PA: SIAM (1990; Zbl 0813.62001) Backlinks: MO
Stein, Michael L. A comparison of generalized cross validation and modified maximum likelihood for estimating the parameters of a stochastic process. (English) Zbl 0734.62091 Ann. Stat. 18, No. 3, 1139-1157 (1990). MSC: 62M20 62G07 60G15 PDFBibTeX XMLCite \textit{M. L. Stein}, Ann. Stat. 18, No. 3, 1139--1157 (1990; Zbl 0734.62091) Full Text: DOI
Nychka, Douglas The average posterior variance of a smoothing spline and a consistent estimate of the average squared error. (English) Zbl 0731.62084 Ann. Stat. 18, No. 1, 415-428 (1990). MSC: 62G07 62G15 PDFBibTeX XMLCite \textit{D. Nychka}, Ann. Stat. 18, No. 1, 415--428 (1990; Zbl 0731.62084) Full Text: DOI
Li, Ker-Chau Asymptotic optimality of \(C_ L\) and generalized cross-validation in ridge regression with application to spline smoothing. (English) Zbl 0629.62043 Ann. Stat. 14, 1101-1112 (1986). MSC: 62G05 62G99 PDFBibTeX XMLCite \textit{K.-C. Li}, Ann. Stat. 14, 1101--1112 (1986; Zbl 0629.62043) Full Text: DOI
Wahba, Grace A comparison of GCV and GML for choosing the smoothing parameter in the generalized spline smoothing problem. (English) Zbl 0596.65004 Ann. Stat. 13, 1378-1402 (1985). Reviewer: Y.Sun MSC: 65D10 65R20 PDFBibTeX XMLCite \textit{G. Wahba}, Ann. Stat. 13, 1378--1402 (1985; Zbl 0596.65004) Full Text: DOI
Vasil’eva, V. N. Estimation of the error of numerical differentiation in the case of approximation by smoothing splines. (Russian) Zbl 0582.41012 Approximate methods in the solution of operator equations and their applications, Collect. Artic., Irkutsk 1982, 48-58 (1982). Reviewer: D.Sanikidze MSC: 41A15 41A25 PDFBibTeX XML
Wahba, Grace Automatic smoothing of the log periodogram. (English) Zbl 0442.62074 J. Am. Stat. Assoc. 75, 122-132 (1980). MSC: 62M10 62M15 62G05 65C05 93E10 65D10 PDFBibTeX XMLCite \textit{G. Wahba}, J. Am. Stat. Assoc. 75, 122--132 (1980; Zbl 0442.62074) Full Text: DOI
Qi, Dong-xu; Tian, Zi-xian; Zhang, Yu-xin; Feng, Jia-bin Curve fitting by method of numerical smoothing. (Chinese) Zbl 0406.65004 Acta Math. Sin. 18, 173-184 (1975). MSC: 65D10 41A15 65D07 PDFBibTeX XMLCite \textit{D.-x. Qi} et al., Acta Math. Sin. 18, 173--184 (1975; Zbl 0406.65004)