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Abstract

References (247)

A Mathematical Theory of Communication

1948 • 73,365 citations

Estimating the Dimension of a Model

1978 • 43,634 citations

An Analysis of Transformations

1964 • 13,718 citations

Information Theory and Statistical Mechanics

1957 • 12,269 citations

A Mathematical Theory of Evidence

2020 • 12,259 citations

A Mathematical Theory of Evidence

1976 • 8,206 citations

Statistical Decision Theory and Bayesian Analysis

1985 • 7,736 citations

FOUNDATIONS OF STATISTICS

2001 • 7,247 citations

Theory of probability

1939 • 6,981 citations

Robust Statistics

1981 • 6,585 citations

Information Theory

1966 • 4,099 citations

Bayesian Inference in Statistical Analysis.

1975 • 3,994 citations

The American Statistician

1947 • 3,920 citations

On the mathematical foundations of theoretical statistics

1922 • 3,786 citations

Journal of the Royal Statistical Society.

1923 • 3,533 citations

Stastical Decision Theory and Bayesian Analysis.

1988 • 3,052 citations

AN ESSAY TOWARDS SOLVING A PROBLEM IN THE DOCTRINE OF CHANCES

1958 • 2,978 citations

Statistical Reasoning With Imprecise Probabilities

1993 • 2,785 citations

LII. An essay towards solving a problem in the doctrine of chances. By the late Rev. Mr. Bayes, F. R. S. communicated by Mr. Price, in a letter to John Canton, A. M. F. R. S

1763 • 2,642 citations

Consistent Estimates Based on Partially Consistent Observations

1948 • 2,629 citations

A Treatise on Probability

1921 • 2,619 citations

Statistical Reasoning with Imprecise Probabilities

1991 • 2,478 citations

An invariant form for the prior probability in estimation problems

1946 • 2,260 citations

Bayes Factors

1995 • 2,168 citations

An Introduction to Bayesian Inference in Econometrics.

1974 • 2,058 citations

On a measure of divergence between two statistical populations defined by their probability distributions

1943 • 2,022 citations

The Foundations of Statistics

1973 • 1,997 citations

An analysis of transformations (with discussion)

1964 • 1,928 citations

INADMISSIBILITY OF THE USUAL ESTIMATOR FOR THE MEAN OF A MULTIVARIATE NORMAL DISTRIBUTION

1956 • 1,847 citations

An Introduction to Bayesian Inference in Econometrics.

1972 • 1,749 citations

Bayesian statistical inference for psychological research.

1963 • 1,732 citations

A Universal Prior for Integers and Estimation by Minimum Description Length

1983 • 1,688 citations

On the rationale of maximum-entropy methods

1982 • 1,613 citations

On a Measure of the Information Provided by an Experiment

1956 • 1,437 citations

Parameter Orthogonality and Approximate Conditional Inference

1987 • 1,314 citations

Bayesian Inference in Statistical Analysis

1974 • 1,292 citations

Scientific reasoning: the Bayesian approach

1990 • 1,290 citations

Bayesianly Justifiable and Relevant Frequency Calculations for the Applied Statistician

1984 • 1,274 citations

Encyclopedia of Statistical Sciences.

1983 • 1,268 citations

Prior Probabilities

1968 • 1,266 citations

Prior Probabilities

1968 • 1,180 citations

A Reference Bayesian Test for Nested Hypotheses and its Relationship to the Schwarz Criterion

1995 • 1,145 citations

Fiducial Distributions and Bayes' Theorem

1958 • 1,062 citations

The History of Statistics: The Measurement of Uncertainty before 1900

1986 • 1,050 citations

Reference Posterior Distributions for Bayesian Inference

1979 • 961 citations

Papers on probability, statistics and statistical physics

1990 • 908 citations

The Annals of Mathematical Statistics

1930 • 811 citations

Contributions to Probability and Statistics

1989 • 684 citations

A survey of sampling from contaminated distributions

1960 • 645 citations

Foresight: Its Logical Laws, Its Subjective Sources

1992 • 639 citations

Approximate Bayes factors and accounting for model uncertainty in generalised linear models

1996 • 632 citations

Logic of Statistical Inference.

