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Encyclopedia > List of publications in statistics

This is a list of important publications in statistics, organized by field.

Statistics is a broad mathematical discipline which studies ways to collect, summarize and draw conclusions from data. ...


Some reasons why a particular publication might be regarded as important:

  • Topic creator – A publication that created a new topic
  • Breakthrough – A publication that changed scientific knowledge significantly
  • Introduction – A publication that is a good introduction or survey of a topic
  • Influence – A publication which has significantly influenced the world
  • Latest and greatest – The current most advanced result in a topic

Contents


Probability

The Doctrine of Chances The word probability derives from the Latin probare (to prove, or to test). ... The Doctrine of Chances is a book on probability theory by 18th-century French mathematician Abraham de Moivre, published in 1733. ...

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

Abraham de Moivre Abraham de Moivre (May 26, 1667 in Vitry-le-François, Champagne, France – November 27, 1754 in London, England) was a French mathematician famous for de Moivres formula, which links complex numbers and trigonometry, and for his work on the normal distribution and probability theory. ... The normal distribution, also called Gaussian distribution, is an extremely important probability distribution in many fields. ... See binomial (disambiguation) for a list of other topics using that name. ... Central limit theorems are a set of weak-convergence results in probability theory. ... In probability theory, the theorem of de Moivre-Laplace is a special case of the central limit theorem. ...

Bayesian statistics

An Essay Toward Solving a Problem in the Doctrine of Chances Bayesian inference is statistical inference in which probabilities are interpreted not as frequencies or proportions or the like, but rather as degrees of belief. ...

Author: Thomas Bayes
Publication data: 1764
Online version: [1] (PostScript file); [2] (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

Bayesian Theory Thomas Bayes Reverend Thomas Bayes (c. ... PostScript (PS) is a page description language and programming language used primarily in the electronic and desktop publishing areas. ... Portable Document Format (PDF) is a file format developed by Adobe Systems for representing documents in a manner that is independent of the original application software, hardware, and operating system used to create those documents. ... The word probability derives from the Latin probare (to prove, or to test). ... In probability theory, inverse probability is an obsolete term for the probability distribution of an unobserved variable. ... Bayes theorem is a result in probability theory, which relates the conditional and marginal probability distributions of random variables. ... Pierre-Simon Laplace Pierre-Simon Laplace (March 23, 1749 – March 5, 1827) was a French mathematician and astronomer, the discoverer of the Laplace transform and Laplaces equation. ...

Author: Bernardo & Smith
Publication data: 2002?
Description: An up to date guide to modern Bayesian theory.
Importance:

Introductory Probability

Henk Tijms (2004), Understanding Probability, Chance Rules in Everyday Life, Cambridge University Press. A delightful introduction to probability theory with many examples.


Applied statistics

Applied Statistics and Probability for Engineers, 3rd edition, Douglas C. Montgomery and George C. Runger, John Wiley & Sons Inc, 2003. A good introduction to this topic. Applied statistics is the use of statistics and statistical theory in real-life situations. ...


Analysis of variance

In statistics, analysis of variance (ANOVA) is a collection of statistical models and their associated procedures which compare means by splitting the overall observed variance into different parts. ...

Extreme value theory

Extreme value theory is a branch of statistics dealing with the extreme deviations from the median of probability distributions. ...

Regression analysis

aaaRegression analysis is any statistical method where the mean of one or more random variables is predicted conditioned on other (measured) random variables. ...

Machine learning

...

Multivariate statistics

Multivariate statistics or multivariate statistical analysis in statistics describes a collection of procedures which involve observation and analysis of more than one statistical variable at a time. ...

Statistical phenomena


 
 

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