Data-Based Optimal Smoothing of Orthogonal Series Density Estimates

[1]  David W. Scott,et al.  Monte Carlo Study of Three Data-Based Nonparametric Probability Density Estimators , 1981 .

[2]  G. Wahba,et al.  Some New Mathematical Methods for Variational Objective Analysis Using Splines and Cross Validation , 1980 .

[3]  I. Good,et al.  Density Estimation and Bump-Hunting by the Penalized Likelihood Method Exemplified by Scattering and Meteorite Data , 1980 .

[4]  G. Wahba.  Automatic Smoothing of the Log Periodogram , 1980 .

[5]  E. Parzen.  Nonparametric Statistical Data Modeling , 1979 .

[6]  Michael E. Tarter,et al.  Trigonometric Maximum Likelihood Estimation and Application to the Analysis of Incomplete Survival Information , 1979 .

[7]  G. Wahba.  Convergence rates of "thin plate" smoothing splines wihen the data are noisy , 1979 .

[8]  G. Wahba.  How to Smooth Curves and Surfaces with Splines and Cross-Validation , 1979 .

[9]  Heather A. Camber,et al.  Choice of an optimal shape parameter when smoothing noisy data , 1979 .

[10]  H. D. Brunk.  Univariate density estimation by orthogonal series , 1978 .

[11]  Peter Craven,et al.  Smoothing noisy data with spline functions , 1978 .

[12]  Tom Leonard.  Density Estimation, Stochastic Processes and Prior Information , 1978 .

[13]  G. Walter.  Properties of Hermite Series Estimation of Probability Density , 1977 .

[14]  K. B. Davis.  Mean Integrated Square Error Properties of Density Estimates , 1977 .

[15]  D. W. Scott,et al.  Kernel density estimation revisited , 1977 .

[16]  G. Wahba.  Optimal Smoothing of Density Estimates , 1977 .

[17]  Robert P. W. Duin,et al.  On the Choice of Smoothing Parameters for Parzen Estimators of Probability Density Functions , 1976, IEEE Transactions on Computers.

[18]  R. Kronmal,et al.  An Introduction to the Implementation and Theory of Nonparametric Density Estimation , 1976 .

[19]  G. Wahba.  Optimal Convergence Properties of Variable Knot, Kernel, and Orthogonal Series Methods for Density Estimation. , 1975 .

[20]  G. Wahba,et al.  Periodic splines for spectral density estimation: the use of cross validation for determining the degree of smoothing , 1975 .

[21]  W. Fellner.  Heuristic estimation of probability densities , 1974 .

[22]  H. T. Davis,et al.  Periodic Splines and Spectral Estimation , 1974 .

[23]  G. Wahba.  Regression Design for Some Equivalence Classes of Kernels , 1974 .

[24]  G. Wahba.  Convergence rates of certain approximate solutions to Fredholm integral equations of the first kind , 1973 .

[25]  M. Woodroofe.  On Choosing a Delta-Sequence , 1970 .

[26]  R. Kronmal,et al.  The Estimation of Probability Densities and Cumulatives by Fourier Series Methods , 1968 .

[27]  Richard Askey,et al.  Mean convergence of expansions in Laguerre and Hermite series , 1965 .

[28]  E. Parzen.  On Estimation of a Probability Density Function and Mode , 1962 .

[29]  P. Whittle.  On the Smoothing of Probability Density Functions , 1958 .

[30]  M. Rosenblatt.  Remarks on Some Nonparametric Estimates of a Density Function , 1956 .

[31]  R. A. Gaskins,et al.  Nonparametric roughness penalties for probability densities , 2022 .