1966 • 626 citations

Logic of Statistical Inference

2016 • 603 citations

An overview of robust Bayesian analysis

1994 • 579 citations

Expected Information as Expected Utility

1979 • 570 citations

Foundations of Statistical Inference.

1972 • 563 citations

Rational Selection of Decision Functions

1954 • 540 citations

Studies in Subjective Probability

1966 • 477 citations

Posterior odds ratios for selected regression hypotheses

1980 • 468 citations

Information-theoretic asymptotics of Bayes methods

1990 • 453 citations

On Equivalence of Infinite Product Measures

1948 • 440 citations

Probability, Induction and Statistics.

1974 • 431 citations

The likelihood principle

1984 • 425 citations

Confidence Regions in Non-Linear Estimation

1960 • 398 citations

Robust Bayesian analysis: sensitivity to the prior

1990 • 365 citations

The Structure of Inference.

1968 • 363 citations

On the Reconciliation of Probability Assessments

1979 • 339 citations

Bayes Factors and Choice Criteria for Linear Models

1980 • 334 citations

To criticize the critics: An objective bayesian analysis of stochastic trends

1991 • 322 citations

Why Isn't Everyone a Bayesian?

1986 • 319 citations

Estimating a Product of Means: Bayesian Analysis with Reference Priors

1989 • 319 citations

Inference, Method and Decision

1977 • 310 citations

Bayes Factors for Linear and Log‐Linear Models with Vague Prior Information

1982 • 297 citations

On Formulae for Confidence Points Based on Integrals of Weighted Likelihoods

1963 • 296 citations

Space, Time, and Spacetime

1975 • 296 citations

Interactive Elicitation of Opinion for a Normal Linear Model

1980 • 290 citations

E. T. Jaynes: Papers on Probability, Statistics and Statistical Physics

1983 • 290 citations

Jeffreys' prior is asymptotically least favorable under entropy risk

1994 • 284 citations

Estimation of a Covariance Matrix Using the Reference Prior

1994 • 283 citations

The Foundations of Statistical Inference.

1963 • 273 citations

The likelihood principle

1988 • 270 citations

Noninformative priors for one parameter of many

1989 • 268 citations

Marginalization Paradoxes in Bayesian and Structural Inference

1973 • 261 citations

A Reference Bayesian Test for Nested Hypotheses and its Relationship to the Schwarz Criterion

1995 • 256 citations

The Haar integral

1965 • 218 citations

The Geometry of Asymptotic Inference

1989 • 214 citations

Thomas Bayes's Bayesian Inference

1982 • 188 citations

Ordered group reference priors with application to the multinomial problem

1992 • 187 citations

R. A. Fisher and Fiducial Argument

1992 • 172 citations

Approximate Bayes Factors and Orthogonal Parameters, with Application to Testing Equality of Two Binomial Proportions

1992 • 167 citations

Bayesian Inference Using Intervals of Measures

1981 • 164 citations

Invariant Prior Distributions

1964 • 158 citations

Posterior Odds for Multivariate Normal Classifications

1964 • 155 citations

On Finitely Additive Priors, Coherence, and Extended Admissibility

1978 • 155 citations

Some observations on inverse probability including a new indifference rule

1947 • 149 citations

On the invariance of noninformative priors

1996 • 148 citations

A Bayesian Significance Test for Multinomial Distributions

1967 • 147 citations

On Bayesian Analysis of Generalized Linear Models Using Jeffreys's Prior

1991 • 141 citations

Bayes Theory

1983 • 140 citations

Weight of Evidence, Corroboration, Explanatory Power, Information and the Utility of Experiments

1960 • 140 citations

Bayesian analysis in econometrics and statistics

1981 • 134 citations

Posterior Distributions for Multivariate Normal Parameters

1963 • 133 citations

Some Remarks on Noninformative Priors

1995 • 132 citations

On Confidence Points and Bayesian Probability Points in the Case of Several Parameters

