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Some Aspects of the Spline Smoothing Approach to Non-Parametric Regression Curve Fitting

Data up to Jan 2025

Published1985
Citations1,015
References96

Total Citations Per Year

Abstract

References (96)

Generalized Linear Models

2005 • 21,170 citations

An analysis of variance test for normality (complete samples)

1965 • 16,216 citations

A Practical Guide to Splines

1978 • 11,700 citations

Robust Locally Weighted Regression and Smoothing Scatterplots

1979 • 10,049 citations

Cross-Validatory Choice and Assessment of Statistical Predictions

1974 • 8,849 citations

The Jackknife, the Bootstrap and Other Resampling Plans

1982 • 7,816 citations

Robust Statistics

1981 • 6,585 citations

Ridge Regression: Biased Estimation for Nonorthogonal Problems

2000 • 6,073 citations

Principles of geostatistics

1963 • 4,467 citations

Bayesian Inference in Statistical Analysis.

1975 • 3,994 citations

Recovery of inter-block information when block sizes are unequal

1971 • 3,597 citations

Smoothing noisy data with spline functions

1978 • 3,289 citations

Spatial statistics

1981 • 2,923 citations

Probability and Random Processes

2004 • 2,788 citations

Smooth Regression Analysis

1964 • 2,671 citations

Residuals and Influence in Regression

1984 • 2,664 citations

Smoothing by spline functions

1967 • 2,217 citations

Projection Pursuit Regression

1981 • 2,099 citations

A Technique for the Numerical Solution of Certain Integral Equations of the First Kind

1962 • 2,001 citations

Generalized Linear Models

1983 • 1,923 citations

Residuals and Influence in Regression.

1983 • 1,919 citations

Data Analysis and Regression.

1979 • 1,739 citations

Smoothing noisy data with spline functions

1975 • 1,496 citations

Application of Least Squares Regression to Relationships Containing Auto-Correlated Error Terms

1949 • 1,372 citations

Encyclopedia of Statistical Sciences.

1983 • 1,268 citations

Statistical Predictor Identification

1998 • 1,221 citations

Additive Regression and Other Nonparametric Models

1985 • 1,210 citations

Bayesian Inference in Statistical Analysis

1974 • 1,151 citations

A Correspondence Between Bayesian Estimation on Stochastic Processes and Smoothing by Splines

1970 • 955 citations

Nonparametric Functional Estimation

1983 • 818 citations

Kernel estimation of regression functions

1979 • 811 citations

Cross-Validatory Choice and Assessment of Statistical Predictions (With Discussion)

1976 • 661 citations

Iteratively Reweighted Least Squares for Maximum Likelihood Estimation, and Some Robust and Resistant Alternatives

1984 • 651 citations

Bayesian “Confidence Intervals” for the Cross-Validated Smoothing Spline

1983 • 609 citations

Some New Mathematical Methods for Variational Objective Analysis Using Splines and Cross Validation

1980 • 558 citations

An optimal selection of regression variables

1981 • 537 citations

Improper Priors, Spline Smoothing and the Problem of Guarding Against Model Errors in Regression

1978 • 535 citations

A Comparison of GCV and GML for Choosing the Smoothing Parameter in the Generalized Spline Smoothing Problem

1985 • 513 citations

Presentations of faithful d.g. near-rings

1980 • 498 citations

On a New Method of Graduation

1922 • 461 citations

Spline Smoothing: The Equivalent Variable Kernel Method

1984 • 442 citations

Non-Parametric Function Fitting

1972 • 440 citations

SPLINE FUNCTIONS AND THE PROBLEM OF GRADUATION

1964 • 429 citations

Non-parametric Roughness Penalty for Probability Densities

1971 • 425 citations

Multivariate interpolation at arbitrary points made simple

1979 • 418 citations

Spline Functions in Data Analysis

1974 • 372 citations

Splines As a Useful and Convenient Statistical Tool

1979 • 342 citations

Splines in Statistics

1983 • 327 citations

On the Estimation of a Probability Density Function by the Maximum Penalized Likelihood Method

