Multivariate reduced-rank regression
From MaRDI portal
Publication:1271110
zbMath0909.62066MaRDI QIDQ1271110
Raja P. Velu, Gregory C. Reinsel
Publication date: 4 November 1998
Published in: Lecture Notes in Statistics (Search for Journal in Brave)
GMANOVAreduced-rank regressionSURfinancial economicsseemingly unrelated regressiongeneralized multivariate analysis of variancedimension-reduction
Applications of statistics to economics (62P20) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Linear regression; mixed models (62J05) Measures of association (correlation, canonical correlation, etc.) (62H20) Research exposition (monographs, survey articles) pertaining to statistics (62-02) Probabilistic methods, stochastic differential equations (65C99)
Related Items
High-Dimensional Vector Autoregressive Time Series Modeling via Tensor Decomposition ⋮ A Biologically Plausible Neural Network for Multichannel Canonical Correlation Analysis ⋮ Supervised singular value decomposition and its asymptotic properties ⋮ Generalized Least Squares Estimation in Contingency Tables Analysis: Asymptotic Properties and Applications ⋮ Estimation of Low Rank High-Dimensional Multivariate Linear Models for Multi-Response Data ⋮ Generalized reduced rank tests using the singular value decomposition ⋮ Residuals in GMANOVA-MANOVA model with rank restrictions on parameters ⋮ Making a match: combining theory and evidence in policy-oriented macroeconomic modeling ⋮ Structural analysis with multivariate autoregressive index models ⋮ Matrices with special reference to applications in psychometrics ⋮ High-dimensional consistency of rank estimation criteria in multivariate linear model ⋮ Sparse reduced-rank regression with covariance estimation ⋮ Distributed estimation in heterogeneous reduced rank regression: with application to order determination in sufficient dimension reduction ⋮ Low-Rank Inducing Norms with Optimality Interpretations ⋮ Unnamed Item ⋮ Simultaneous dimension reduction and variable selection in modeling high dimensional data ⋮ Robust reduced rank regression in a distributed setting ⋮ Bayesian sparse reduced rank multivariate regression ⋮ Alternating DCA for reduced-rank multitask linear regression with covariance matrix estimation ⋮ A unifying theory of tests of rank ⋮ Small area estimation using reduced rank regression models ⋮ A least squares approach to latent variables extraction in formative-reflective models ⋮ Multivariate factorizable expectile regression with application to fMRI data ⋮ Large-scale multivariate sparse regression with applications to UK Biobank ⋮ Multivariate Functional Regression Via Nested Reduced-Rank Regularization ⋮ A robust proposal of estimation for the sufficient dimension reduction problem ⋮ Asymptotic theory for maximum likelihood estimates in reduced-rank multivariate generalized linear models ⋮ Sparse and kernel OPLS feature extraction based on eigenvalue problem solving ⋮ Computing the degrees of freedom of rank-regularized estimators and cousins ⋮ Unnamed Item ⋮ Human capital estimation in higher education ⋮ Asymptotic Expansion in Reduced Rank Regression Under Normality and Nonnormality ⋮ Multiple change points detection in high-dimensional multivariate regression ⋮ Spectra in low‐rank localized layers (SpeLLL) for interpretable time–frequency analysis ⋮ %Gra: an SAS macro for generalized redundancy analysis ⋮ Sparse reduced-rank regression for simultaneous rank and variable selection via manifold optimization ⋮ Measuring the Advantages of Multivariate vs. Univariate Forecasts ⋮ Rate-optimal robust estimation of high-dimensional vector autoregressive models ⋮ Robust matrix estimations meet Frank-Wolfe algorithm ⋮ Parsimonious structural equation models for repeated measures data, with application to the study of consumer preferences ⋮ Low-Rank Regression Models for Multiple Binary Responses and their Applications to Cancer Cell-Line Encyclopedia Data ⋮ Testing underidentification in linear models, with applications to dynamic panel and asset pricing models ⋮ Inadmissibility