1965 • 129 citations

A new look at the Bayes procedure

1978 • 129 citations

On the coverage probability of confidence sets based on a prior distribution

1985 • 127 citations

The 1988 Wald Memorial Lectures: The Present Position in Bayesian Statistics

1990 • 121 citations

Statistics and Decisions

2020 • 121 citations

Some Validity Criteria for Statistical Inferences

1959 • 120 citations

A new look at the Bayes procedure

1998 • 118 citations

Frequentist validity of posterior quantiles in the presence of a nuisance parameter: Higher order asymptotics

1993 • 109 citations

De Finetti's Coherence and Statistical Inference

1987 • 108 citations

Why I am not an objective Bayesian; some reflections prompted by Rosenkrantz

1979 • 108 citations

Jaynes's maximum entropy prescription and probability theory

1971 • 107 citations

On priors providing frequentist validity for Bayesian inference

1995 • 107 citations

Reference Priors in a Variance Components Problem

1992 • 106 citations

Note on a Conditional Property of Student's $t^1$

1963 • 103 citations

An Example of Wide Discrepancy Between Fiducial and Confidence Intervals

1959 • 101 citations

Entropy and Uncertainty

1987 • 100 citations

Conditional Properties of Statistical Procedures

1979 • 98 citations

Frequentist and Bayesian Bartlett Correction of Test Statistics Based on Adjusted Profile Likelihoods

1994 • 96 citations

The extent of non-conglomerability of finitely additive probabilities

1984 • 94 citations

Bayes' Method for Bookies

1969 • 92 citations

On Prior Distributions for Binary Trials

1984 • 92 citations

Multivariate Analysis

1958 • 91 citations

Choice of hierarchical priors: admissibility in estimation of normal means

1996 • 90 citations

Bayesian Methods and Entropy in Economics and Econometrics

1991 • 88 citations

Inference, Method, and Decision: Towards a Bayesian Philosophy of Science.

1979 • 84 citations

Simple Modifications for Signed Roots of Likelihood Ratio Statistics

1993 • 82 citations

Strong Inconsistency from Uniform Priors

1976 • 81 citations

Relationships between Bayesian and Confidence Limits for Predictions

1964 • 81 citations

Doing What Comes Naturally: Interpreting a Tail Area as a Posterior Probability or as a Likelihood Ratio

1973 • 78 citations

Bayesian Interval Estimates Which are Also Confidence Intervals

1993 • 74 citations

Inference, Method and Decision: Towards a Bayesian Philosophy of Science.

1981 • 70 citations

A Bayesian approach to transformations to normality

1981 • 67 citations

A note on the existence of the posterior distribution for a class of mixed models for binomial responses

1995 • 65 citations

THE PRECISION OF OBSERVED VALUES OF SMALL FREQUENCIES

1948 • 65 citations

Noninformative Priors and Bayesian Testing for the AR(1) Model

1994 • 65 citations

A Bayesian analysis of classical hypothesis testing

1980 • 63 citations

Approximate Posterior Distributions

1976 • 63 citations

Models, prior information, and Bayesian analysis

1996 • 60 citations

A comparison of some Bayesian and frequentist inferences

1965 • 58 citations

The Asymptotically Unbiased Prior Distribution

1965 • 56 citations

A Bayesian Indifference Procedure

1965 • 56 citations

THE PRESENT POSITION IN PROBABILITY THEORY

1955 • 54 citations

A Derivation of the Probabilistic Explication of Information

1966 • 53 citations

A Statistical Diptych: Admissible Inferences--Recurrence of Symmetric Markov Chains

1992 • 53 citations

Approximation of Improper Prior Measures by Prior Probability Measures

1965 • 51 citations

On Some Difficulties in a Frequency Theory of Inference

1973 • 51 citations

Conditional Confidence Level Properties

1959 • 51 citations

A note on noninformative priors for Weibull distributions

1997 • 51 citations

Un-Bayesian implications of improper Bayes inference in routine statistical problems