1982 • 295 citations

Nonparametric Roughness Penalties for Probability Densities

1971 • 294 citations

Inference in Two-Phase Regression

1971 • 294 citations

Algorithm AS 176: Kernel Density Estimation Using the Fast Fourier Transform

1982 • 285 citations

The Signal Extraction Approach to Nonlinear Regression and Spline Smoothing

1983 • 276 citations

Automatic Smoothing of Regression Functions in Generalized Linear Models

1986 • 270 citations

Two graphical displays for outlying and influential observations in regression

1981 • 251 citations

Density Estimation and Bump-Hunting by the Penalized Likelihood Method Exemplified by Scattering and Meteorite Data

1980 • 240 citations

Ridge Regression and James-Stein Estimation: Review and Comments

1979 • 217 citations

Jackknifing in Unbalanced Situations

1977 • 214 citations

Strong uniform convergence rates in robust nonparametric time series analysis and prediction: Kernel regression estimation from dependent observations

1986 • 195 citations

On the Smoothing of Probability Density Functions

1958 • 184 citations

The Log Likelihood Ratio in Segmented Regression

1975 • 166 citations

Spline Transformations: Three New Diagnostic Aids for the Statistical Data-Analyst

1971 • 162 citations

Asymptotics for $M$-Type Smoothing Splines

1983 • 161 citations

Optimal Convergence Properties of Variable Knot, Kernel, and Orthogonal Series Methods for Density Estimation

1975 • 160 citations

Smoothing Splines: Regression, Derivatives and Deconvolution

1983 • 153 citations

Asymptotic Integrated Mean Square Error Using Least Squares and Bias Minimizing Splines

1980 • 148 citations

A comparison of kriging with nonparametric regression methods

1985 • 118 citations

Propri�t�s de convergence presque compl�te du pr�dicteur � noyau

1984 • 115 citations

Two methods with different objectives: Splines and kriging

1983 • 101 citations

Smoothing and interpolation by kriging and with splines

1984 • 93 citations

A Fast and Efficient Cross-Validation Method for Smoothing Parameter Choice in Spline Regression

1984 • 92 citations

Penalized maximum likelihood estimation in logistic regression and discrimination

1982 • 75 citations

Computing in Statistical Science Through APL

1985 • 73 citations

Cubic Splines as a Special Case of Restricted Least Squares

1977 • 70 citations

Density Ratios, Empirical Likelihood and Cot Death

1978 • 70 citations

Nonlinear Principal Component Analysis

1982 • 63 citations

Linear models for field trials, smoothing and cross-validation

1985 • 56 citations

Approximate regression models and splines

1984 • 51 citations

The hat matrix for smoothing splines

1984 • 51 citations

Sur le choix du param�tre d'ajustement dans le lissage par fonctions spline

1980 • 48 citations

A stochastic framework for recursive computation of spline functions: Part II, smoothing splines

1980 • 46 citations

Iterative Solution of Systems Originating from Integral Equations and Surface Interpolation

1983 • 42 citations

Calibration, Cross-Validation and Carbon-14. I

1979 • 36 citations

Robust Smoothing

1979 • 32 citations

A Bayesian approach to prediction using polynomials

1977 • 30 citations

Trend Surface Analysis and Spatial Correlation

1972 • 29 citations

On the maximal deviation of the kernel regression function estimate

1982 • 28 citations

Multiparameter Univariate Bayesian Analysis

1979 • 22 citations

Hermite series estimates of a probability density and its derivatives

1984 • 22 citations

Robust splines

1977 • 20 citations

On the Smoothness Properties of the Best Linear Unbiased Estimate of a Stochastic Process Observed with Noise

1983 • 18 citations

Identification of trends in annual maximum sea levels using robust locally weighted regression

1983 • 16 citations

Canonical Analysis with B-splines

1982 • 13 citations

Calibration, Cross-Validation and Carbon-14. II

1980 • 12 citations

Multivariate thin plate spline estimates for the posterior probabilities in the classification problem

1983 • 11 citations

Social mobility measures for cross-national comparisons

1985 • 6 citations

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