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Splines in Statistics*

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by Ian W
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Citations

635 Robust estimation of a location parameter - Huber - 1964
383 Some results on Tchebycheffian spline functions - Kimeldorf, Wahba - 1971
305 The influence curve and its role in robust estimation. - Hampel - 1974
218 A correspondance between bayesian estimation of stochastic processes and smoothing by splines. - Kimeldorf, Wahba - 1970
117 Non-parametric Roughness Penalties for Probability Densities - Good, Gaskins - 1971
72 A completely automatic french curve: Fitting spline functions by crossvalidation - Wahba, Wold - 1975
26 Spline functions in data analysis. - Wold - 1974
21 Periodic splines and spectral estimation. - COGBURN, DAVIS - 1974
19 Spline transformations: Three new diagnostic aids for statistical data-analyst - Boneva, Kendall, et al. - 1971
17 Smoothing noisy data by spline functions, - Wahba - 1975
16 Optimal convergence properties of variable knot, kernel and orthogonal series methods for density estimation. - Wahba - 1975
15 Smoothing by spline functions II, - Reinsch - 1971
13 Nonparametric maximum likelihood estimation of probability densities by penalty function methods,” Ann. - Montricher, Tapia, et al. - 1975
11 Periodic Splines for Spectral Density Estimation: The Use of Cross-Validation for Determining the Degree of Smoothing - Wahba, Wold - 1975
11 Some asymptotic results for the periodogram of a stationary time series. - Walker - 1965
10 Criteria for selecting of a subset regression; which one should be used - Hocking - 1972
7 Interpolating spline methods for density estimation - Wahba - 1975
6 On the choice of flattening constants for estimating multinomial probabilities - Fienberg, Holland - 1972
6 Construction of Spline Functions in a Convex Set - Laurent - 1969
5 Approximations with Special Emphasis on Spline Functions - Schoenberg - 1969
5 Vector spline and the estimation of filter functions. - Wegman - 1981
4 A polynomial algorithm for density estimation - Wahba - 1971
2 Generalized spline interpolation and nonlinear programming - Ritter - 1969
1 The Theory of Splines and Their Applieations - Ahlberg, Nilson, et al. - 1967 (Show Context)

Citation Context

... with some general remarks on isotonic splines. We shall reserve the symbol 0 for the differentiation operator and the symbol L 2 for the set of measurable square integrable functions on the interval =-=[0,1]-=-. The symbol W will denote the set of functions f on [0,1] for which Ojf m is absolutely continuous for j = O,l, ... ,m-l and Omf is in L 2 . When we occasionally consider functions with domain other ...

1 Fonctions (spline) definies sur un ensemble convexe", Nwn - Attiha - 1968
1 Statistical Inference under Order Restrz:ctions - Barlow, Bartholomew, et al. - 1972
1 Theory and Application of Spline Functions - Grevi11e - 1969
1 Inference in an authorsip problem - Mosteller, Wallace - 1963
1 Notes on spline functions II. On the smoothing histograms - Schoenberg - 1972
1 Splines and Histograms - Schoenberg - 1972
1 Convergence Properties of the Method of Regularization for Noisy Linear Operator Equations'!, TSR - Wahba - 1973
1 Spline Methods in Statistics, H.Sc - Wright - 1977
1 Isotonic, convex and related splines", Institute of Statistics Mimeo Series - Wright, Wegman - 1977
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