1972 • 50 citations

Overdispersed generalized linear models

1997 • 50 citations

On the Relationship between Bayesian and Non-Bayesian Interval Estimates

1991 • 48 citations

Bayesian Intervals with Good Frequentist Behaviour in the Presence of Nuisance Parameters

1993 • 47 citations

Conditional inference and Cauchy models

1992 • 46 citations

On the Representation of Ignorance

1977 • 44 citations

A paradox involving quasi prior distributions

1965 • 43 citations

Prior probability and uncertainty

1971 • 43 citations

Space, Time, and Spacetime

1976 • 42 citations

Maximum Entropy and Bayesian Methods

1991 • 40 citations

New Developments in the Applications of Bayesian Methods

1978 • 39 citations

Some remarks on estimating a noncentrality parameter

1975 • 39 citations

Comment on the interpretation of inductive probabilities

1973 • 38 citations

On Prior Distributions for Binary Trials

1984 • 38 citations

Conditional Properties of Statistical Procedures for Location and Scale Parameters

1979 • 37 citations

Noninformative priors for maximal invariant parameter in group models

1995 • 37 citations

[Why Isn't Everyone a Bayesian?]: Reply

1986 • 36 citations

Least-informative Bayesian prior distributions for finite samples based on information theory

1990 • 36 citations

Coherent and Continuous Inference

1983 • 36 citations

The Foundations of Statistical Inference

1963 • 36 citations

Bayesian Analysis, Model Selection and Prediction

1993 • 35 citations

Bayesian reference prior analysis on the ratio of variances for the balanced one-way random effect model

1994 • 35 citations

Die Principien der Wahrscheinlichkeitsrechnung: Eine logische Untersuchung

2009 • 35 citations

Bayesian Analysis for Random Coefficient Regression Models Using Noninformative Priors

1995 • 35 citations

Reference Prior Bayesian Analysis for Normal Mean Products

1995 • 35 citations

Noninformative priors for inferences in exponential regression models

1991 • 34 citations

Bayesian and Frequentist Bartlett Corrections for Likelihood Ratio and Conditional Likelihood Ratio Tests

1992 • 34 citations

Right Haar Measure for Convergence in Probability to Quasi Posterior Distributions

1965 • 34 citations

On Bayesian Analysis of Generalized Linear Models Using Jeffreys's Prior

1991 • 34 citations

On Comparisons between Confidence Point Procedures in the Case of a Single Parameter

1965 • 32 citations

The Interpretation of Improper Prior Distributions as Limits of Data Dependent Proper Prior Distributions

1980 • 32 citations

An alternative to the standard Bayesian procedure for discrimination between normal linear models

1984 • 32 citations

Similarity and probability

1974 • 30 citations

Coherent Inference from Improper Priors and from Finitely Additive Priors

1989 • 30 citations

Multiparameter Bayesian Indifference Procedures

1969 • 30 citations

On the choice of prior distribution for the Box-Cox transformed linear model

1984 • 29 citations

Coherent Statistical Inference and Bayes Theorem

1991 • 28 citations

Jeffreys' prior for logit models

1994 • 28 citations

Foundations of statistical inference

1987 • 28 citations

Inner Statistical Inference II

1981 • 27 citations

Necessary and Sufficient Condition for Convergence in Probability to Invariant Posterior Distributions

