Probability Theory

Alireza Amirteimoori, Biresh Sahoo (), Vincent Charles and Saber Mehdizadeh ()
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Alireza Amirteimoori: Rasht Branch, Islamic Azad University
Vincent Charles: Pontifical Catholic University of Peru
Saber Mehdizadeh: Rasht Branch, Islamic Azad University

Chapter Chapter 3 in Stochastic Benchmarking, 2022, pp 31-54 from Springer

Abstract: 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.

Date: 2022
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DOI: 10.1007/978-3-030-89869-4_3

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