Donald A. S. Fraser

Donald A. S. Fraser's AcademicInfluence.com Rankings

Donald A. S. Fraser

Mathematics

#2645

World Rank

#4050

Historical Rank

Statistics

#190

World Rank

#241

Historical Rank

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Mathematics

Why Is Donald A. S. Fraser Influential?

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According to Wikipedia, Donald Alexander Stuart Fraser was a Canadian statistician, and Professor Emeritus at the University of Toronto. In 2012 he was appointed an Officer of the Order of Canada for his influence in the advancement of the statistical sciences in Canada. In 1961 he was elected as a Fellow of the American Statistical Association. In 1985, he was awarded the first Gold Medal of the Statistical Society of Canada. In 2014 he was chosen as a fellow of the American Mathematical Society "for contributions to the theory and foundations of statistics, as well as for leadership and influence on the advancement of the statistical sciences."

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Donald A. S. Fraser's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The Structure of Inference. (1969) (420)
Nonparametric methods in statistics (1957) (382)
A simple general formula for tail probabilities for frequentist and Bayesian inference (1999) (164)
Inference and Linear Models. (1981) (138)
Is Bayes Posterior just Quick and Dirty Confidence (2011) (126)
Ancillaries and Third Order Significance (1995) (121)
Approximations of marginal tail probabilities and inference for scalar parameters (1990) (115)
Nonparametric Estimation IV (1951) (111)
The fiducial method and invariance (1961) (110)
Ancillaries and Conditional Inference (2004) (93)
Statistical Inference: Likelihood to Significance (1991) (83)
Tail probabilities from observed likelihoods (1990) (82)
Statistics: An Introduction (1960) (73)
ANCILLARY STATISTICS: A REVIEW (2010) (71)
Randomization Tests for a Multivariate Two-Sample Problem (1958) (71)
On principles and arguments to likelihood (1986) (69)
Structural probability and a generalization (1966) (57)
Sufficient Statistics with Nuisance Parameters (1956) (56)
Necessary Analysis and Adaptive Inference (1976) (54)
Non-Parametric Methods in Statistics. (1958) (47)
Nonparametric Tolerance Regions (1953) (47)
Strong matching of frequentist and Bayesian parametric inference (2002) (46)
On Information in Statistics (1965) (46)
Exponential Linear Models: A Two‐Pass Procedure for Saddlepoint Approximation (1991) (45)
On Fiducial Inference (1961) (45)
Ancillary Information for Statistical Inference (2001) (44)
Likelihood for component parameters (2003) (44)
Likelihood centered asymptotic model exponential and location model versions (1998) (42)
Regression analysis, nonlinear or nonnormal simple and accurate p values from likelihood analysis (1999) (41)
Data Transformations and the Linear Model (1967) (41)
Bhattacharyya Bounds without Regularity Assumptions (1952) (39)
Some probability distributions. (1958) (38)
Second order ancillary: A differential view from continuity (2010) (37)
Structural Probability and Prediction for the Multivariate Model (1969) (35)
Most Powerful Rank-type Tests (1957) (34)
Adjustments to profile likelihood (1989) (34)
Third order asymptotic models: likelihood functions leading to accurate approximations for distribution functions (2000) (34)
Sequentially Determined Statistically Equivalent Blocks (1951) (33)
Normed likelihood as saddlepoint approximation (1988) (33)
Studentization and deriving accurate p-values (2008) (33)
Likelihood inference in the presence of nuisance parameters (2003) (31)
Conical tests: Observed levels of significance and confidence regions (1985) (31)
Simple and accurate inference for the mean of the gamma model (1997) (30)
On Sufficiency and the Exponential Family (1963) (30)
Categorical information and the singular linear model (1980) (30)
Mean loglikelihood and higher-order approximations (2010) (29)
Local Conditional Sufficiency (1964) (28)
Further remarks on asymptotic normality of likelihood and conditional analyses (1984) (27)
On conditional inference for a real parameter: A differential approach on the sample space (1988) (26)
A Mixed Prinmal-Dual Bases Algorithm for Regression under Inequality Constraints. Application to Concave regression (2016) (25)
The p-value Function and Statistical Inference (2019) (24)
Why does statistics have two theories (2014) (24)
Inference for bounded parameters (2003) (23)
On the Sufficiency and Likelihood Principles (1963) (22)
A further note on the bivariate normal distribution (1980) (22)
Some aspects of matching priors (2003) (22)
Completeness of Order Statistics (1954) (21)
Accurate Directional Inference for Vector Parameters in Linear Exponential Families (2014) (21)
BAYES, LIKELIHOOD, OR STRUCTURAL' (1972) (20)
Bayes, Reproducibility and the Quest for Truth (2016) (18)
COMPUTATION OF DISTRIBUTION FUNCTIONS FROM LIKELIHOOD INFORMATION NEAR OBSERVED DATA (2005) (18)
