probability theory

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probability theory

The branch of mathematics that studies the likelihood of occurrence of random events in order to predict the behavior of defined systems.

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

probabil′ity the`ory

the theory of analyzing and making mathematical statements concerning the probability of the occurrence of uncertain events.

[1830–40]

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Noun

probability theory - the branch of applied mathematics that deals with probabilities

theory of probability

applied math, applied mathematics - the branches of mathematics that are involved in the study of the physical or biological or sociological world

statistics - a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parameters

binomial theorem - a theorem giving the expansion of a binomial raised to a given power

References in periodicals archive ?

For students and researchers in applied mathematics who are interested in science and engineering, E, Li, and Vanden-Eijnden provide a mathematically solid introduction to the basic ideas and tools in probability theory and stochastic analysis.

Applied Stochastic Analysis

Rudolf Taschner surveys the history of games and different approaches, from the evolution of probability theory to word plays and the current model of applying game theory to military strategy and global finance.

Game Changers

By examining the foundations of macroeconometrics, this article demonstrates that all macroeconometric modelling work is based on shaky foundations because the conditions for the probability theory do not hold in time-series modelling.

MACROECONOMETRICS: STATISTICAL ALCHEMY AT THE FINAL STAGE

Jaynes was one of the proponents of the usage of probability theory as an extension of deductive logic.

On the applicability of Bell's inequality

As cyberthreat analysts, experts rely on the company's machine learning and Bayesian probability theory to protect customers from cyberthreats.

Darktrace CEO, British Prime Minister discuss cybersecurity with President Obama

It begins with a brief review of probability theory, which provides an understanding of the core building block of entropy.

Handbook of Differential Entropy

The University of Bucharest counted among its Professors some distinguished mathematicians, like Octav Onicescu (Probability Theory), Miron Nicolescu (Mathematical Analysis), Gheorghe Vranceanu (Geometry), Nicolae Theodorescu (Differential Equations), Simion Stoilow (Complex Variables), all of them former students of great mathematicians from France or Italy.

Cassius Tocqueville Ionescu Tulcea in occasion of his 90-th birthday

Before the formula, investment decisions were not much different than betting: this details much of the work leading to the equation's discovery, from early science and business pursuits of accountants, chemists and mathematicians working across Europe to thinkers who developed a theory of financial markets and applied probability theory to their operations.

Pricing the Future

probability theory as a mathematical science similar to mechanics or electrodynamics, and probability itself as an objective measurable concept similar to mass or charge.

Objective Bayesian probability

This approach, although is analogous to probability theory, can be carried out under weaker assumption and used when limited observational information is available.