of the corrected Akaike information criterion ⋮ Analysis of Double Single Index Models ⋮ Envelope-based sparse reduced-rank regression for multivariate linear model ⋮ On estimation in some reduced rank extended growth curve models ⋮ Rank estimation in reduced-rank regression ⋮ Rank penalized estimators for high-dimensional matrices ⋮ Regularized reduced rank growth curve models ⋮ Fast Estimation of Approximate Matrix Ranks Using Spectral Densities ⋮ Regularized multivariate regression models with skew-\(t\) error distributions ⋮ Reduced-rank regression: a useful determinant identity ⋮ Canonical correlation analysis for the vector AR(1) model with ARCH innovations ⋮ Seemingly unrelated reduced-rank regression model ⋮ Convex optimization methods for dimension reduction and coefficient estimation in multivariate linear regression ⋮ Reduced rank regression with matrix projections for high-dimensional multivariate linear regression model ⋮ On estimation in the reduced-rank regression with a large number of responses and predictors ⋮ Generation of prediction optimal projection on latent factors by a stochastic search algorithm ⋮ An extended redundancy analysis and its applications to two practical examples ⋮ Improved loss estimation for a normal mean matrix ⋮ Degrees of freedom in low rank matrix estimation ⋮ L1 penalty and shrinkage estimation in partially linear models with random coefficient autoregressive errors ⋮ Shrinkage estimation and variable selection in multiple regression models with random coefficient autoregressive errors ⋮ Variational Bayesian functional PCA ⋮ Regularized nonsymmetric correspondence analysis ⋮ Bayes and empirical Bayes methods for reduced rank regression models in matched case‐control studies ⋮ A multivariate reduced-rank growth curve model with unbalanced data ⋮ On a test of dimensionality in redundancy analysis ⋮ Optimal selection of reduced rank estimators of high-dimensional matrices ⋮ Who's afraid of reduced-rank parameterizations of multivariate models? Theory and example ⋮ Bayesian assessment of dimensionality in reduced rank regression ⋮ Regularized multivariate regression for identifying master predictors with application to integrative genomics study of breast cancer ⋮ Moment-based dimension reduction for multivariate response regression ⋮ Leveraging mixed and incomplete outcomes via reduced-rank modeling ⋮ Adaptive estimation of the rank of the coefficient matrix in high-dimensional multivariate response regression models ⋮ Regularized partial and/or constrained redundancy analysis ⋮ Geometric and long run aspects of Granger causality ⋮ FACTORISABLE MULTITASK QUANTILE REGRESSION ⋮ Flexible low-rank statistical modeling with missing data and side information ⋮ Signal extraction approach for sparse multivariate response regression ⋮ Joint variable and rank selection for parsimonious estimation of high-dimensional matrices ⋮ Reduced rank ridge regression and its kernel extensions ⋮ Constrained stochastic extended redundancy analysis ⋮ Model selection criteria for reduced rank multivariate time series: a simulation study ⋮ Structural changes in the cointegrated vector autoregressive model ⋮ Efficient estimation of reduced-rank partial envelope model in multivariate linear regression ⋮ Regularized linear and kernel redundancy analysis ⋮ Input selection and shrinkage in multiresponse linear regression ⋮ Cobra: a package for co-breaking analysis ⋮ A unifying framework for analysing common cyclical features in cointegrated time series ⋮ Some aspects of response variable selection and estimation in multivariate linear regression ⋮ Asymptotic distribution of the reduced rank regression estimator under general conditions ⋮ On the convergence of rank-one multi-target linear regression ⋮ A note on rank reduction in sparse multivariate regression ⋮ Generalized high-dimensional trace regression via nuclear norm regularization ⋮ Canonical correlation analysis and reduced rank regression in autoregressive models ⋮ A state-space approach to time-varying reduced-rank regression