Accurate directional inference for vector parameters (2016) (18)
Mean likelihood and higher order approximations (18)
Higher Accuracy for Bayesian and Frequentist Inference: Large Sample Theory for Small Sample Likelihood (2007) (16)
Nonnormal linear regression; An example of significance levels in high dimensions (1990) (15)
On asymptotic normality of likelihood and conditional analysis (1982) (14)
Sufficient Statistics and Selection Depending on the Parameter (1952) (14)
p-Values: The Insight to Modern Statistical Inference (2017) (13)
Non-Parametric Theory: Scale and Location Parameters (1954) (13)
A Vector Form of the Wald-Wolfowitz-Hoeffding Theorem (1956) (13)
An approximation for the noncentral chi-squared distribution (1998) (12)
Generalized Hit Probabilities with a Gaussian Target, II (1951) (12)
Parameter Factorization and Inference Based on Significance, Likelihood, and Objective Posterior (1975) (12)
What a model with data says about theta (2004) (12)
Fiducial inference for location and scale parameters (1964) (12)
The Determination of Likelihood and the Transformed Regression Model (1972) (12)
Some remarks on pivotal models and the fiducial argument in relation to structural models. Rejoinder (1996) (12)
When should modes of inference disagree? Some simple but challenging examples (2018) (11)
On foundations for conditional probability with statistical models—When is a class of functions a function (1979) (11)
Highly accurate likelihood analysis for the seemingly unrelated regression problem (2005) (11)
Multiparameter testing in exponential models: Third order approximations from likelihood (1994) (11)
Some alternatives to Edgeworth (1993) (10)
Exponential Models: Approximations for Probabilities (2011) (10)
On Local Unbiased Estimation (1964) (10)
Serial correlation and distributions on the shere (1976) (10)
On the Consistency of the Fiducial Method (1962) (9)
Conditional inference for treatment and error in multivariate analysis (1991) (8)
Third Order Asymptotic Model: Exponential And Location Type Approximations (1995) (8)
Theories of inference or simple additives (1981) (8)
Higher order approximations with generalized linear models (1994) (8)
Confidence Bounds for a set of Means (1952) (8)
Comparison of Inference Philosophies (1974) (8)
Mixtures, embedding, and ancillarity (1985) (7)
Non-nested linear models: A conditional confidence approach (1987) (7)
Combining likelihood and significance functions (2019) (7)
Some remarks on conditional and unconditional inference for location-scale models (1980) (7)
Fibre analysis and tangent models (1987) (6)
Confidence, Posterior Probability, and the Buehler Example (1977) (6)
A Regression Analysis Using the Invariance Method (1957) (6)
Some Corrections for Bayes Curvature (6)
On regularity for statistical models (1985) (6)
Statistical Models and Invariance (1967) (6)
On a Directionally Adjusted Metropolis-Hastings Algorithm (2009) (6)
On Local Inference and Information (1964) (5)
Approximate Studentization with marginal and conditional inference (1993) (5)
Directional tests and statistical frames (1993) (5)
On the Combining of Interblock and Intrablock Estimates (1957) (5)
Sequential parameter structure, conditional inference, and likelihood drop (1987) (4)
ON THE DEFINITION OF PROBABILITY DENSITIES AND SUFFICIENCY OF IWE LIKELMOOD MAP (1995) (4)
Statistical Methods and Scientific Inference.@@@Nonparametric Statistics for the Behavioral Sciences.@@@Nonparametric Methods in Statistics. (1957) (4)
The Conditional Wishart: Normal and Nonnormal (1968) (4)
On default priors and approximate location models (2011) (4)
Linear calibra and conditional inference (1987) (4)
DEVELOPING p-VALUES: A BAYESIAN-FREQUENTIST CONVERGENCE (2005) (3)
Estimating Functions and Higher Order Significance (1997) (3)
Post-Data Two Sample Tests of Location: Comments (1973) (3)
On the Equivalence of Standard Inference Procedures (1976) (3)
On comparing two methods for approximate conditional inference (1988) (3)
Inference for linear models with radially decomposable error (1994) (3)
Inference and Redundant Parameters (1973) (3)
Setting confidence intervals for bounded parameters: a different perspective (2003) (3)
A simplification of the traditional statistical model in the presence of symmetry (1981) (3)
An optimum tolerance region for multivariate regression (1980) (3)
Location Reparameterization and Default Priors for Statistical Analysis (2002) (3)
Introduction to Bartlett (1937) Properties of Sufficiency and Statistical Tests (1992) (3)
Discussion: The Functional-Model Basis of Fiducial Inference (1982) (3)
Location inference on spheres and cylinders (1988) (3)
On generalization of the analysis of variance (1988) (2)
Bayes' confidence. (2013) (2)
Second‐order inference for generalized least squares (1987) (2)
Bayesian inference: an approach to statistical inference (2010) (2)
An Algorithm for Concave Regression (1987) (2)
