[1] MR2005787 Wahba, Grace ; Lin, Yi ; Lee, Yoonkyung ; Zhang, Hao Optimal properties and adaptive tuning of standard and nonstandard support vector machines.
Nonlinear estimation and classification (Berkeley, CA, 2001),
129--147, Lecture Notes in Statist., 171, Springer, New York, 2003. 62H30
[2] MR1947755 Wahba, Grace Soft and hard classification by reproducing kernel Hilbert space methods.
Proc. Natl. Acad. Sci. USA 99 (2002), no. 26, 16524--16530 (electronic). 62H30 (46N30)
[3] MR1952725 (2003m:62176) Gao, Fangyu ; Wahba, Grace ; Klein, Ronald ; Klein, Barbara Smoothing spline ANOVA for multivariate Bernoulli observations, with application to ophthalmology data.
With comments and a rejoinder by the authors.
J. Amer. Statist. Assoc. 96 (2001), no. 453, 127--160. 62H12 (62J05 62J10 62P10)
[4] MR1836583 (2002h:62104) Wahba, G. Adaptive tuning, 4-D Var and representers in RKHS.
State of the art in probability and statistics (Leiden, 1999),
582--592, IMS Lecture Notes Monogr. Ser., 36, Inst. Math. Statist., Beachwood, OH, 2001. (Reviewer: Donald Myers) 62G05 (62H12 86A10)
[5] MR1835032 (2002j:62056) Lin, Xiwu ; Wahba, Grace ; Xiang, Dong ; Gao, Fangyu ; Klein, Ronald ; Klein, Barbara Smoothing spline ANOVA models for large data sets with Bernoulli observations and the randomized GACV.
Ann. Statist. 28 (2000), no. 6, 1570--1600. (Reviewer: Andreas Futschik) 62G08 (62J10 65D10 68T05)
[6] MR1436101 (98e:62061) Luo, Zhen ; Wahba, Grace Hybrid adaptive splines.
J. Amer. Statist. Assoc. 92 (1997), no. 437, 107--116. (Reviewer: Girdhar G. Agarwal) 62G05
[7] MR1422706 (97i:65027) Wahba, Grace ; Luo, Zhen Smoothing spline ANOVA fits for very large, nearly regular data sets, with application to historical global climate data.
The heritage of P. L. Chebyshev: a Festschrift in honor of the 70th birthday of T. J. Rivlin.
Ann. Numer. Math. 4 (1997), no. 1-4, 579--597. 65D10
[8] MR1410740 (98f:62117) Xiang, Dong ; Wahba, Grace A generalized approximate cross validation for smoothing splines with non-Gaussian data.
Statist. Sinica 6 (1996), no. 3, 675--692. 62G05
[9] MR1389856 (97f:62074) Wahba, Grace ; Wang, Yuedong ; Gu, Chong ; Klein, Ronald ; Klein, Barbara
Smoothing spline ANOVA for exponential families, with application to
the Wisconsin Epidemiological Study of Diabetic Retinopathy.
Ann. Statist. 23 (1995), no. 6, 1865--1895. (Reviewer: Girdhar G. Agarwal) 62G05 (41A15 65D07 92D30)
[10] MR1365026 (96h:62082) Wahba, Grace ; Wang, Yuedong Behavior near zero of the distribution of GCV smoothing parameter estimates.
Statist. Probab. Lett. 25 (1995), no. 2, 105--111. 62G05
[11] MR1272389 (94m:62144) Gu, Chong ; Wahba, Grace Smoothing spline ANOVA with component-wise Bayesian "confidence intervals".
J. Comput. Graph. Statist. 2 (1993), no. 1, 97--117. 62G15 (62J10)
[12] MR1224400 (94h:62056) Gu, Chong ; Wahba, Grace Semiparametric analysis of variance with tensor product thin plate splines.
J. Roy. Statist. Soc. Ser. B 55 (1993), no. 2, 353--368. 62G05
[13] MR1179628 Gu, Chong ; Heckman, Nancy ; Wahba, Grace A note on generalized cross-validation with replicates.
