25 terms

Important publications

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Théorie analytique des probabilités
Introduced the Laplace transform, exponential families, and conjugate priors in Bayesian statistics. Pioneering asymptotic statistics, proved an early version of the Bernstein-von Mises theorem on the irrelevance of the (regular) prior distribution on the limiting posterior distribution, highlighting the asymptotic role of the Fisher information. Studies the influence of median and skewness in regression analysis. Inspired the field of robust regression, proposed the Laplace distribution and was the first to provide alternatives to Carl Friedrich Gauss's work on statistics
Mathematical Methods of Statistics
Carefully written and extensive account of measure-theoretic probability for statisticians, along with careful mathematical treatment of classical statistics
Statistical Decision Functions
Carefully written and extensive account of measure-theoretic probability for statisticians, along with careful mathematical treatment of classical statistics
Testing Statistical Hypotheses
Exposition of statistical hypothesis testing using the statistical decision theory of Abraham Wald, with some use of measure-theoretic probability.
An Essay towards solving a Problem in the Doctrine of Chances
In this paper Bayes addresses the problem of using a sequence of identical "trials" to determine the per-trial probability of "success" — the so-called inverse probability problem. It later inspired the theorem that bears his name (Bayes' theorem). See also Pierre Simon de Laplace
On Small Differences in Sensation
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Truth and Probability
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Bayesian Inference in Statistical Analysis
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Theory of Probability
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Introduction to statistical decision theory
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An Introduction to Multivariate Analysis
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Time Series Analysis Forecasting and Control
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Statistical Methods for Research Workers
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Statistical Methods
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Principles and Procedures of Statistics with Special Reference to the Biological Sciences
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Biometry: The Principles and Practices of Statistics in Biological Research
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On the uniform convergence of relative frequencies of events to their probabilities
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On the mathematical foundations of theoretical statistics
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Estimation of variance and covariance components
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Maximum-likelihood estimation for the mixed analysis of variance model
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Recovery of inter-block information when block sizes are unequal
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Estimation of Variance and Covariance Components in Linear Models
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Nonparametric estimation from incomplete observations
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A generalized Wilcoxon test for comparing arbitrarily singly-censored samples
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Evaluation of survival data and two new rank order statistics arising in its consideration
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