Théorie analytique des probabilités

E139490

Théorie analytique des probabilités is Pierre-Simon Laplace’s foundational treatise that systematically developed probability theory and laid the groundwork for modern statistics.

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Predicate Object
instanceOf book
mathematical treatise
aim to apply probability to natural philosophy
to apply probability to social sciences
to place probability on an analytical foundation
author Pierre-Simon Laplace
authorBirthYear 1749
authorDeathYear 1827
centuryOfPublication 19th century
countryOfOrigin France
describedAs foundational treatise on probability
systematic development of probability theory
field mathematics
probability theory
statistics
hasEdition 1812 first edition
subsequent expanded editions
hasPart Essai philosophique sur les probabilités
influenced 19th-century probability theory
20th-century mathematical statistics
Bayesian inference
surface form: Bayesian statistics

frequency theory of probability
modern statistics
method analytic methods
calculus
series expansions
notableFor development of generating function techniques in probability
early formulation of Bayesian ideas
influence on later probabilists such as Poisson
systematic treatment of errors of observation
originalLanguage French
placeOfPublication Paris
publicationYear 1812
publisher Courcier
structure multiple books and supplements
topic Bayesian inference
analytical methods in probability
binomial distribution
combinatorics
error theory
expectation
foundations of probability
generating functions
inverse probability
law of large numbers
least squares
normal distribution
probability of causes

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Pierre-Simon Laplace notableWork Théorie analytique des probabilités