Statist. Probab. Lett. 14 (1992), no. 4, 283--287. 62G05
[14] MR1123782 Wahba, Grace Multivariate model building with additive interaction and tensor product thin plate splines.
Curves and surfaces (Chamonix-Mont-Blanc, 1990),
491--504, Academic Press, Boston, MA, 1991. 65D07
[15] MR1087766 (92a:65051) Gu, Chong ; Wahba, Grace Minimizing GCV/GML scores with multiple smoothing parameters via the Newton method.
SIAM J. Sci. Statist. Comput. 12 (1991), no. 2, 383--398. 65D10 (49M15 65K10 65Y10)
[16] MR1075497 (91j:65201) Wahba, Grace ; Wang, Yong Hua When is the optimal regularization parameter insensitive to the choice of the loss function?
Comm. Statist. Theory Methods 19 (1990), no. 5, 1685--1700. 65R20 (45L99 62G99)
[17] MR1045442 (91g:62028) Wahba, Grace Spline models for observational data.
CBMS-NSF Regional Conference Series in Applied Mathematics, 59. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1990. xii+169 pp. ISBN: 0-89871-244-0 (Reviewer: Girdhar G. Agarwal) 62G05 (62J02 65D10 65U05)
[18] MR1016796 (90m:65084) Gu, Chong ; Bates, Douglas M. ; Chen, Ze Hua ; Wahba, Grace
The computation of generalized cross-validation functions through
Householder tridiagonalization with applications to the fitting of
interaction spline models.
SIAM J. Matrix Anal. Appl. 10 (1989), no. 4, 457--480. 65F30 (41A65 62J07 65U05)
[19] MR1008061 (90h:62103) Wahba, G. Partial and interaction spline models.
Bayesian statistics, 3 (Valencia, 1987),
479--491, Oxford Sci. Publ., Oxford Univ. Press, New York, 1988. 62G05 (62J02 65D07)
[20] MR0971580 (90a:62109) Horng Shiau, Jyh-Jen ; Wahba, Grace Rates of convergence of some estimators for a semiparametric model.
Comm. Statist. Simulation Comput. 17 (1988), no. 4, 1117--1133. 62G05
[21] MR0924859 (89f:62037) Cox, Dennis ; Koh, Eunmee ; Wahba, Grace ; Yandell, Brian S. Testing the (parametric) null model hypothesis in (semiparametric) partial and generalized spline models.
Ann. Statist. 16 (1988), no. 1, 113--119. (Reviewer: Wilfried Grossmann) 62G05 (62F03)
[22] MR1020307 (90j:65149) Wahba, Grace Three topics in ill-posed problems.
Inverse and ill-posed problems (Sankt Wolfgang, 1986),
37--51, Notes Rep. Math. Sci. Engrg., 4, Academic Press, Boston, MA, 1987. (Reviewer: Autorreferat) 65P05
[23] MR0883352 (88e:62106) Villalobos, Miguel ; Wahba, Grace Inequality-constrained multivariate smoothing splines with application to the estimation of posterior probabilities.
J. Amer. Statist. Assoc. 82 (1987), no. 397, 239--248. (Reviewer: M. Hu\v sková) 62G05 (62H12)
[24] MR0883131 Bates, Douglas M. ; Lindstrom, Mary J. ; Wahba, Grace ; Yandell, Brian S. GCVPACK-routines for generalized cross validation.
Comm. Statist. B---Simulation Comput. 16 (1987), no. 1, 263--297. 62-04
[25] MR0927524 (88k:41019) Wahba, Grace Multivariate thin plate spline smoothing with positivity and other linear inequality constraints.
Statistical image processing and graphics (Luray, Va., 1983),
275--289, Statist. Textbooks Monogr., 72, Dekker, New York, 1986. (Reviewer: A. Bultheel) 41A15 (65D07)
[26] MR0870453 (88a:86008) Wahba, Grace Partial spline modelling of the tropopause and other discontinuities.
