15 Generalized inverse of matrices and applications to linear models

Ridge Regression: Biased Estimation for Nonorthogonal Problems

1970 • 7,167 citations

Ridge Regression: Biased Estimation for Nonorthogonal Problems

2000 • 6,073 citations

Generalized Inverses: Theory and Applications

1976 • 4,620 citations

A generalized inverse for matrices

1955 • 4,215 citations

Estimation with Quadratic Loss

1992 • 2,391 citations

Ridge Regression: Applications to Nonorthogonal Problems

1970 • 2,381 citations

Generalized Inverse of Matrices and Its Applications

1973 • 2,315 citations

Analysis of Variance

1987 • 1,465 citations

Statistical Inference Under Order Restrictions

1975 • 1,456 citations

Generalized Inverse of Matrices and its Applications

1972 • 1,297 citations

Statistical inference under order restrictions

1973 • 809 citations

On best approximate solutions of linear matrix equations

1956 • 732 citations

Regression and the Moore-Penrose Pseudoinverse

1972 • 712 citations

Regression and the Moore-Penrose Pseudoinverse.

1975 • 659 citations

Prediction and Improved Estimation in Linear Models

1979 • 428 citations

Least squares theory using an estimated dispersion matrix and its application to measurement of signals

1967 • 373 citations

The Role of the Group Generalized Inverse in the Theory of Finite Markov Chains

1975 • 364 citations

Series and parallel addition of matrices

1969 • 349 citations

Prediction and Improved Estimation in Linear Models.

1978 • 315 citations

On Canonical Forms, Non-Negative Covariance Matrices and Best and Simple Least Squares Linear Estimators in Linear Models

1967 • 308 citations

When are Gauss-Markov and Least Squares Estimators Identical? A Coordinate-Free Approach

1968 • 242 citations

Estimation of Parameters in a Linear Model

1976 • 242 citations

Representations of best linear unbiased estimators in the Gauss-Markoff model with a singular dispersion matrix

1973 • 195 citations

Unified theory of linear estimation

1971 • 195 citations

On Least Squares with Insufficient Observations

1964 • 176 citations

A Note on a Generalized Inverse of a Matrix with Applications to Problems in Mathematical Statistics

1962 • 165 citations

On Best Linear Estimation and General Gauss-Markov Theorem in Linear Models with Arbitrary Nonnegative Covariance Structure

1969 • 148 citations

Generalized Inverses of Partitioned Matrices

1965 • 146 citations

On the algebra of networks

1953 • 129 citations

Generalized Inverse Matrices (With Applications to Statistics)

1973 • 125 citations

A minimax linear estimator for linear parameters under restrictions in form of inequalities

1975 • 108 citations

Application of calculus of matrices to method of least squares : with special reference to geodetic calculations

1951 • 105 citations

Theory of Errors and Generalized Matrix Inverses

1974 • 86 citations

Generalized Inverse Matrices with Applications to Statistics.

1972 • 77 citations

Linear Spaces and Minimum Variance Unbiased Estimation

1971 • 77 citations

Further contributions to the theory of generalized inverse of matrices and its applications

1971 • 75 citations

Essays on Probability and Statistics

1964 • 73 citations

Unified theory of least squares

1973 • 70 citations

Projections under seminorms and generalized Moore Penrose inverses

1974 • 62 citations

Minimax linear, ridge and shrunken estimators for linear parameters

1975 • 54 citations

A Characterization of Best Linear Unbiased Estimators in the General Linear Model

1980 • 51 citations

The Gauss–Markov Theorem for Regression Models with Possibly Singular Covariances

1973 • 50 citations

Theory and Application of Constrained Inverse of Matrices

1973 • 47 citations

GAUSS-MARKOV ESTIMATION WITH AN INCORRECT DISPERSION MATRIX

1973 • 43 citations

Identifiability and Estimability

1974 • 40 citations

Identifiability and Stability

1989 • 33 citations

Testing linear hypotheses under restricted alternatives

1975 • 27 citations

Precision of individual estimators in simultaneous estimation of parameters

1978 • 27 citations

Characterization of Prior Distributions and Solution to a Compound Decision Problem

1976 • 27 citations

A Bound for the Euclidean Norm of the Difference Between the Least Squares and the Best Linear Unbiased Estimators

1978 • 25 citations

Conditions for Optimality and Validity of Simple Least Squares Theory

1969 • 24 citations

Some recent results in linear estimation

1972 • 22 citations

Shorted operators and generalized inverses of matrices

1979 • 22 citations

Generalized inverses of partitioned matrices and recalculation of least squares estimates for data or model changes

1971 • 21 citations

Calculus of generalized inverses of matrices Part I. General theory

1967 • 21 citations

Unified Least Squares Approach to Linear Estimation in a General Gauss–Markov Model

1973 • 19 citations

Subclasses of generalized inverses of matrices

1970 • 18 citations

A multivariate t probability integral

1973 • 16 citations

Improved inference in linear models with additional information

1975 • 12 citations

EFFICIENT ESTIMATION OF REGRESSION COEFFICIENTS IN TIME SERIES

1972 • 10 citations

OPTIMAL INVERSE OF A MATRIX1

1975 • 8 citations

Extensions of a duality theorem concerning g-inverses of matrices

1975 • 4 citations

Deleted Work

1955 • 0 citations