Definition of Probability theory

1. Noun. The branch of applied mathematics that deals with probabilities.

Exact synonyms: Theory Of Probability
Generic synonyms: Applied Math, Applied Mathematics
Category relationships: Statistics
Terms within: Binomial Theorem

Definition of Probability theory

1. Noun. (mathematics) The mathematical study of probability (the likelihood of occurrence of random events in order to predict the behavior of defined systems). ¹

¹ Source: wiktionary.com

Lexicographical Neighbors of Probability Theory

probabilistically checkable proofs
probabilists
probabilities
probability
probability density
probability density function
probability density functions
probability distribution
probability measure
probability paper
probability space
probability spaces
probability theorist
probability theory (current term)
probable
probable cause
probableness
probables
probabley
probably
probacy
probal
probality
proball
proband
probands
probang
probangs

Literary usage of Probability theory

Below you will find example usage of this term as found in modern and/or classical literature:

1. Statistics, Probability, and Game Theory: Papers in Honor of David Blackwellby David Blackwell, Thomas Shelburne Ferguson, Lloyd S. Shapley, James B. MacQueen by David Blackwell, Thomas Shelburne Ferguson, Lloyd S. Shapley, James B. MacQueen (1996)
"His published work falls mainly into five categories: probability theory, statistical theory, ... probability theory. In terms of numbers of publications, ..."

2. Quantum Statistical Mechanics and Lie Group Harmonic Analysis by Norman Hurt, Robert Hermann (1980)
"(Indeed, general measure theory has been most useful in clarifying the foundations of probability theory and in providing technical tools for the solution ..."

3. Cartanian Geometry, Nonlinear Waves, and Control Theory. by Robert Hermann (1980)
"(For example, the case G = additive group of real numbers is ubiquitous in standard probability theory. “Gaussians” are family of probability measures which ..."

4. Oil Spill Dispersants: Efficacy And Effects by National Research Council (U. S.) (2005)
"The aim of the present work is to provide a simple addendum to that work in the direction of probability theory and statistics. Three other applications are ..."

5. Stochastic Orders and Decision Under Riskby Karl C. Mosler, Marco Scarsini by Karl C. Mosler, Marco Scarsini (1991)
"In fact, the Hamburg workshop gathered people from probability theory, statistics, ... Other topics of probability theory - partly geometric ones - are ..."

6. Mathematical Statistics and Applications: Festschrift for Constance Van Eeden by Marc Moore, Constance van Eeden, Sorana Froda, Christian Léger (2003)
"'Quantum probability,' or 'noncommutative probability theory' is the name of the branch of mathematics which studies the mathematical structure of states ..."

7. Selected Proceedings of the Sheffield Symposium on Applied Probability by Ishwar V. Basawa, Robert Lee Taylor (1991)
"But the concept of applied probability, as a discipline somewhat distinct from probability theory, does not appear to have crystallized until 1955. ..."

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