Function estimates (Arcata, Calif., 1985),
125--135, Contemp. Math., 59, Amer. Math. Soc., Providence, RI, 1986. 86A35 (65D07)
[27] MR0811498 (87h:65030) Wahba, Grace A comparison of GCV and GML for choosing the smoothing parameter in the generalized spline smoothing problem.
Ann. Statist. 13 (1985), no. 4, 1378--1402. (Reviewer: G. P. Bhattacharjee) 65D10 (62G05 62J02 65D05)
[28] MR0787253 Wahba, Grace Cross validated spline methods for direct and indirect sensing experiments.
Statistical signal processing (Annapolis, Md., 1982),
179--190, Statist. Textbooks Monogr., 53, Dekker, New York, 1984. 65D07
[29] MR0770276 (86b:62118) Nychka, Douglas ; Wahba, Grace ; Goldfarb, Stanley ; Pugh, Thomas
Cross-validated spline methods for the estimation of three-dimensional
tumor size distributions from observations on two-dimensional cross
sections.
J. Amer. Statist. Assoc. 79 (1984), no. 388, 832--846. (Reviewer: E. F. Schuster) 62J99 (62G05)
[30] MR0736179 (86c:65017) Wahba, Grace Surface fitting with scattered noisy data on Euclidean $D$-space and on the sphere.
Surfaces (Stanford, Calif., 1982).
Rocky Mountain J. Math. 14 (1984), no. 1, 281--299. (Reviewer: Wolfgang Boehm) 65D10 (65D07)
[31] MR0701084 (84k:62054) Wahba, Grace Bayesian "confidence intervals" for the cross-validated smoothing spline.
J. Roy. Statist. Soc. Ser. B 45 (1983), no. 1, 133--150. 62F15 (62J02)
[32] MR0697810 (84e:62072) Villalobos, Miguel A. ; Wahba, Grace Multivariate thin plate spline estimates for the posterior probabilities in the classification problem.
Comm. Statist. A---Theory Methods 12 (1983), no. 13, 1449--1479. 62G05 (62H30 65D07)
[33] MR0755363 Bates, Douglas M. ; Wahba, Grace Computational methods for generalized cross-validation with large data sets.
Treatment of integral equations by numerical methods (Durham, 1982),
283--296, Academic Press, London, 1982. 65R20 (65D10)
[34] MR0719923 (85k:65015) Wahba, Grace Vector splines on the sphere, with application to the estimation of vorticity and divergence from discrete, noisy data.
Multivariate approximation theory, II (Oberwolfach, 1982),
407--429, Internat. Ser. Numer. Math., 61, Birkhäuser, Basel, 1982. (Reviewer: D. C. Handscomb) 65D10 (41A15 62M20)
[35] MR0705326 (85e:45011) Wahba, Grace Constrained regularization for ill-posed linear operator equations, with applications in meteorology and medicine.
Statistical decision theory and related topics, III, Vol. 2 (West Lafayette, Ind., 1981),
383--418, Academic Press, New York, 1982. (Reviewer: V. V. Vasin) 45L05 (65R20 92A07)
[36] MR0667835 (84j:65016b) Wahba, Grace Erratum: "Spline interpolation and smoothing on the sphere".
SIAM J. Sci. Statist. Comput. 3 (1982), no. 3, 385--386. 65D07 (41A15 65D05)
[37] MR0641546 (83a:65014) Dyn, Nira ; Wahba, Grace On the estimation of functions of several variables from aggregated data.
SIAM J. Math. Anal. 13 (1982), no. 1, 134--152. 65D07 (92A15 92A20)
[38] MR0720405 (84m:65135) Wahba, Grace A new approach to the numerical evaluation of the inverse Radon transform with discrete, noisy data.