COMBINING p-VALUES : A DEFINITIVE PROCESS 4 (2)
Randomized Models and the Dilution and Bioassay Problems (1971) (2)
The second order ancillary is rotation based (2010) (2)
Fiducial consistency and group structure (1965) (2)
On the foundations: Statistical models and inference (1982) (2)
Third order asymptotics: connections among test quantities (1992) (2)
Inference and decision (1975) (2)
DEFNITIVE TESTING OF AN INTEREST PARAMETER: USING PARAMETER CONTINUITY (2016) (2)
Normal Samples With Linear Constraints and Given Variances (1951) (2)
Views on conditional and marginal methods of statistical inference (1990) (1)
Can Bayes give second-order reproducibility ? (2014) (1)
On the Technometrics review of The Structure of Inference. (1972) (1)
Note on the chi 2 smooth test. (1950) (1)
[The Geometry of Asymptotic Inference]: Comment (1989) (1)
Statistical inference: Some theoretical methods and directions (2007) (1)
Vector Exponential Models and Second Order Inference (2012) (1)
The Weibull Model, objective form, and linear analysis (1982) (1)
The Bias in Bayes and how to measure it (2012) (1)
The differential prior gives second order inference for scalar and vector parameters (2013) (1)
The linear Lasso: A location model approach (2022) (1)
Inference, Statistical—II (2004) (1)
Assessing an interest parameter: the data and a definitive reference distribution (2012) (1)
Prior-likelihood factorization and missing data (1986) (1)
Bayesian Analysis or Evidence Based Statistics? (2011) (1)
Model analysis with structural and stochastic partial information (1982) (1)
On Evolution of Statistical Inference (2018) (1)
Studentization and the determination of p-values (2008) (0)
RADIALLY DECOMPOSABLE ERROR (2016) (0)
Sampling from finite populations. (1958) (0)
Simple probability distributions. (1958) (0)
Improved directional inference for categorical data (2008) (0)
IS r LINEAR IN r (2008) (0)
Sampling from probability distributions. (1958) (0)
Exponential Models : Approximations for Probabilities 97 2 Approximating (2011) (0)
Sampling inspection and sequential analysis. (1958) (0)
Necessary Analysis and Adaptive Inference: Rejoinder (1976) (0)
Probability and Statistics: Theory and Applications@@@An Introduction to Probability Theory and Mathematical Statistics (1977) (0)
The theory of hypothesis testing. (1956) (0)
Discussion of Confidence Distribution Functions (2012) (0)
Canonical exponential family parameters (2008) (0)
The estimation of real parameters and tolerance regions. (1956) (0)
Testing a scalar or vector interest parameter : the data and a definitive null distribution (0)
The fiducial method for estimating the value of a parameter was introduced by Fisher in (2016) (0)
12 Inference and the structural model for ANOVA and MANOVA (1980) (0)
Ancillary Statistics, First Derivative (2006) (0)
Approximate conditional inference and the linear functional model (1987) (0)
ANCILLARY INFORMATION FOR STATISTICAL INFERENCEBy (1999) (0)
The Linear Lasso: a location model resolution. (2020) (0)
The identification of distribution form (1980) (0)
And what is this p-value thing ? Can Statistics ignore deaths and dollars (0)
Testing parameters but requiring continuity : How bootstrap and higher order converge (2013) (0)
DISCUSSION OF “ ANCILLARIES AND CONDITIONAL INFERENCE ” BY (2003) (0)
Fiducial and Structural Statistical Inference (2001) (0)
Continuous probability distributions. (1958) (0)
SIGNED LIKELIHOOD ROOT WITH A SIMPLE SKEWNESS CORRECTION: REGULAR MODELS, SECOND ORDER (2013) (0)
Strong matching of frequentist and Bayesian inferenceBY (1999) (0)
Discussion: On Arguments Concerning Statistical Principles (2014) (0)
Converting observed likelihood functions to tail probabilities (1991) (0)
22 Why does statistics have two theories ? (0)
Crisis in Science ? or Crisis in Statistics . Mixed messages and the user impact (2014) (0)
Higher order local unbiasedness with computer algebra (1992) (0)
Characteristics of distributions. (1958) (0)
The sample space. (1956) (0)
SUFFICIENCY FOR REGULAR MODELS (2016) (0)
Inference and Decision, Vol. 1, Selecta Statistica Canadiana (1973) (1977) (0)
Recent inference theory and enigmatic examples (2017) (0)
Combining p-values : a likelihood perspective (2010) (0)
Comments by the Author on a Review by J. B. Garner in "Review of the International Statistical Institute," Vol. 37: 322-323@@@The Structure of Inference (1972) (0)
Discussion (2013) (0)
Discussion: An Ancillarity Paradox which Appears in Multiple Linear Regression (1990) (0)
Statistical Principles and Tangent Models (1987) (0)
Testing canonical parameters in exponential models : Conditional analysis or an inadvertent saddlepoint (2011) (0)
Large sample properties of tests. (1956) (0)
HIGHER ORDER ASYMPTOTICS: AN INTRINSIC DIFFERENCE BETWEEN UNIVARIATE AND MULTIVARIATE MODELS (2007) (0)
Discrete probability distributions. (1958) (0)

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Donald A. S. Fraser's Academic­Influence.com Rankings