Probability Theory

Alireza Amirteimoori; Biresh K. Sahoo; Vincent Charles; Saber Mehdizadeh

doi:10.1007/978-3-030-89869-4_3

Probability Theory

Alireza Amirteimoori, Biresh K. Sahoo, Vincent Charles, Saber Mehdizadeh

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

Probability theory is a branch of mathematical science that deals with the mathematical analysis of random events. Probability is commonly used to describe the mind’s attitude to statements that we are not sure of. Statements usually take the form of “Will a particular event occur?” and the attitude of our minds will be of the form “How confident are we that this event will occur?” Our confidence can be described numerically, which is a value between 0 and 1 that we call probability. The more likely to occur an event is, the more confident we are that it will occur. The focus in this chapter is mainly on probability space, random variable, multi-dimensional probability distribution, expected value, variance, and covariance.

Original language	English
Title of host publication	International Series in Operations Research and Management Science
Publisher	Springer
Pages	31-54
Number of pages	24
DOIs	https://doi.org/10.1007/978-3-030-89869-4_3
State	Published - 2022
Externally published	Yes

Publication series

Name	International Series in Operations Research and Management Science
Volume	317
ISSN (Print)	0884-8289
ISSN (Electronic)	2214-7934

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10.1007/978-3-030-89869-4_3

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title = "Probability Theory",

abstract = "Probability theory is a branch of mathematical science that deals with the mathematical analysis of random events. Probability is commonly used to describe the mind{\textquoteright}s attitude to statements that we are not sure of. Statements usually take the form of “Will a particular event occur?” and the attitude of our minds will be of the form “How confident are we that this event will occur?” Our confidence can be described numerically, which is a value between 0 and 1 that we call probability. The more likely to occur an event is, the more confident we are that it will occur. The focus in this chapter is mainly on probability space, random variable, multi-dimensional probability distribution, expected value, variance, and covariance.",

author = "Alireza Amirteimoori and Sahoo, {Biresh K.} and Vincent Charles and Saber Mehdizadeh",

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AU - Sahoo, Biresh K.

AU - Charles, Vincent

AU - Mehdizadeh, Saber

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Probability Theory

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