Mathematical aspects of computerized tomography (Oberwolfach, 1980),
189--203, Lecture Notes in Med. Inform., 8, Springer, Berlin-New York, 1981. (Reviewer: F. W. Stallmann) 65R10 (92A07)
[39] MR0642576 (82m:62252) Wahba, Grace Numerical experiments with the thin plate histospline.
Comm. Statist. A---Theory Methods 10 (1981), no. 24, 2475--2514. 62P99 (92A15)
[40] MR0618629 (84j:65016a) Wahba, Grace Spline interpolation and smoothing on the sphere.
SIAM J. Sci. Statist. Comput. 2 (1981), no. 1, 5--16. 65D07 (41A15 65D05)
[41] MR0615422 (83a:41035) Micchelli, Charles A. ; Wahba, Grace Design problems for optimal surface interpolation.
Approximation theory and applications (Proc. Workshop, Technion---Israel Inst. Tech., Haifa, 1980),
pp. 329--348, Academic Press, New York-London, 1981. (Reviewer: Avraham A. Melkman) 41A63 (41A05 65D05)
[42] MR0600541 (82c:62059) Wahba, Grace Data-based optimal smoothing of orthogonal series density estimates.
Ann. Statist. 9 (1981), no. 1, 146--156. (Reviewer: Bradford R. Crain) 62G05
[43] MR0602818 (82b:65009) Wahba, Grace
Spline bases, regularization, and generalized cross validation for
solving approximation problems with large quantities of noisy data.
Approximation theory, III (Proc. Conf., Univ. Texas, Austin, Tex., 1980),
pp. 905--912, Academic Press, New York-London, 1980. (Reviewer: Dietrich Braess) 65D15 (41A15 41A63)
[44] MR0567380 (81g:62159) Wahba, Grace Parameter estimation in linear dynamic systems.
IEEE Trans. Automat. Control 25 (1980), no. 2, 235--238. (Reviewer: Bennett Eisenberg) 62M10 (62K99 93E11)
[45] MR0564269 (81h:65137) Wahba, G. Smoothing and ill-posed problems.
Solution methods for integral equations,
pp. 183--194, Math. Concepts Methods Sci. Engrg., 18, Plenum, New York-London, 1979. (Reviewer: Charles W. Groetsch) 65R20 (65D25)
[46] MR0564261 (81j:62081) Wahba, Grace Convergence rate of "thin plate" smoothing splines when the data are noisy (preliminary report).
Smoothing techniques for curve estimation (Proc. Workshop, Heidelberg, 1979),
pp. 233--245, Lecture Notes in Math., 757, Springer, Berlin, 1979. (Reviewer: Philip W. Smith) 62G05 (41A15 65D07)
[47] MR0554473 (80m:65010) Wahba, Grace How to smooth curves and surfaces with splines and cross-validation.
Proceedings of the Twenty-Fourth Conference on the Design of
Experiments (Math. Res. Center, Univ. Wisconsin, Madison, Wis., 1978),
pp. 167--192, ARO Rep. 79, 2, U. S. Army Res. Office, Research Triangle Park, N.C., 1979. 65D07 (41A15)
[48] MR0541607 (81h:93105) Wahba, Grace
Practical techniques of optimal smoothing, with application to the
numerical differentiation of noisy data and smoothing of log spectral
density estimates.
Information linkage between applied mathematics and industry
(Proc. First Annual Workshop, Naval Postgraduate School, Monterey,
Calif., 1978),
pp. 575--577, Academic Press, New York-London, 1979. (Reviewer: Anthony Ephremides) 93E10
[49] MR0533250 (81e:62079) Golub, Gene H. ; Heath, Michael ; Wahba, Grace Generalized cross-validation as a method for choosing a good ridge parameter.
Technometrics 21 (1979), no. 2, 215--223. (Reviewer: Colin L. Mallows) 62J07
[50] MR0526276 (80i:65089) Athavale, Manohar L. ; Wahba, Grace Determination of an optimal mesh for a collocation-projection method for solving two-point boundary value problems.