1970 • 26 citations

Inner Statistical Inference

1977 • 23 citations

Note on the Confidence-Prior of Welch and Peers

1966 • 23 citations

Some Diagnostics of Maximum Likelihood and Posterior Nonnormality

1994 • 22 citations

Reference Priors for the Orbit in a Group Model

1990 • 22 citations

Comments on a Posterior Distribution of Geisser and Cornfield

1964 • 21 citations

On obtaining invariant prior distributions

1993 • 21 citations

On Bayesian nonlinear regression with an enzyme example

1983 • 20 citations

A Conditional Confidence Principle

1977 • 20 citations

Expectation consistency of inverse probability distributions

1972 • 20 citations

Confidence Properties of Bayesian Interval Estimates

1968 • 20 citations

Reference Priors When the Stopping Rule Depends on the Parameter of Interest

1993 • 19 citations

Expectation Consistency and Generalized Bayes Inference

1973 • 18 citations

Recent developments in statistics and their applications

1989 • 18 citations

On Some Bayesian Solutions of the Neyman-Scott Problem

1994 • 17 citations

Noninformative Priors and Nuisance Parameters

1993 • 17 citations

The conflict between improper priors and robustness

1996 • 16 citations

Finitely Additive Priors, Coherence and the Marginalization Paradox

1980 • 16 citations

The Foundations of Statistical Inference

1963 • 16 citations

The Posterior $t$ Distribution

1963 • 16 citations

Hierarchical Bayes estimators of the error variance in one-way ANOVA models

1995 • 15 citations

On a theorem of Stein relating Bayesian and classical inferences in group models

1986 • 15 citations

Bayesian Inference in Linear Relations

1972 • 15 citations

On priors that match posterior and frequentist distribution functions

1993 • 14 citations

Priors for Exponential Families Which Maximize the Association between Past and Future Observations

1987 • 14 citations

Reference Prior Bayesian Analysis for Normal Mean Products

1995 • 14 citations

On the Expected Amount of Information from a Non-Linear Model

1992 • 14 citations

Data-translated likelihood and Jeifreys's rules

1990 • 13 citations

Reference Priors When the Stopping Rule Depends on the Parameter of Interest

1993 • 12 citations

Deriving Posterior Distributions for a Location Parameter: A Decision Theoretic Approach

1984 • 10 citations

The formal posterior of a standard flat prior in MANOVA is incoherent

1995 • 10 citations

UNIFORM APPROXIMATION OF BAYES SOLUTIONS AND POSTERIORS: FREQUENTISTLY VALID BAYES INFERENCE

1997 • 9 citations

Review and Analysis of Some Inconsistencies Related to Improper Priors and Finite Additivity

1982 • 9 citations

Reparameterization and Diagnostics of Posterior Non-Normality

1992 • 8 citations

Consistent prior distributions for transformed models

1985 • 8 citations

Information tradeoff

1995 • 7 citations

Reference Priors and Identifiability Problems in Non-Linear Models

1987 • 6 citations

Coherent Distributions and Lindley’s Paradox

1987 • 6 citations

On Maximizing Missing Information About a Hypothesis

1985 • 6 citations

Fully Coherent Inference

1991 • 5 citations

The Unfathomable Influence of Kolmogorov

1990 • 5 citations

On the necessity of Bayesian inference and the construction of measures of nearness to Bayesian form

1978 • 5 citations

The De Finetti Transform

1996 • 4 citations

On a Fiducial Example of C. Stein

1966 • 4 citations

Is Jeffreys a “Necessarist”?

1982 • 4 citations

A note on coherent invariant distributions as non-informative priors for exponential and location-scale families

1989 • 4 citations

Reply to a Comment on “Is Jeffreys a ‘Necessarist’?”

1982 • 4 citations

Paradoxes of Conglomerability and Fiducial Inference *

1982 • 3 citations

Minimally Informative Prior Analysis of a Non-Linear Model

1983 • 3 citations

On the Uniform Approximation of Laplace′s Prior by t-Priors in Location Problems

1995 • 2 citations

A Comment on "Is Jeffreys a 'Necessarist'?"

1982 • 2 citations

Is Jeffreys a "Necessarist"?

1982 • 2 citations

A Comment on “Is Jeffreys a ‘Necessarist’?”

1982 • 2 citations

Who Knows what Alternative Lurks in the Hearts of Significance Tests?

1992 • 2 citations

On σ-Additive Priors, σ-coherence, and the Existence of Posteriors

1988 • 2 citations

Information

1977 • 1 citations

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The Selection of Prior Distributions by Formal Rules (1996) – Journal of the American Statistical Association | Metascience Observatory Explorer