List Of Publications In Statistics
Probability
The Doctrine of Chances
Author:
Abraham de Moivre
Publication data:
1738 (2nd ed.)
Online version:
?
Description:
The book introduced the concept of
normal distributions
as approximations to
binomial distributions
. In effect, de Moivre proved a weak version of the
central limit theorem
. Sometimes his result is called the
theorem of de Moivre-Laplace
.
Importance:
Topic creator, Breakthrough, Influence
Bayesian statistics
An Essay Toward Solving a Problem in the Doctrine of Chances
Author:
Thomas Bayes
Publication data:
1764
Online version:
http://www.york.ac.uk/depts/maths/histstat/essay.ps
(
PostScript file
);
http://www.york.ac.uk/depts/maths/histstat/essay.pdf
(
PDF file
)
Description:
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
.
Importance:
Topic creator, Breakthrough, Influence
Applied statistics
Analysis of variance
Extreme value theory
Regression analysis
Machine learning
Multivariate statistics
Statistical phenomena
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