Iteratively Reweighted Least Squares for Maximum Likelihood Estimation, and Some Robust and Resistant Alternatives

Maximum Likelihood from Incomplete Data Via the EM Algorithm

1977 • 46,601 citations

A Simplex Method for Function Minimization

1965 • 27,535 citations

Generalized Linear Models

2005 • 21,170 citations

Exploratory Data Analysis

1977 • 12,265 citations

Linear Statistical Inference and its Applications

1973 • 10,599 citations

Generalized Linear Models

1972 • 6,608 citations

Simple mathematical models with very complicated dynamics

1976 • 6,489 citations

Discrete Multivariate Analysis: Theory and Practice.

1975 • 5,202 citations

Function minimization by conjugate gradients

1964 • 4,653 citations

Techniques for Testing the Constancy of Regression Relationships Over Time

1975 • 4,552 citations

An efficient method for finding the minimum of a function of several variables without calculating derivatives

1964 • 4,391 citations

Regression Models for Ordinal Data

1980 • 3,830 citations

On the Convergence Properties of the EM Algorithm

1983 • 3,229 citations

Theoretical Statistics

1974 • 2,786 citations

Analysis of Binary Data

2008 • 2,760 citations

Theory of Statistical Estimation

1925 • 2,696 citations

Robust Regression: Asymptotics, Conjectures and Monte Carlo

1973 • 2,229 citations

Robust regression using iteratively reweighted least-squares

1977 • 1,948 citations

Quasi-likelihood functions, generalized linear models, and the Gauss—Newton method

1974 • 1,839 citations

Data Analysis and Regression.

1979 • 1,739 citations

Exploratory Data Analysis

1978 • 1,637 citations

Statistical Analysis of Non-Lattice Data

1975 • 1,605 citations

Estimation of the probability of an event as a function of several independent variables

1967 • 1,585 citations

Estimating Optimal Transformations for Multiple Regression and Correlation

1985 • 1,572 citations

Dynamic System Identification - Experiment Design and Data Analysis

1977 • 1,425 citations

Logistic Regression Diagnostics

1981 • 1,285 citations

A General Definition of Residuals

1968 • 1,177 citations

THE CALCULATION OF THE DOSAGE‐MORTALITY CURVE

1935 • 1,118 citations

Assessing the accuracy of the maximum likelihood estimator: Observed versus expected Fisher information

1978 • 901 citations

The Fitting of Power Series, Meaning Polynomials, Illustrated on Band-Spectroscopic Data

1974 • 897 citations

Quasi-Likelihood Functions

1983 • 762 citations

An Improved Algorithm for Discrete $l_1 $ Linear Approximation

1973 • 599 citations

Regression and Ordered Categorical Variables

1984 • 520 citations

Linear least squares solutions by householder transformations

1965 • 494 citations

Least Squares Computations by Givens Transformations Without Square Roots

1973 • 483 citations

One-Step Huber Estimates in the Linear Model

1975 • 348 citations

Quasi-Newton Methods for Unconstrained Optimization

1972 • 342 citations

Efficiency of pseudolikelihood estimation for simple Gaussian fields

1977 • 320 citations

Recursive Parameter Estimation Using Incomplete Data

1984 • 317 citations

On the Convergence of the EM Algorithm

1983 • 315 citations

Multivariate Analysis V.

1980 • 283 citations

Introduction to the mathematical theory of genetic linkage.

1961 • 253 citations

Resistant Fits for Some Commonly Used Logistic Models with Medical Applications

1982 • 230 citations

On the existence and uniqueness of the maximum likelihood estimates for certain generalized linear models

1976 • 225 citations

Introduction to the Mathematical Theory of Genetic Linkage.

1962 • 219 citations

Compound Poisson Regression Models

1982 • 212 citations

Regression, Discrimination and Measurement Models for Ordered Categorical Variables

1981 • 194 citations

Concavity of the Log Likelihood

1981 • 181 citations

Composite Link Functions in Generalized Linear Models

1981 • 181 citations

Use of the Box-Cox transformation with binary response models

1982 • 177 citations

Computational Methods for Data Analysis

1979 • 173 citations

The Revision of Earthquake Epicentres, Focal Depths and Origin-Times using a High-Speed Computer

1960 • 162 citations

An exploratory analysis of the Joyner-Boore attenuation data

1984 • 140 citations

MATRIX DECOMPOSITIONS AND STATISTICAL CALCULATIONS††This work was in part supported by the National Science Foundation and Office of Naval Research.

1969 • 130 citations

Fitting Nonlinear Models to Data

1979 • 113 citations

Maximum likelihood estimation and large-sample inference for generalized linear and nonlinear regression models

1983 • 105 citations

Interactive Data Analysis

1978 • 101 citations

Minimax Aspects of Bounded-Influence Regression

1983 • 88 citations

A Note on Maximum Likelihood Estimation for Regression Models Using Grouped Data

1981 • 88 citations

The Delta Algorithm and GLIM

1984 • 87 citations

A Note on the Regression Analysis of Censored Data

1981 • 85 citations

Computational Methods for Data Analysis.

1978 • 74 citations

THE ANALYSIS OF TOXICITY TESTS ON MIXTURES OF POISONS

1942 • 70 citations

Algorithm AS 75: Basic Procedures for Large, Sparse or Weighted Linear Least Problems

1974 • 67 citations

A Constrained Least Squares Approach to the General Gauss-Markov Linear Model

1981 • 64 citations

The Fix-Point Approach to Interdependent Systems

1981 • 63 citations

Numerical computations for univariate linear models

1973 • 63 citations

Score Tests in GLIM with Applications

1982 • 57 citations

On the solution of likelihood equations by iteration processes. The multiparametric case

1962 • 54 citations

Coat colour inheritance in Soay, Orkney and Shetland sheep

1974 • 44 citations

MAXIMUM LIKELIHOOD ESTIMATION BY MEANS OP NONLINEAR LEAST SQUARES

1975 • 42 citations

THE APPLICATION OF MAXIMUM LIKELIHOOD TO DOSAGE-MORTALITY CURVES

1941 • 42 citations

MAXIMUM LIKELIHOOD ESTIMATION IN A LATENT VARIABLE PROBLEM

1983 • 39 citations

On maximum likelihood estimation in sparse contingency tables

1983 • 35 citations

On the solution of the likelihood equation by iteration processes

1961 • 29 citations

THE PROBLEM OF THE EVALUATION OF ROTENONE‐CONTAINING PLANTS

1938 • 28 citations

Iteratively Reweighted Least Squares for Models with a Linear Part

1984 • 26 citations

Approximate methods using ranks for regression with censored data

1983 • 26 citations

On resistant techniques and statistical analysis

1981 • 19 citations

Fitting Linear Models: An Application of Conjugate Gradient Algorithms.

1985 • 19 citations

The Letters of Sacco and Vanzetti

1929 • 15 citations

The Use of Non-Linear Regression Methods for Analyzing Sensitivity and Quantal Response Data

1967 • 13 citations

Algorithm AS 110: L p Norm Fit of a Straight Line

1977 • 13 citations

Direct Likelihood Inference

1982 • 11 citations

Loglinear Models with Composite Link Functions in Genetics

1982 • 6 citations

Fitting Linear Models

1982 • 6 citations

Quantitative analysis of delayed fracture observed in stress rate tests on brittle materials

1982 • 6 citations