Maximum Likelihood Approaches to Variance Component Estimation and to Related Problems

An Algorithm for Least-Squares Estimation of Nonlinear Parameters

1963 • 29,357 citations

A method for the solution of certain non-linear problems in least squares

1944 • 11,440 citations

Linear Statistical Inference and its Applications

1973 • 10,599 citations

Recovery of inter-block information when block sizes are unequal

1971 • 3,597 citations

Linear Models

1971 • 3,354 citations

Maximum Likelihood Approaches to Variance Component Estimation and to Related Problems

1977 • 2,325 citations

Nonlinear Parameter Estimation

1975 • 2,178 citations

Best Linear Unbiased Estimation and Prediction under a Selection Model

1975 • 2,069 citations

Bayes Estimates for the Linear Model

1972 • 1,875 citations

Journal of the Royal Statistical Society.

1921 • 1,670 citations

Estimation of Variance and Covariance Components

1953 • 1,307 citations

Stein's Estimation Rule and its Competitors—An Empirical Bayes Approach

1973 • 860 citations

SIRE EVALUATION AND GENETIC TRENDS

1973 • 799 citations

Statistical Genetics and Plant Breeding

1963 • 765 citations

Statistical Theory in Research.

1953 • 628 citations

Numerical Methods for Unconstrained Optimization

1975 • 590 citations

SIRE EVALUATION AND GENETIC TRENDS

1973 • 579 citations

The Theory of Statistical Inference

1973 • 574 citations

Estimation of variance and covariance components—MINQUE theory

1971 • 562 citations

Maximum-likelihood estimation for the mixed analysis of variance model

1967 • 556 citations

Bayesian inference for variance components using only error contrasts

1974 • 524 citations

Introduction to Matrices with Applications in Statistics

1970 • 459 citations

Numerical methods for constrained optimization

1974 • 456 citations

The Theory of Statistical Inference.

1972 • 452 citations

Extension of the Gauss-Markov Theorem to Include the Estimation of Random Effects

1976 • 427 citations

Restricted Maximum Likelihood (REML) Estimation of Variance Components in the Mixed Model

1976 • 423 citations

Introduction to Matrices with Applications in Statistics

1970 • 420 citations

Maximization by Quadratic Hill-Climbing

1966 • 360 citations

Estimation of Variance and Covariance Components in Linear Models

1972 • 334 citations

Estimation of Heteroscedastic Variances in Linear Models

1970 • 331 citations

The Created Response Surface Technique for Optimizing Nonlinear, Restrained Systems

1961 • 315 citations

Linear Statistical Inference and Its Applications

1966 • 306 citations

Minimum variance quadratic unbiased estimation of variance components

1971 • 305 citations

The Problem of Negative Estimates of Variance Components

1962 • 304 citations

A Handbook of Numerical Matrix Inversion and Solution of Linear Equations

1969 • 284 citations

Comparison of Gradient Methods for the Solution of Nonlinear Parameter Estimation Problems

1970 • 262 citations

Asymptotically Efficient Estimation of Covariance Matrices with Linear Structure

1973 • 258 citations

Linear Dynamic Recursive Estimation from the Viewpoint of Regression Analysis

1972 • 243 citations

A Biometrics Invited Paper. Topics in Variance Component Estimation

1971 • 202 citations

Linear Algebra and Matrix Theory

1995 • 180 citations

Multivariate Empirical Bayes and Estimation of Covariance Matrices

1976 • 174 citations

Elimination of Linear Parameters in Nonlinear Regression

1971 • 143 citations

Statistical Theory in Research

1953 • 140 citations

Linear Bayesian Methods

1969 • 134 citations

Newton-Raphson and Related Algorithms for Maximum Likelihood Variance Component Estimation

1976 • 134 citations

Invariant Quadratic Unbiased Estimation for Two Variance Components

1976 • 132 citations

Quadratic Estimation of Variance Components

1973 • 132 citations

Properties of Model II--Type Analysis of Variance Tests, A: Optimum Nature of the $F$-Test for Model II in the Balanced Case

1959 • 131 citations

Computing Maximum Likelihood Estimates for the Mixed A.O.V. Model Using the W Transformation

1973 • 131 citations

The Estimation of Variance and Covariance Components with an Application when Records are Subject to Culling

1973 • 130 citations

Newton-Raphson and Related Algorithms for Maximum Likelihood Variance Component Estimation

1976 • 128 citations

A Comparison of Variance Component Estimators

1976 • 118 citations

A Survey of Numerical Methods for Unconstrained Optimization

1970 • 114 citations

Numerical Methods for Unconstrained Optimization

2017 • 110 citations

Handbook of Numerical Matrix Inversion and Solution of Linear Equations.

1968 • 104 citations

Theorems Concerning Eisenhart's Model II

1961 • 100 citations

Maximum likelihood estimation of variance components

1980 • 91 citations

Mean Square Efficiency of Estimators of Variance Components

1969 • 89 citations

Another Look at Henderson's Methods of Estimating Variance Components

1968 • 87 citations

The Combination of Information in Generally Balanced Designs

1968 • 84 citations

Statistical Papers in Honor of George W. Snedecor

1973 • 69 citations

Asymptotic Properties of Maximum Likelihood Estimators in Some Nonstandard Cases

1971 • 67 citations

Large Sample Variances of Maximum Likelihood Estimators of Variance Components Using Unbalanced Data

1970 • 67 citations

Marginal and conditional sufficiency

1975 • 63 citations

Expectations, variances and covariances of anova mean squares by 'synthesis'.

1967 • 51 citations

Regression, Model-Building and Invariance

1968 • 51 citations

Best Quadratic Unbiased Estimation of Variance Components from Unbalanced Data in the 1-Way Classification

1971 • 50 citations

Iterative Estimation of Variance Components for Non-Orthogonal Data

1969 • 48 citations

ONE-WAY VARIANCES IN A TWO-WAY CLASSIFICATION

1958 • 47 citations

An Algorithmic Approach to Nonlinear Analysis and Optimization

1973 • 42 citations

Prediction, Mixed Models, and Variance Components

1973 • 42 citations

Essays on Probability and Statistics

1964 • 41 citations

An Algorithmic Approach to Nonlinear Analysis and Optimization

1970 • 41 citations

An interative procedure for estimating fixed effects and variance components in mixed model situations.

1968 • 38 citations

An Iterative Procedure for Estimating Fixed Effects and Variance Components in Mixed Model Situations

1968 • 38 citations

Some Analytical and Numerical Comparisons of Estimators for the Mixed A.O.V. Model

1975 • 36 citations

Asymptotic Properties of Maximum Likelihood Estimators in Some Nonstandard Cases, II

1973 • 35 citations

Asymptotic Properties and Computation of Maximum Likelihood Estimates in the Mixed Model of the Analysis of Variance

1973 • 29 citations

Quadratic unbiased estimation of variance components for the one-way classification

1969 • 27 citations

On Expectations, Variances, and Covariances of ANOVA Mean Squares by 'Synthesis'

1968 • 24 citations

An Example of an Inquadmissible Analysis of Variance Estimator for a Variance Component

1975 • 22 citations

Estimation of Covariance Matrices with Linear Structure and Moving Average Processes of Finite Order

1971 • 17 citations

A computer program for the mixed analysis of variance model based on maximum likelihood

1970 • 13 citations

Some Remarks on Herbach's Paper, "Optimum Nature of the F-Test for Model II in the Balanced Case"

1959 • 12 citations

A Note on the W Transformation

1975 • 5 citations

Corrections: Quadratic Unbiased Estimation of Variance Components for the One-Way Classification

1970 • 1 citations