On projection pursuit regression
From MaRDI portal
Publication:912527
DOI10.1214/aos/1176347126zbMath0698.62041OpenAlexW2094670798MaRDI QIDQ912527
Publication date: 1989
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aos/1176347126
convergence rateskernel estimationbiasnonparametric regressionprojection approximationprojection pursuit regressiontwo-stage algorithmexplicit formulaecurve estimatesmarginal density of errors in projection directionorientation estimatesrandow window
Multivariate analysis (62H99) Nonparametric estimation (62G05) Characterization and structure theory for multivariate probability distributions; copulas (62H05)
Related Items
Projection pursuit multi-index (PPMI) models, An Adaptive Estimation of Dimension Reduction Space, Asymptotics for a censored generalized linear model with unknown link function, Estimation for a partial-linear single-index model, Estimating the direction in which a data set is most interesting, Model structure selection in single-index-coefficient regression models, Semiparametric single index versus fixed link function modelling, Nonlinear confounding in high-dimensional regression, Choice of regressors in nonparametric estimation, Functional projection pursuit regression, Heteroscedastic modelling via the autoregressive conditional variance subspace, Metric Learning via Cross-Validation, Efficient inferences on the varying-coefficient single-index model with empirical likelihood, B spline variable selection for the single index models, Fréchet single index models for object response regression, On completely data-driven bandwidth selection for single-index models, Projection expectile regression for sufficient dimension reduction, Functional single index models for longitudinal data, Analysis of the rate of convergence of two regression estimates defined by neural features which are easy to implement, Proving consistency of non-standard kernel estimators, Application of the Bootstrap Approach to the Choice of Dimension and the α Parameter in the SIRαMethod, A novel partial-linear single-index model for time series data, Nearest neighbor inverse regression, Nonparametric significance testing and group variable selection, Oracally efficient estimation for single-index link function with simultaneous confidence band, Projection pursuit discriminant analysis, Statistical modelling via dimension reduction methods, Inverse regression method in data structure analysis, Structural adaptation via \(\mathbb L_p\)-norm oracle inequalities, Inverse regression for longitudinal data, The recovery of ridge functions on the hypercube suffers from the curse of dimensionality, Additive nonparametric regression on principal components, Supervised Dimension Reduction of Intrinsically Low-Dimensional Data, Semi-parametric estimation of partially linear single-index models, On an asymptotically more efficient estimation of the single-index model, Semiparametric Regression Models with Applications to Scoring: A Review, A graphical tool for selecting the number of slices and the dimension of the model in SIR and SAVE approaches, Universal pointwise selection rule in multivariate function estimation, Multivariate Association and Dimension Reduction: A Generalization of Canonical Correlation Analysis, ERROR VARIANCE ESTIMATION FOR THE SINGLE-INDEX MODEL, Single-index model-assisted estimation in survey sampling, A Semiparametric Approach to Canonical Analysis, Nonparametric estimation of single-index models in scale-space, Asymptotics for kernel estimate of sliced inverse regression, An Extended Single‐index Model with Missing Response at Random, Applied regression analysis bibliography update 1988-89, Projection pursuit discriminant analysis for two groups, Application of projection pursuit learning to boundary detection and deblurring in images, High dimensional single index models, The partially linear regression model: Monte Carlo evidence from the projection pursuit regression approach.
