Probability theory - Revision history

Karl Jones at 23:59, 4 April 2016

2016-04-04T23:59:27Z

Karl Jones: /* See also */

2016-03-01T01:09:10Z

‎See also

Karl Jones at 17:16, 4 February 2016

2016-02-04T17:16:17Z

Karl Jones: /* Description */

2015-09-08T20:20:49Z

‎Description

Karl Jones at 20:20, 8 September 2015

2015-09-08T20:20:18Z

Karl Jones: First

2015-08-13T22:08:20Z

First

New page

'''Probability theory''' is the branch of [[mathematics]] concerned with probability, the analysis of random phenomena.

The central objects of probability theory are random variables, stochastic processes, and events: mathematical abstractions of non-deterministic events or measured quantities that may either be single occurrences or evolve over time in an apparently random fashion.

If an individual coin toss or the roll of dice is considered to be a random event, then if repeated many times the sequence of random events will exhibit certain patterns, which can be studied and predicted.

Two representative mathematical results describing such patterns are the law of large numbers and the central limit theorem.

== Applications and activities ==

As a mathematical foundation for statistics, probability theory is essential to many human activities that involve quantitative analysis of large sets of data.

Methods of probability theory also apply to descriptions of complex systems given only partial knowledge of their state, as in statistical mechanics.

A great discovery of twentieth century physics was the probabilistic nature of physical phenomena at atomic scales, described in quantum mechanics.

== See also ==

* [[Data]]
* [[Mathematics]]
* [[Statistics]]

== External links ==

* [https://en.wikipedia.org/wiki/Probability_theory Probability theory] @ Wikipedia

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	* [https://en.wikipedia.org/wiki/Probability_theory Probability theory] @ Wikipedia		* [https://en.wikipedia.org/wiki/Probability_theory Probability theory] @ Wikipedia
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	'''Probability theory''' is the branch of [[mathematics]] concerned with probability, the analysis of random phenomena.		'''Probability theory''' is the branch of [[mathematics]] concerned with probability, the analysis of random phenomena.
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−	~~(TO DO: organize and cross-reference.)~~

	== Description ==		== Description ==

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 == Description ==
-The central objects of probability theory are [[random variables]], [[stochastic processes]], and events: [[Mathematical abstraction|mathematical abstractions]] of [[non-deterministic events]] or measured quantities that may either be single occurrences or evolve over time in an apparently random fashion.
+The central objects of probability theory are [[random variables]], [[stochastic processes]], and events: [[Abstraction (mathematics)|mathematical abstractions]] of [[non-deterministic events]] or measured quantities that may either be single occurrences or evolve over time in an apparently random fashion.
 If an individual coin toss or the roll of dice is considered to be a random event, then if repeated many times the sequence of random events will exhibit certain patterns, which can be studied and predicted.

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 * [[Mathematics]]
 * [[Statistics]]
 == External links ==
 * [https://en.wikipedia.org/wiki/Probability_theory Probability theory] @ Wikipedia

@@ Line 1: / Line 1: @@
 '''Probability theory''' is the branch of [[mathematics]] concerned with probability, the analysis of random phenomena.
-The central objects of probability theory are random variables, stochastic processes, and events: mathematical abstractions of non-deterministic events or measured quantities that may either be single occurrences or evolve over time in an apparently random fashion.
+(TO DO: organize and cross-reference.)
 If an individual coin toss or the roll of dice is considered to be a random event, then if repeated many times the sequence of random events will exhibit certain patterns, which can be studied and predicted.
-Two representative mathematical results describing such patterns are the law of large numbers and the central limit theorem.
+Two representative mathematical results describing such patterns are the [[law of large numbers]] and the [[central limit theorem]].
 == Applications and activities ==