J. Approx. Theory 25 (1979), no. 1, 38--49. (Reviewer: Jacob Steinberg) 65L10
[51] MR0522220 (80f:62047) Wahba, Grace Improper priors, spline smoothing and the problem of guarding against model errors in regression.
J. Roy. Statist. Soc. Ser. B 40 (1978), no. 3, 364--372. (Reviewer: Adolfo Gili) 62G05 (41A15 62F15 62J05)
[52] MR0516581 (81g:65018) Craven, Peter ; Wahba, Grace
Smoothing noisy data with spline functions. Estimating the correct
degree of smoothing by the method of generalized cross-validation.
Numer. Math. 31 (1978/79), no. 4, 377--403. 65D10 (62M99 65D07)
[53] MR0657229 (58 #31849) Miranker, W. L. ; van Veldhuizen, M. ; Wahba, G. Two methods for the stiff highly oscillatory problem.
Topics in numerical analysis, III (Proc. Roy. Irish Acad. Conf., Trinity Coll., Dublin, 1976),
pp. 257--273. Academic Press, London, 1977. (Reviewer: H.-O. Kreiss) 65L05
[54] MR0494648 (58 #13474) Wahba, Grace A survey of some smoothing problems and the method of generalized cross-validation for solving them.
Applications of statistics (Proc. Sympos., Wright State Univ., Dayton, Ohio, 1976),
pp. 507--523. North-Holland, Amsterdam, 1977. 62F10 (62G05)
[55] MR0471299 (57 #11036) Wahba, Grace Practical approximate solutions to linear operator equations when the data are noisy.
SIAM J. Numer. Anal. 14 (1977), no. 4, 651--667. (Reviewer: J. Cullum) 65J05 (65D25 65R05)
[56] MR0471167 (57 #10905) Wahba, Grace Optimal smoothing of density estimates.
Classification and clustering (Proc. Adv. Sem., Univ. Wisconsin, Madison, Wis., 1976),
pp. 423--458. Math. Res. Center Publ., No. 37, Academic Press, New York, 1977. (Reviewer: Luc P. Devroye) 62G05
[57] MR0445706 (56 #4041) Wahba, Grace Histosplines with knots which are order statistics.
J. Roy. Statist. Soc. Ser. B 38 (1976), no. 2, 140--151. (Reviewer: Denis Bosq) 62G05 (62G30)
[58] MR0423817 (54 #11791) Miranker, W. L. ; Wahba, G. An averaging method for the stiff highly oscillatory problem.
Math. Comp. 30 (1976), no. 135, 383--399. (Reviewer: W. H. Enright) 65L05
[59] MR0407512 (53 #11287) Wahba, Grace On the optimal choice of nodes in the collocation-projection method for solving linear operator equations.
J. Approximation Theory 16 (1976), no. 2, 175--186. (Reviewer: Howard L. Weinert) 41A65 (65K05)
[60] MR0655432 (58 #31675) Wahba, G. ; Wold, S. A completely automatic French curve: fitting spline functions by cross validation.
Comm. Statist. 4 (1975), 1--17. 62M99 (41A15)
[61] MR0431668 (55 #4663) Nashed, M. Z. ; Wahba, Grace Some exponentially decreasing error bounds for a numerical inversion of the Laplace transform.
J. Math. Anal. Appl. 52 (1975), no. 3, 660--668. (Reviewer: Ja. I. Alber) 65J05 (65D30)
[62] MR0428658 (55 #1679) Wahba, G. ; Wold, S. Periodic splines for spectral density estimation: the use of cross validation for determining the degree of smoothing.
Comm. Statist. 4 (1975), 125--141. (Reviewer: M. A. Mirzahmedov) 62M15
[63] MR0405795 (53 #9587) Wahba, Grace Smoothing noisy data with spline functions.
Numer. Math. 24 (1975), no. 5, 383--393. (Reviewer: J. Buchanan) 65D10
[64] MR0370906 (51 #7129) Wahba, Grace Interpolating spline methods for density estimation. I. Equi-spaced knots.
Ann. Statist. 3 (1975), 30--48. (Reviewer: M. Raghavachari) 62G05 (41A15)
[65] MR0362682 (50 #15122) Wahba, Grace Optimal convergence properties of variable knot, kernel, and orthogonal series methods for density estimation.
Ann. Statist. 3 (1975), 15--29. (Reviewer: E. F. Schuster) 62G05
[66] MR0461895 (57 #1877) Nashed, M. Z. ; Wahba, Grace Convergence rates of approximate least squares solutions of linear integral and operator equations of the first kind.
Math. Comp. 28 (1974), 69--80. 65J05 (47A50)
[67] MR0378315 (51 #14483) Wahba, Grace Regression design for some equivalence classes of kernels.
Ann. Statist. 2 (1974), 925--934. (Reviewer: E. Parzen) 62M10 (62K05)
[68] MR0365192 (51 #1445) Nashed, M. Z. ; Wahba, Grace Regularization and approximation of linear operator equations in reproducing kernel spaces.
Bull. Amer. Math. Soc. 80 (1974), 1213--1218. (Reviewer: H. Langer) 47A50 (46E20)
[69] MR0358405 (50 #10871) Nashed, M. Z. ; Wahba, Grace Generalized inverses in reproducing kernel spaces: an approach to regularization of linear operator equations.
SIAM J. Math. Anal. 5 (1974), 974--987. (Reviewer: S. Goldberg) 47A50
[70] MR0386284 (52 #7142) Wahba, Grace A class of approximate solutions to linear operator equations.
J. Approximation Theory 9 (1973), 61--77. (Reviewer: H. F. Weinberger) 65L10 (47A50)
[71] MR0346453 (49 #11178) Wahba, Grace Convergence rates of certain approximate solutions to Fredholm integral equations of the first kind.
J. Approximation Theory 7 (1973), 167--185. (Reviewer: P. M. Anselone) 45L05
[72] MR0321534 (47 #10067) Wahba, Grace On the minimization of a quadratic functional subject to a continuous family of linear inequality constraints.
SIAM J. Control 11 (1973), 64--79. (Reviewer: R. N. P. Singh) 90C20
[73] MR0303652 (46 #2788) Wahba, Grace A polynomial algorithm for density estimation.
Ann. Math. Statist. 42 (1971), 1870--1886. (Reviewer: E. Parzen) 62G05
[74] MR0290013 (44 #7198) Kimeldorf, George ; Wahba, Grace Some results on Tchebycheffian spline functions.
J. Math. Anal. Appl. 33 1971 82--95. (Reviewer: L. Raymon) 41.60 (46.00)
[75] MR0287658 (44 #4861) Wahba, Grace Some tests of independence for stationary multivariate time series.
J. Roy. Statist. Soc. Ser. B 33 1971 153--166. 62.85
[76] MR0279955 (43 #5676) Wahba, Grace On the regression design problem of Sacks and Ylvisaker.
Ann. Math. Statist. 42 1971 1035--1053. (Reviewer: Lionel Weiss) 62.85
[77] MR0303594 (46 #2731) Kimeldorf, George S. ; Wahba, Grace Spline functions and stochastic processes.
Sankhy\=a Ser. A 32 (1970), 173--180. (Reviewer: E. Parzen) 60G25 (62M10)
[78] MR0254999 (40 #8206) Kimeldorf, George S. ; Wahba, Grace A correspondence between Bayesian estimation on stochastic processes and smoothing by splines.
Ann. Math. Statist. 41 1970 495--502. (Reviewer: I. Vajda) 62.85
[79] MR0253505 (40 #6719) Wahba, Grace Estimation of the coefficients in a multidimensional distributed lag model.
Econometrica 37 1969 398--407. 62.85
[80] MR0237070 (38 #5363) Wahba, Grace On the distribution of some statistics useful in the analysis of jointly stationary time series.
Ann. Math. Statist 39 1968 1849--1862. (Reviewer: D. R. Brillinger) 62.85
